/export/starexec/sandbox/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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


KILLED
proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 237 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 0 ms]
    (10) typed CpxTrs
(11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(12) TRS for Loop Detection
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (18) CpxWeightedTrs
    (19) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxTypedWeightedTrs
    (21) CompletionProof [UPPER BOUND(ID), 0 ms]
    (22) CpxTypedWeightedCompleteTrs
        (23) NarrowingProof [BOTH BOUNDS(ID, ID), 41 ms]
        (24) CpxTypedWeightedCompleteTrs
        (25) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 26 ms]
        (26) CpxRNTS
        (27) SimplificationProof [BOTH BOUNDS(ID, ID), 8 ms]
        (28) CpxRNTS
    (29) CompletionProof [UPPER BOUND(ID), 0 ms]
    (30) CpxTypedWeightedCompleteTrs
        (31) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (32) CpxRNTS
(33) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(34) CdtProblem
    (35) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (36) CdtProblem
    (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (38) CdtProblem
    (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (40) CdtProblem
    (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (42) CdtProblem
    (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 0 ms]
    (44) CdtProblem
    (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (46) CdtProblem
    (47) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 15 ms]
    (48) CdtProblem
    (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (50) CdtProblem
    (51) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (52) CdtProblem
    (53) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (54) CdtProblem
    (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 17 ms]
    (56) CdtProblem
    (57) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (58) CdtProblem
    (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (60) CdtProblem
    (61) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (62) CdtProblem
    (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (64) CdtProblem
    (65) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (66) CdtProblem
    (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 50 ms]
    (68) CdtProblem
    (69) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 10 ms]
    (70) CdtProblem
    (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 130 ms]
    (72) CdtProblem
    (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 72 ms]
    (74) CdtProblem
    (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 18 ms]
    (76) CdtProblem
    (77) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (78) CdtProblem
    (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (80) CdtProblem
    (81) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (82) CdtProblem
    (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 32 ms]
    (84) CdtProblem
    (85) CdtLeafRemovalProof [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) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (96) CdtProblem
    (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (98) CdtProblem
    (99) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 6 ms]
    (100) CdtProblem
    (101) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (102) CdtProblem
    (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 15 ms]
    (104) CdtProblem
    (105) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (106) CdtProblem
    (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (108) CdtProblem
    (109) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 6 ms]
    (110) CdtProblem
    (111) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (112) CdtProblem
    (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7 ms]
    (114) CdtProblem
    (115) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (116) CdtProblem
    (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 23 ms]
    (118) CdtProblem
    (119) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (120) CdtProblem
    (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1 ms]
    (122) CdtProblem
    (123) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (124) CdtProblem
    (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (126) CdtProblem
    (127) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (128) CdtProblem
    (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 11 ms]
    (130) CdtProblem
    (131) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (132) CdtProblem
    (133) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 9 ms]
    (134) CdtProblem
    (135) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (136) CdtProblem
    (137) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 3 ms]
    (138) CdtProblem
    (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (140) CdtProblem
    (141) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (142) CdtProblem
    (143) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (144) CdtProblem
    (145) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 43 ms]
    (146) CdtProblem
    (147) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 6 ms]
    (148) CdtProblem
    (149) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 55 ms]
    (150) CdtProblem
    (151) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (152) CdtProblem
    (153) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 9 ms]
    (154) CdtProblem
    (155) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (156) CdtProblem
    (157) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (158) CdtProblem
    (159) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (160) CdtProblem
    (161) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 63 ms]
    (162) CdtProblem
    (163) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (164) CdtProblem
    (165) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 31 ms]
    (166) CdtProblem
    (167) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 193 ms]
    (168) CdtProblem
    (169) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (170) CdtProblem
    (171) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 32 ms]
    (172) CdtProblem
    (173) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (174) CdtProblem
    (175) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (176) CdtProblem
    (177) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (178) CdtProblem
    (179) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (180) CdtProblem
    (181) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (182) CdtProblem
    (183) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 120 ms]
    (184) CdtProblem
    (185) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (186) CdtProblem
    (187) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 88 ms]
    (188) CdtProblem
    (189) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (190) CdtProblem
    (191) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 8 ms]
    (192) CdtProblem
    (193) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 36 ms]
    (194) CdtProblem
    (195) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (196) CdtProblem


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

(0)
Obligation:
The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   a(a(divides, 0), a(s, y)) -> true
   a(a(divides, a(s, x)), a(s, y)) -> a(a(a(div2, x), a(s, y)), y)
   a(a(a(div2, x), y), 0) -> a(a(divides, x), y)
   a(a(a(div2, 0), y), a(s, z)) -> false
   a(a(a(div2, a(s, x)), y), a(s, z)) -> a(a(a(div2, x), y), z)
   a(a(filter, f), nil) -> nil
   a(a(filter, f), a(a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs))
   a(a(a(if, true), x), xs) -> a(a(cons, x), xs)
   a(a(a(if, false), x), xs) -> xs
   a(a(not, f), x) -> a(not2, a(f, x))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs)))

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

(1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID))
The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem:

   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve


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

(2)
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(a(divides, 0), a(s, y)) -> true
   a(a(divides, a(s, x)), a(s, y)) -> a(a(a(div2, x), a(s, y)), y)
   a(a(a(div2, x), y), 0) -> a(a(divides, x), y)
   a(a(a(div2, 0), y), a(s, z)) -> false
   a(a(a(div2, a(s, x)), y), a(s, z)) -> a(a(a(div2, x), y), z)
   a(a(filter, f), nil) -> nil
   a(a(filter, f), a(a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs))
   a(a(a(if, true), x), xs) -> a(a(cons, x), xs)
   a(a(a(if, false), x), xs) -> xs
   a(a(not, f), x) -> a(not2, a(f, x))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs)))

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

   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve

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

(3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID))
proved innermost termination of relative rules
----------------------------------------

(4)
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(a(divides, 0), a(s, y)) -> true
   a(a(divides, a(s, x)), a(s, y)) -> a(a(a(div2, x), a(s, y)), y)
   a(a(a(div2, x), y), 0) -> a(a(divides, x), y)
   a(a(a(div2, 0), y), a(s, z)) -> false
   a(a(a(div2, a(s, x)), y), a(s, z)) -> a(a(a(div2, x), y), z)
   a(a(filter, f), nil) -> nil
   a(a(filter, f), a(a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs))
   a(a(a(if, true), x), xs) -> a(a(cons, x), xs)
   a(a(a(if, false), x), xs) -> xs
   a(a(not, f), x) -> a(not2, a(f, x))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs)))

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

   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve

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

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

(6)
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(a(divides, 0'), a(s, y)) -> true
   a(a(divides, a(s, x)), a(s, y)) -> a(a(a(div2, x), a(s, y)), y)
   a(a(a(div2, x), y), 0') -> a(a(divides, x), y)
   a(a(a(div2, 0'), y), a(s, z)) -> false
   a(a(a(div2, a(s, x)), y), a(s, z)) -> a(a(a(div2, x), y), z)
   a(a(filter, f), nil) -> nil
   a(a(filter, f), a(a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs))
   a(a(a(if, true), x), xs) -> a(a(cons, x), xs)
   a(a(a(if, false), x), xs) -> xs
   a(a(not, f), x) -> a(not2, a(f, x))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs)))

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

   encArg(divides) -> divides
   encArg(0') -> 0'
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_divides -> divides
   encode_0 -> 0'
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve

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

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

(8)
Obligation:
Innermost TRS:
Rules:
a(a(divides, 0'), a(s, y)) -> true
a(a(divides, a(s, x)), a(s, y)) -> a(a(a(div2, x), a(s, y)), y)
a(a(a(div2, x), y), 0') -> a(a(divides, x), y)
a(a(a(div2, 0'), y), a(s, z)) -> false
a(a(a(div2, a(s, x)), y), a(s, z)) -> a(a(a(div2, x), y), z)
a(a(filter, f), nil) -> nil
a(a(filter, f), a(a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs))
a(a(a(if, true), x), xs) -> a(a(cons, x), xs)
a(a(a(if, false), x), xs) -> xs
a(a(not, f), x) -> a(not2, a(f, x))
a(not2, true) -> false
a(not2, false) -> true
a(sieve, nil) -> nil
a(sieve, a(a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs)))
encArg(divides) -> divides
encArg(0') -> 0'
encArg(s) -> s
encArg(true) -> true
encArg(div2) -> div2
encArg(false) -> false
encArg(filter) -> filter
encArg(nil) -> nil
encArg(cons) -> cons
encArg(if) -> if
encArg(not) -> not
encArg(not2) -> not2
encArg(sieve) -> sieve
encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
encode_divides -> divides
encode_0 -> 0'
encode_s -> s
encode_true -> true
encode_div2 -> div2
encode_false -> false
encode_filter -> filter
encode_nil -> nil
encode_cons -> cons
encode_if -> if
encode_not -> not
encode_not2 -> not2
encode_sieve -> sieve

Types:
a :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
divides :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
0' :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
s :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
true :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
div2 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
false :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
filter :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
nil :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
cons :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
if :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
not :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
not2 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
sieve :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encArg :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
cons_a :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_a :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_divides :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_0 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_s :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_true :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_div2 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_false :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_filter :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_nil :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_cons :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_if :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_not :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_not2 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_sieve :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
hole_divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a1_3 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
gen_divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a2_3 :: Nat -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a

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

(9) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
a, encArg

They will be analysed ascendingly in the following order:
a < encArg

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

(10)
Obligation:
Innermost TRS:
Rules:
a(a(divides, 0'), a(s, y)) -> true
a(a(divides, a(s, x)), a(s, y)) -> a(a(a(div2, x), a(s, y)), y)
a(a(a(div2, x), y), 0') -> a(a(divides, x), y)
a(a(a(div2, 0'), y), a(s, z)) -> false
a(a(a(div2, a(s, x)), y), a(s, z)) -> a(a(a(div2, x), y), z)
a(a(filter, f), nil) -> nil
a(a(filter, f), a(a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs))
a(a(a(if, true), x), xs) -> a(a(cons, x), xs)
a(a(a(if, false), x), xs) -> xs
a(a(not, f), x) -> a(not2, a(f, x))
a(not2, true) -> false
a(not2, false) -> true
a(sieve, nil) -> nil
a(sieve, a(a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs)))
encArg(divides) -> divides
encArg(0') -> 0'
encArg(s) -> s
encArg(true) -> true
encArg(div2) -> div2
encArg(false) -> false
encArg(filter) -> filter
encArg(nil) -> nil
encArg(cons) -> cons
encArg(if) -> if
encArg(not) -> not
encArg(not2) -> not2
encArg(sieve) -> sieve
encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
encode_divides -> divides
encode_0 -> 0'
encode_s -> s
encode_true -> true
encode_div2 -> div2
encode_false -> false
encode_filter -> filter
encode_nil -> nil
encode_cons -> cons
encode_if -> if
encode_not -> not
encode_not2 -> not2
encode_sieve -> sieve

Types:
a :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
divides :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
0' :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
s :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
true :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
div2 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
false :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
filter :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
nil :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
cons :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
if :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
not :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
not2 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
sieve :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encArg :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
cons_a :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_a :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_divides :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_0 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_s :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_true :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_div2 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_false :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_filter :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_nil :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_cons :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_if :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_not :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_not2 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
encode_sieve :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
hole_divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a1_3 :: divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a
gen_divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a2_3 :: Nat -> divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a


Generator Equations:
gen_divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a2_3(0) <=> divides
gen_divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a2_3(+(x, 1)) <=> cons_a(divides, gen_divides:0':s:true:div2:false:filter:nil:cons:if:not:not2:sieve:cons_a2_3(x))


The following defined symbols remain to be analysed:
a, encArg

They will be analysed ascendingly in the following order:
a < encArg

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

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

(12)
Obligation:
Analyzing the following TRS for decreasing loops:

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


The TRS R consists of the following rules:

   a(a(divides, 0), a(s, y)) -> true
   a(a(divides, a(s, x)), a(s, y)) -> a(a(a(div2, x), a(s, y)), y)
   a(a(a(div2, x), y), 0) -> a(a(divides, x), y)
   a(a(a(div2, 0), y), a(s, z)) -> false
   a(a(a(div2, a(s, x)), y), a(s, z)) -> a(a(a(div2, x), y), z)
   a(a(filter, f), nil) -> nil
   a(a(filter, f), a(a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs))
   a(a(a(if, true), x), xs) -> a(a(cons, x), xs)
   a(a(a(if, false), x), xs) -> xs
   a(a(not, f), x) -> a(not2, a(f, x))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs)))

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

   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve

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

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

(14)
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(a(divides, 0), a(s, y)) -> true
   a(a(divides, a(s, x)), a(s, y)) -> a(a(a(div2, x), a(s, y)), y)
   a(a(a(div2, x), y), 0) -> a(a(divides, x), y)
   a(a(a(div2, 0), y), a(s, z)) -> false
   a(a(a(div2, a(s, x)), y), a(s, z)) -> a(a(a(div2, x), y), z)
   a(a(filter, f), nil) -> nil
   a(a(filter, f), a(a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs))
   a(a(a(if, true), x), xs) -> a(a(cons, x), xs)
   a(a(a(if, false), x), xs) -> xs
   a(a(not, f), x) -> a(not2, a(f, x))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs)))
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve

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

(15) NonCtorToCtorProof (UPPER BOUND(ID))
transformed non-ctor to ctor-system
----------------------------------------

(16)
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(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(c_a(filter, f), c_a(c_a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs))
   a(c_a(divides, c_a(s, x)), c_a(s, y)) -> a(a(a(div2, x), a(s, y)), y)
   a(sieve, c_a(c_a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs)))
   a(c_a(c_a(div2, x), y), 0) -> a(a(divides, x), y)
   a(c_a(not, f), x) -> a(not2, a(f, x))
   a(c_a(c_a(if, true), x), xs) -> a(a(cons, x), xs)
   a(c_a(filter, f), nil) -> nil
   a(c_a(c_a(if, false), x), xs) -> xs
   a(c_a(divides, 0), c_a(s, y)) -> true
   a(c_a(c_a(div2, 0), y), c_a(s, z)) -> false
   a(c_a(c_a(div2, c_a(s, x)), y), c_a(s, z)) -> a(a(a(div2, x), y), z)

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

   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve
   a(x0, x1) -> c_a(x0, x1)

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

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

(18)
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(not2, true) -> false [1]
   a(not2, false) -> true [1]
   a(sieve, nil) -> nil [1]
   a(c_a(filter, f), c_a(c_a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs)) [1]
   a(c_a(divides, c_a(s, x)), c_a(s, y)) -> a(a(a(div2, x), a(s, y)), y) [1]
   a(sieve, c_a(c_a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs))) [1]
   a(c_a(c_a(div2, x), y), 0) -> a(a(divides, x), y) [1]
   a(c_a(not, f), x) -> a(not2, a(f, x)) [1]
   a(c_a(c_a(if, true), x), xs) -> a(a(cons, x), xs) [1]
   a(c_a(filter, f), nil) -> nil [1]
   a(c_a(c_a(if, false), x), xs) -> xs [1]
   a(c_a(divides, 0), c_a(s, y)) -> true [1]
   a(c_a(c_a(div2, 0), y), c_a(s, z)) -> false [1]
   a(c_a(c_a(div2, c_a(s, x)), y), c_a(s, z)) -> a(a(a(div2, x), y), z) [1]
   encArg(divides) -> divides [0]
   encArg(0) -> 0 [0]
   encArg(s) -> s [0]
   encArg(true) -> true [0]
   encArg(div2) -> div2 [0]
   encArg(false) -> false [0]
   encArg(filter) -> filter [0]
   encArg(nil) -> nil [0]
   encArg(cons) -> cons [0]
   encArg(if) -> if [0]
   encArg(not) -> not [0]
   encArg(not2) -> not2 [0]
   encArg(sieve) -> sieve [0]
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_divides -> divides [0]
   encode_0 -> 0 [0]
   encode_s -> s [0]
   encode_true -> true [0]
   encode_div2 -> div2 [0]
   encode_false -> false [0]
   encode_filter -> filter [0]
   encode_nil -> nil [0]
   encode_cons -> cons [0]
   encode_if -> if [0]
   encode_not -> not [0]
   encode_not2 -> not2 [0]
   encode_sieve -> sieve [0]
   a(x0, x1) -> c_a(x0, x1) [0]

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

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

(20)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   a(not2, true) -> false [1]
   a(not2, false) -> true [1]
   a(sieve, nil) -> nil [1]
   a(c_a(filter, f), c_a(c_a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs)) [1]
   a(c_a(divides, c_a(s, x)), c_a(s, y)) -> a(a(a(div2, x), a(s, y)), y) [1]
   a(sieve, c_a(c_a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs))) [1]
   a(c_a(c_a(div2, x), y), 0) -> a(a(divides, x), y) [1]
   a(c_a(not, f), x) -> a(not2, a(f, x)) [1]
   a(c_a(c_a(if, true), x), xs) -> a(a(cons, x), xs) [1]
   a(c_a(filter, f), nil) -> nil [1]
   a(c_a(c_a(if, false), x), xs) -> xs [1]
   a(c_a(divides, 0), c_a(s, y)) -> true [1]
   a(c_a(c_a(div2, 0), y), c_a(s, z)) -> false [1]
   a(c_a(c_a(div2, c_a(s, x)), y), c_a(s, z)) -> a(a(a(div2, x), y), z) [1]
   encArg(divides) -> divides [0]
   encArg(0) -> 0 [0]
   encArg(s) -> s [0]
   encArg(true) -> true [0]
   encArg(div2) -> div2 [0]
   encArg(false) -> false [0]
   encArg(filter) -> filter [0]
   encArg(nil) -> nil [0]
   encArg(cons) -> cons [0]
   encArg(if) -> if [0]
   encArg(not) -> not [0]
   encArg(not2) -> not2 [0]
   encArg(sieve) -> sieve [0]
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_divides -> divides [0]
   encode_0 -> 0 [0]
   encode_s -> s [0]
   encode_true -> true [0]
   encode_div2 -> div2 [0]
   encode_false -> false [0]
   encode_filter -> filter [0]
   encode_nil -> nil [0]
   encode_cons -> cons [0]
   encode_if -> if [0]
   encode_not -> not [0]
   encode_not2 -> not2 [0]
   encode_sieve -> sieve [0]
   a(x0, x1) -> c_a(x0, x1) [0]

The TRS has the following type information:
a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
not2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
true :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
false :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
sieve :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
nil :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
c_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
filter :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
cons :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
if :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
divides :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
s :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
div2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
not :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
0 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encArg :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
cons_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_divides :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_0 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_s :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_true :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_div2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_false :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_filter :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_nil :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_cons :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_if :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_not :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_not2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a
encode_sieve :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a

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

(21) 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:

   encArg_1
   encode_a_2
   encode_divides
   encode_0
   encode_s
   encode_true
   encode_div2
   encode_false
   encode_filter
   encode_nil
   encode_cons
   encode_if
   encode_not
   encode_not2
   encode_sieve
   a_2

Due to the following rules being added:

   encArg(v0) -> null_encArg [0]
   encode_a(v0, v1) -> null_encode_a [0]
   encode_divides -> null_encode_divides [0]
   encode_0 -> null_encode_0 [0]
   encode_s -> null_encode_s [0]
   encode_true -> null_encode_true [0]
   encode_div2 -> null_encode_div2 [0]
   encode_false -> null_encode_false [0]
   encode_filter -> null_encode_filter [0]
   encode_nil -> null_encode_nil [0]
   encode_cons -> null_encode_cons [0]
   encode_if -> null_encode_if [0]
   encode_not -> null_encode_not [0]
   encode_not2 -> null_encode_not2 [0]
   encode_sieve -> null_encode_sieve [0]
   a(v0, v1) -> null_a [0]

And the following fresh constants:    null_encArg, null_encode_a, null_encode_divides, null_encode_0, null_encode_s, null_encode_true, null_encode_div2, null_encode_false, null_encode_filter, null_encode_nil, null_encode_cons, null_encode_if, null_encode_not, null_encode_not2, null_encode_sieve, null_a

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

(22)
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(not2, true) -> false [1]
   a(not2, false) -> true [1]
   a(sieve, nil) -> nil [1]
   a(c_a(filter, f), c_a(c_a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs)) [1]
   a(c_a(divides, c_a(s, x)), c_a(s, y)) -> a(a(a(div2, x), a(s, y)), y) [1]
   a(sieve, c_a(c_a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs))) [1]
   a(c_a(c_a(div2, x), y), 0) -> a(a(divides, x), y) [1]
   a(c_a(not, f), x) -> a(not2, a(f, x)) [1]
   a(c_a(c_a(if, true), x), xs) -> a(a(cons, x), xs) [1]
   a(c_a(filter, f), nil) -> nil [1]
   a(c_a(c_a(if, false), x), xs) -> xs [1]
   a(c_a(divides, 0), c_a(s, y)) -> true [1]
   a(c_a(c_a(div2, 0), y), c_a(s, z)) -> false [1]
   a(c_a(c_a(div2, c_a(s, x)), y), c_a(s, z)) -> a(a(a(div2, x), y), z) [1]
   encArg(divides) -> divides [0]
   encArg(0) -> 0 [0]
   encArg(s) -> s [0]
   encArg(true) -> true [0]
   encArg(div2) -> div2 [0]
   encArg(false) -> false [0]
   encArg(filter) -> filter [0]
   encArg(nil) -> nil [0]
   encArg(cons) -> cons [0]
   encArg(if) -> if [0]
   encArg(not) -> not [0]
   encArg(not2) -> not2 [0]
   encArg(sieve) -> sieve [0]
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_divides -> divides [0]
   encode_0 -> 0 [0]
   encode_s -> s [0]
   encode_true -> true [0]
   encode_div2 -> div2 [0]
   encode_false -> false [0]
   encode_filter -> filter [0]
   encode_nil -> nil [0]
   encode_cons -> cons [0]
   encode_if -> if [0]
   encode_not -> not [0]
   encode_not2 -> not2 [0]
   encode_sieve -> sieve [0]
   a(x0, x1) -> c_a(x0, x1) [0]
   encArg(v0) -> null_encArg [0]
   encode_a(v0, v1) -> null_encode_a [0]
   encode_divides -> null_encode_divides [0]
   encode_0 -> null_encode_0 [0]
   encode_s -> null_encode_s [0]
   encode_true -> null_encode_true [0]
   encode_div2 -> null_encode_div2 [0]
   encode_false -> null_encode_false [0]
   encode_filter -> null_encode_filter [0]
   encode_nil -> null_encode_nil [0]
   encode_cons -> null_encode_cons [0]
   encode_if -> null_encode_if [0]
   encode_not -> null_encode_not [0]
   encode_not2 -> null_encode_not2 [0]
   encode_sieve -> null_encode_sieve [0]
   a(v0, v1) -> null_a [0]

The TRS has the following type information:
a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
not2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
true :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
false :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
sieve :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
nil :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
c_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
filter :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
cons :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
if :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
divides :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
s :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
div2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
not :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
0 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encArg :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
cons_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_divides :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_0 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_s :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_true :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_div2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_false :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_filter :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_nil :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_cons :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_if :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_not :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_not2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_sieve :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encArg :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_divides :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_0 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_s :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_true :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_div2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_false :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_filter :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_nil :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_cons :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_if :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_not :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_not2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_sieve :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a

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

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

(24)
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(not2, true) -> false [1]
   a(not2, false) -> true [1]
   a(sieve, nil) -> nil [1]
   a(c_a(filter, f), c_a(c_a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs)) [1]
   a(c_a(divides, c_a(s, x)), c_a(s, y)) -> a(a(c_a(div2, x), c_a(s, y)), y) [1]
   a(c_a(divides, c_a(s, x)), c_a(s, y)) -> a(a(c_a(div2, x), null_a), y) [1]
   a(c_a(divides, c_a(s, x)), c_a(s, y)) -> a(a(null_a, c_a(s, y)), y) [1]
   a(c_a(divides, c_a(s, x)), c_a(s, y)) -> a(a(null_a, null_a), y) [1]
   a(sieve, c_a(c_a(cons, x), xs)) -> a(c_a(cons, x), a(sieve, a(a(filter, a(not, c_a(divides, x))), xs))) [1]
   a(sieve, c_a(c_a(cons, x), xs)) -> a(c_a(cons, x), a(sieve, a(a(filter, a(not, null_a)), xs))) [1]
   a(sieve, c_a(c_a(cons, x), xs)) -> a(null_a, a(sieve, a(a(filter, a(not, c_a(divides, x))), xs))) [1]
   a(sieve, c_a(c_a(cons, x), xs)) -> a(null_a, a(sieve, a(a(filter, a(not, null_a)), xs))) [1]
   a(c_a(c_a(div2, x), y), 0) -> a(c_a(divides, x), y) [1]
   a(c_a(c_a(div2, x), y), 0) -> a(null_a, y) [1]
   a(c_a(not, not2), true) -> a(not2, false) [2]
   a(c_a(not, not2), false) -> a(not2, true) [2]
   a(c_a(not, sieve), nil) -> a(not2, nil) [2]
   a(c_a(not, c_a(filter, f2)), c_a(c_a(cons, x7), xs1)) -> a(not2, a(a(a(if, a(f2, x7)), x7), a(a(filter, f2), xs1))) [2]
   a(c_a(not, c_a(divides, c_a(s, x8))), c_a(s, y4)) -> a(not2, a(a(a(div2, x8), a(s, y4)), y4)) [2]
   a(c_a(not, sieve), c_a(c_a(cons, x9), xs2)) -> a(not2, a(a(cons, x9), a(sieve, a(a(filter, a(not, a(divides, x9))), xs2)))) [2]
   a(c_a(not, c_a(c_a(div2, x10), y5)), 0) -> a(not2, a(a(divides, x10), y5)) [2]
   a(c_a(not, c_a(not, f3)), x) -> a(not2, a(not2, a(f3, x))) [2]
   a(c_a(not, c_a(c_a(if, true), x11)), x) -> a(not2, a(a(cons, x11), x)) [2]
   a(c_a(not, c_a(filter, f4)), nil) -> a(not2, nil) [2]
   a(c_a(not, c_a(c_a(if, false), x12)), x) -> a(not2, x) [2]
   a(c_a(not, c_a(divides, 0)), c_a(s, y6)) -> a(not2, true) [2]
   a(c_a(not, c_a(c_a(div2, 0), y7)), c_a(s, z1)) -> a(not2, false) [2]
   a(c_a(not, c_a(c_a(div2, c_a(s, x13)), y8)), c_a(s, z2)) -> a(not2, a(a(a(div2, x13), y8), z2)) [2]
   a(c_a(not, f), x) -> a(not2, c_a(f, x)) [1]
   a(c_a(not, f), x) -> a(not2, null_a) [1]
   a(c_a(c_a(if, true), x), xs) -> a(c_a(cons, x), xs) [1]
   a(c_a(c_a(if, true), x), xs) -> a(null_a, xs) [1]
   a(c_a(filter, f), nil) -> nil [1]
   a(c_a(c_a(if, false), x), xs) -> xs [1]
   a(c_a(divides, 0), c_a(s, y)) -> true [1]
   a(c_a(c_a(div2, 0), y), c_a(s, z)) -> false [1]
   a(c_a(c_a(div2, c_a(s, x)), y), c_a(s, z)) -> a(a(c_a(div2, x), y), z) [1]
   a(c_a(c_a(div2, c_a(s, x)), y), c_a(s, z)) -> a(a(null_a, y), z) [1]
   encArg(divides) -> divides [0]
   encArg(0) -> 0 [0]
   encArg(s) -> s [0]
   encArg(true) -> true [0]
   encArg(div2) -> div2 [0]
   encArg(false) -> false [0]
   encArg(filter) -> filter [0]
   encArg(nil) -> nil [0]
   encArg(cons) -> cons [0]
   encArg(if) -> if [0]
   encArg(not) -> not [0]
   encArg(not2) -> not2 [0]
   encArg(sieve) -> sieve [0]
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_divides -> divides [0]
   encode_0 -> 0 [0]
   encode_s -> s [0]
   encode_true -> true [0]
   encode_div2 -> div2 [0]
   encode_false -> false [0]
   encode_filter -> filter [0]
   encode_nil -> nil [0]
   encode_cons -> cons [0]
   encode_if -> if [0]
   encode_not -> not [0]
   encode_not2 -> not2 [0]
   encode_sieve -> sieve [0]
   a(x0, x1) -> c_a(x0, x1) [0]
   encArg(v0) -> null_encArg [0]
   encode_a(v0, v1) -> null_encode_a [0]
   encode_divides -> null_encode_divides [0]
   encode_0 -> null_encode_0 [0]
   encode_s -> null_encode_s [0]
   encode_true -> null_encode_true [0]
   encode_div2 -> null_encode_div2 [0]
   encode_false -> null_encode_false [0]
   encode_filter -> null_encode_filter [0]
   encode_nil -> null_encode_nil [0]
   encode_cons -> null_encode_cons [0]
   encode_if -> null_encode_if [0]
   encode_not -> null_encode_not [0]
   encode_not2 -> null_encode_not2 [0]
   encode_sieve -> null_encode_sieve [0]
   a(v0, v1) -> null_a [0]

The TRS has the following type information:
a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
not2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
true :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
false :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
sieve :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
nil :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
c_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
filter :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
cons :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
if :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
divides :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
s :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
div2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
not :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
0 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encArg :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
cons_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_divides :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_0 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_s :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_true :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_div2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_false :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_filter :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_nil :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_cons :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_if :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_not :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_not2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_sieve :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encArg :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_divides :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_0 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_s :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_true :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_div2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_false :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_filter :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_nil :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_cons :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_if :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_not :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_not2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_sieve :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a

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

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

   not2 => 9
   true => 12
   false => 4
   sieve => 11
   nil => 7
   filter => 5
   cons => 1
   if => 6
   divides => 3
   s => 10
   div2 => 2
   not => 8
   0 => 0
   null_encArg => 0
   null_encode_a => 0
   null_encode_divides => 0
   null_encode_0 => 0
   null_encode_s => 0
   null_encode_true => 0
   null_encode_div2 => 0
   null_encode_false => 0
   null_encode_filter => 0
   null_encode_nil => 0
   null_encode_cons => 0
   null_encode_if => 0
   null_encode_not => 0
   null_encode_not2 => 0
   null_encode_sieve => 0
   null_a => 0

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

(26)
Obligation:
Complexity RNTS consisting of the following rules:

   a(z', z'') -{ 1 }-> xs :|: xs >= 0, x >= 0, z'' = xs, z' = 1 + (1 + 6 + 4) + x
   a(z', z'') -{ 1 }-> a(a(a(6, a(f, x)), x), a(a(5, f), xs)) :|: f >= 0, xs >= 0, x >= 0, z' = 1 + 5 + f, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> a(a(0, y), z) :|: z >= 0, x >= 0, y >= 0, z' = 1 + (1 + 2 + (1 + 10 + x)) + y, z'' = 1 + 10 + z
   a(z', z'') -{ 1 }-> a(a(0, 0), y) :|: x >= 0, y >= 0, z' = 1 + 3 + (1 + 10 + x), z'' = 1 + 10 + y
   a(z', z'') -{ 1 }-> a(a(0, 1 + 10 + y), y) :|: x >= 0, y >= 0, z' = 1 + 3 + (1 + 10 + x), z'' = 1 + 10 + y
   a(z', z'') -{ 1 }-> a(a(1 + 2 + x, y), z) :|: z >= 0, x >= 0, y >= 0, z' = 1 + (1 + 2 + (1 + 10 + x)) + y, z'' = 1 + 10 + z
   a(z', z'') -{ 1 }-> a(a(1 + 2 + x, 0), y) :|: x >= 0, y >= 0, z' = 1 + 3 + (1 + 10 + x), z'' = 1 + 10 + y
   a(z', z'') -{ 1 }-> a(a(1 + 2 + x, 1 + 10 + y), y) :|: x >= 0, y >= 0, z' = 1 + 3 + (1 + 10 + x), z'' = 1 + 10 + y
   a(z', z'') -{ 2 }-> a(9, x) :|: x >= 0, z' = 1 + 8 + (1 + (1 + 6 + 4) + x12), x12 >= 0, z'' = x
   a(z', z'') -{ 2 }-> a(9, a(a(a(6, a(f2, x7)), x7), a(a(5, f2), xs1))) :|: z'' = 1 + (1 + 1 + x7) + xs1, z' = 1 + 8 + (1 + 5 + f2), x7 >= 0, f2 >= 0, xs1 >= 0
   a(z', z'') -{ 2 }-> a(9, a(a(a(2, x13), y8), z2)) :|: x13 >= 0, z' = 1 + 8 + (1 + (1 + 2 + (1 + 10 + x13)) + y8), y8 >= 0, z2 >= 0, z'' = 1 + 10 + z2
   a(z', z'') -{ 2 }-> a(9, a(a(a(2, x8), a(10, y4)), y4)) :|: x8 >= 0, z' = 1 + 8 + (1 + 3 + (1 + 10 + x8)), z'' = 1 + 10 + y4, y4 >= 0
   a(z', z'') -{ 2 }-> a(9, a(a(3, x10), y5)) :|: z'' = 0, y5 >= 0, x10 >= 0, z' = 1 + 8 + (1 + (1 + 2 + x10) + y5)
   a(z', z'') -{ 2 }-> a(9, a(a(1, x11), x)) :|: x >= 0, z'' = x, x11 >= 0, z' = 1 + 8 + (1 + (1 + 6 + 12) + x11)
   a(z', z'') -{ 2 }-> a(9, a(a(1, x9), a(11, a(a(5, a(8, a(3, x9))), xs2)))) :|: z'' = 1 + (1 + 1 + x9) + xs2, xs2 >= 0, x9 >= 0, z' = 1 + 8 + 11
   a(z', z'') -{ 2 }-> a(9, a(9, a(f3, x))) :|: x >= 0, z'' = x, z' = 1 + 8 + (1 + 8 + f3), f3 >= 0
   a(z', z'') -{ 2 }-> a(9, 7) :|: z'' = 7, z' = 1 + 8 + 11
   a(z', z'') -{ 2 }-> a(9, 7) :|: z'' = 7, f4 >= 0, z' = 1 + 8 + (1 + 5 + f4)
   a(z', z'') -{ 2 }-> a(9, 4) :|: z' = 1 + 8 + 9, z'' = 12
   a(z', z'') -{ 2 }-> a(9, 4) :|: z1 >= 0, z' = 1 + 8 + (1 + (1 + 2 + 0) + y7), y7 >= 0, z'' = 1 + 10 + z1
   a(z', z'') -{ 2 }-> a(9, 12) :|: z' = 1 + 8 + 9, z'' = 4
   a(z', z'') -{ 2 }-> a(9, 12) :|: y6 >= 0, z' = 1 + 8 + (1 + 3 + 0), z'' = 1 + 10 + y6
   a(z', z'') -{ 1 }-> a(9, 0) :|: f >= 0, z' = 1 + 8 + f, x >= 0, z'' = x
   a(z', z'') -{ 1 }-> a(9, 1 + f + x) :|: f >= 0, z' = 1 + 8 + f, x >= 0, z'' = x
   a(z', z'') -{ 1 }-> a(0, xs) :|: xs >= 0, x >= 0, z'' = xs, z' = 1 + (1 + 6 + 12) + x
   a(z', z'') -{ 1 }-> a(0, y) :|: z'' = 0, x >= 0, y >= 0, z' = 1 + (1 + 2 + x) + y
   a(z', z'') -{ 1 }-> a(0, a(11, a(a(5, a(8, 0)), xs))) :|: xs >= 0, z' = 11, x >= 0, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> a(0, a(11, a(a(5, a(8, 1 + 3 + x)), xs))) :|: xs >= 0, z' = 11, x >= 0, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> a(1 + 3 + x, y) :|: z'' = 0, x >= 0, y >= 0, z' = 1 + (1 + 2 + x) + y
   a(z', z'') -{ 1 }-> a(1 + 1 + x, xs) :|: xs >= 0, x >= 0, z'' = xs, z' = 1 + (1 + 6 + 12) + x
   a(z', z'') -{ 1 }-> a(1 + 1 + x, a(11, a(a(5, a(8, 0)), xs))) :|: xs >= 0, z' = 11, x >= 0, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> a(1 + 1 + x, a(11, a(a(5, a(8, 1 + 3 + x)), xs))) :|: xs >= 0, z' = 11, x >= 0, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> 7 :|: z'' = 7, z' = 11
   a(z', z'') -{ 1 }-> 7 :|: f >= 0, z'' = 7, z' = 1 + 5 + f
   a(z', z'') -{ 1 }-> 4 :|: z'' = 12, z' = 9
   a(z', z'') -{ 1 }-> 4 :|: z' = 1 + (1 + 2 + 0) + y, z >= 0, y >= 0, z'' = 1 + 10 + z
   a(z', z'') -{ 1 }-> 12 :|: z'' = 4, z' = 9
   a(z', z'') -{ 1 }-> 12 :|: y >= 0, z' = 1 + 3 + 0, z'' = 1 + 10 + y
   a(z', z'') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z'' = v1, z' = v0
   a(z', z'') -{ 0 }-> 1 + x0 + x1 :|: z'' = x1, x0 >= 0, x1 >= 0, z' = x0
   encArg(z') -{ 0 }-> a(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z' = 1 + x_1 + x_2
   encArg(z') -{ 0 }-> 9 :|: z' = 9
   encArg(z') -{ 0 }-> 8 :|: z' = 8
   encArg(z') -{ 0 }-> 7 :|: z' = 7
   encArg(z') -{ 0 }-> 6 :|: z' = 6
   encArg(z') -{ 0 }-> 5 :|: z' = 5
   encArg(z') -{ 0 }-> 4 :|: z' = 4
   encArg(z') -{ 0 }-> 3 :|: z' = 3
   encArg(z') -{ 0 }-> 2 :|: z' = 2
   encArg(z') -{ 0 }-> 12 :|: z' = 12
   encArg(z') -{ 0 }-> 11 :|: z' = 11
   encArg(z') -{ 0 }-> 10 :|: z' = 10
   encArg(z') -{ 0 }-> 1 :|: z' = 1
   encArg(z') -{ 0 }-> 0 :|: z' = 0
   encArg(z') -{ 0 }-> 0 :|: v0 >= 0, z' = v0
   encode_0 -{ 0 }-> 0 :|: 
   encode_a(z', z'') -{ 0 }-> a(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z' = x_1, x_2 >= 0, z'' = x_2
   encode_a(z', z'') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z'' = v1, z' = v0
   encode_cons -{ 0 }-> 1 :|: 
   encode_cons -{ 0 }-> 0 :|: 
   encode_div2 -{ 0 }-> 2 :|: 
   encode_div2 -{ 0 }-> 0 :|: 
   encode_divides -{ 0 }-> 3 :|: 
   encode_divides -{ 0 }-> 0 :|: 
   encode_false -{ 0 }-> 4 :|: 
   encode_false -{ 0 }-> 0 :|: 
   encode_filter -{ 0 }-> 5 :|: 
   encode_filter -{ 0 }-> 0 :|: 
   encode_if -{ 0 }-> 6 :|: 
   encode_if -{ 0 }-> 0 :|: 
   encode_nil -{ 0 }-> 7 :|: 
   encode_nil -{ 0 }-> 0 :|: 
   encode_not -{ 0 }-> 8 :|: 
   encode_not -{ 0 }-> 0 :|: 
   encode_not2 -{ 0 }-> 9 :|: 
   encode_not2 -{ 0 }-> 0 :|: 
   encode_s -{ 0 }-> 10 :|: 
   encode_s -{ 0 }-> 0 :|: 
   encode_sieve -{ 0 }-> 11 :|: 
   encode_sieve -{ 0 }-> 0 :|: 
   encode_true -{ 0 }-> 12 :|: 
   encode_true -{ 0 }-> 0 :|: 


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

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

(28)
Obligation:
Complexity RNTS consisting of the following rules:

   a(z', z'') -{ 1 }-> z'' :|: z'' >= 0, z' - 12 >= 0
   a(z', z'') -{ 1 }-> a(a(a(6, a(z' - 6, x)), x), a(a(5, z' - 6), xs)) :|: z' - 6 >= 0, xs >= 0, x >= 0, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> a(a(0, y), z'' - 11) :|: z'' - 11 >= 0, x >= 0, y >= 0, z' = 1 + (1 + 2 + (1 + 10 + x)) + y
   a(z', z'') -{ 1 }-> a(a(0, 0), z'' - 11) :|: z' - 15 >= 0, z'' - 11 >= 0
   a(z', z'') -{ 1 }-> a(a(0, 1 + 10 + (z'' - 11)), z'' - 11) :|: z' - 15 >= 0, z'' - 11 >= 0
   a(z', z'') -{ 1 }-> a(a(1 + 2 + x, y), z'' - 11) :|: z'' - 11 >= 0, x >= 0, y >= 0, z' = 1 + (1 + 2 + (1 + 10 + x)) + y
   a(z', z'') -{ 1 }-> a(a(1 + 2 + (z' - 15), 0), z'' - 11) :|: z' - 15 >= 0, z'' - 11 >= 0
   a(z', z'') -{ 1 }-> a(a(1 + 2 + (z' - 15), 1 + 10 + (z'' - 11)), z'' - 11) :|: z' - 15 >= 0, z'' - 11 >= 0
   a(z', z'') -{ 2 }-> a(9, z'') :|: z'' >= 0, z' - 21 >= 0
   a(z', z'') -{ 2 }-> a(9, a(a(a(6, a(z' - 15, x7)), x7), a(a(5, z' - 15), xs1))) :|: z'' = 1 + (1 + 1 + x7) + xs1, x7 >= 0, z' - 15 >= 0, xs1 >= 0
   a(z', z'') -{ 2 }-> a(9, a(a(a(2, x13), y8), z'' - 11)) :|: x13 >= 0, z' = 1 + 8 + (1 + (1 + 2 + (1 + 10 + x13)) + y8), y8 >= 0, z'' - 11 >= 0
   a(z', z'') -{ 2 }-> a(9, a(a(a(2, z' - 24), a(10, z'' - 11)), z'' - 11)) :|: z' - 24 >= 0, z'' - 11 >= 0
   a(z', z'') -{ 2 }-> a(9, a(a(3, x10), y5)) :|: z'' = 0, y5 >= 0, x10 >= 0, z' = 1 + 8 + (1 + (1 + 2 + x10) + y5)
   a(z', z'') -{ 2 }-> a(9, a(a(1, x9), a(11, a(a(5, a(8, a(3, x9))), xs2)))) :|: z'' = 1 + (1 + 1 + x9) + xs2, xs2 >= 0, x9 >= 0, z' = 1 + 8 + 11
   a(z', z'') -{ 2 }-> a(9, a(a(1, z' - 29), z'')) :|: z'' >= 0, z' - 29 >= 0
   a(z', z'') -{ 2 }-> a(9, a(9, a(z' - 18, z''))) :|: z'' >= 0, z' - 18 >= 0
   a(z', z'') -{ 2 }-> a(9, 7) :|: z'' = 7, z' = 1 + 8 + 11
   a(z', z'') -{ 2 }-> a(9, 7) :|: z'' = 7, z' - 15 >= 0
   a(z', z'') -{ 2 }-> a(9, 4) :|: z' = 1 + 8 + 9, z'' = 12
   a(z', z'') -{ 2 }-> a(9, 4) :|: z'' - 11 >= 0, z' - 13 >= 0
   a(z', z'') -{ 2 }-> a(9, 12) :|: z' = 1 + 8 + 9, z'' = 4
   a(z', z'') -{ 2 }-> a(9, 12) :|: z'' - 11 >= 0, z' = 1 + 8 + (1 + 3 + 0)
   a(z', z'') -{ 1 }-> a(9, 0) :|: z' - 9 >= 0, z'' >= 0
   a(z', z'') -{ 1 }-> a(9, 1 + (z' - 9) + z'') :|: z' - 9 >= 0, z'' >= 0
   a(z', z'') -{ 1 }-> a(0, y) :|: z'' = 0, x >= 0, y >= 0, z' = 1 + (1 + 2 + x) + y
   a(z', z'') -{ 1 }-> a(0, z'') :|: z'' >= 0, z' - 20 >= 0
   a(z', z'') -{ 1 }-> a(0, a(11, a(a(5, a(8, 0)), xs))) :|: xs >= 0, z' = 11, x >= 0, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> a(0, a(11, a(a(5, a(8, 1 + 3 + x)), xs))) :|: xs >= 0, z' = 11, x >= 0, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> a(1 + 3 + x, y) :|: z'' = 0, x >= 0, y >= 0, z' = 1 + (1 + 2 + x) + y
   a(z', z'') -{ 1 }-> a(1 + 1 + x, a(11, a(a(5, a(8, 0)), xs))) :|: xs >= 0, z' = 11, x >= 0, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> a(1 + 1 + x, a(11, a(a(5, a(8, 1 + 3 + x)), xs))) :|: xs >= 0, z' = 11, x >= 0, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> a(1 + 1 + (z' - 20), z'') :|: z'' >= 0, z' - 20 >= 0
   a(z', z'') -{ 1 }-> 7 :|: z'' = 7, z' = 11
   a(z', z'') -{ 1 }-> 7 :|: z' - 6 >= 0, z'' = 7
   a(z', z'') -{ 1 }-> 4 :|: z'' = 12, z' = 9
   a(z', z'') -{ 1 }-> 4 :|: z'' - 11 >= 0, z' - 4 >= 0
   a(z', z'') -{ 1 }-> 12 :|: z'' = 4, z' = 9
   a(z', z'') -{ 1 }-> 12 :|: z'' - 11 >= 0, z' = 1 + 3 + 0
   a(z', z'') -{ 0 }-> 0 :|: z' >= 0, z'' >= 0
   a(z', z'') -{ 0 }-> 1 + z' + z'' :|: z' >= 0, z'' >= 0
   encArg(z') -{ 0 }-> a(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z' = 1 + x_1 + x_2
   encArg(z') -{ 0 }-> 9 :|: z' = 9
   encArg(z') -{ 0 }-> 8 :|: z' = 8
   encArg(z') -{ 0 }-> 7 :|: z' = 7
   encArg(z') -{ 0 }-> 6 :|: z' = 6
   encArg(z') -{ 0 }-> 5 :|: z' = 5
   encArg(z') -{ 0 }-> 4 :|: z' = 4
   encArg(z') -{ 0 }-> 3 :|: z' = 3
   encArg(z') -{ 0 }-> 2 :|: z' = 2
   encArg(z') -{ 0 }-> 12 :|: z' = 12
   encArg(z') -{ 0 }-> 11 :|: z' = 11
   encArg(z') -{ 0 }-> 10 :|: z' = 10
   encArg(z') -{ 0 }-> 1 :|: z' = 1
   encArg(z') -{ 0 }-> 0 :|: z' = 0
   encArg(z') -{ 0 }-> 0 :|: z' >= 0
   encode_0 -{ 0 }-> 0 :|: 
   encode_a(z', z'') -{ 0 }-> a(encArg(z'), encArg(z'')) :|: z' >= 0, z'' >= 0
   encode_a(z', z'') -{ 0 }-> 0 :|: z' >= 0, z'' >= 0
   encode_cons -{ 0 }-> 1 :|: 
   encode_cons -{ 0 }-> 0 :|: 
   encode_div2 -{ 0 }-> 2 :|: 
   encode_div2 -{ 0 }-> 0 :|: 
   encode_divides -{ 0 }-> 3 :|: 
   encode_divides -{ 0 }-> 0 :|: 
   encode_false -{ 0 }-> 4 :|: 
   encode_false -{ 0 }-> 0 :|: 
   encode_filter -{ 0 }-> 5 :|: 
   encode_filter -{ 0 }-> 0 :|: 
   encode_if -{ 0 }-> 6 :|: 
   encode_if -{ 0 }-> 0 :|: 
   encode_nil -{ 0 }-> 7 :|: 
   encode_nil -{ 0 }-> 0 :|: 
   encode_not -{ 0 }-> 8 :|: 
   encode_not -{ 0 }-> 0 :|: 
   encode_not2 -{ 0 }-> 9 :|: 
   encode_not2 -{ 0 }-> 0 :|: 
   encode_s -{ 0 }-> 10 :|: 
   encode_s -{ 0 }-> 0 :|: 
   encode_sieve -{ 0 }-> 11 :|: 
   encode_sieve -{ 0 }-> 0 :|: 
   encode_true -{ 0 }-> 12 :|: 
   encode_true -{ 0 }-> 0 :|: 


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

(29) 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:

   encArg(v0) -> null_encArg [0]
   encode_a(v0, v1) -> null_encode_a [0]
   encode_divides -> null_encode_divides [0]
   encode_0 -> null_encode_0 [0]
   encode_s -> null_encode_s [0]
   encode_true -> null_encode_true [0]
   encode_div2 -> null_encode_div2 [0]
   encode_false -> null_encode_false [0]
   encode_filter -> null_encode_filter [0]
   encode_nil -> null_encode_nil [0]
   encode_cons -> null_encode_cons [0]
   encode_if -> null_encode_if [0]
   encode_not -> null_encode_not [0]
   encode_not2 -> null_encode_not2 [0]
   encode_sieve -> null_encode_sieve [0]
   a(v0, v1) -> null_a [0]

And the following fresh constants:    null_encArg, null_encode_a, null_encode_divides, null_encode_0, null_encode_s, null_encode_true, null_encode_div2, null_encode_false, null_encode_filter, null_encode_nil, null_encode_cons, null_encode_if, null_encode_not, null_encode_not2, null_encode_sieve, null_a

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

(30)
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(not2, true) -> false [1]
   a(not2, false) -> true [1]
   a(sieve, nil) -> nil [1]
   a(c_a(filter, f), c_a(c_a(cons, x), xs)) -> a(a(a(if, a(f, x)), x), a(a(filter, f), xs)) [1]
   a(c_a(divides, c_a(s, x)), c_a(s, y)) -> a(a(a(div2, x), a(s, y)), y) [1]
   a(sieve, c_a(c_a(cons, x), xs)) -> a(a(cons, x), a(sieve, a(a(filter, a(not, a(divides, x))), xs))) [1]
   a(c_a(c_a(div2, x), y), 0) -> a(a(divides, x), y) [1]
   a(c_a(not, f), x) -> a(not2, a(f, x)) [1]
   a(c_a(c_a(if, true), x), xs) -> a(a(cons, x), xs) [1]
   a(c_a(filter, f), nil) -> nil [1]
   a(c_a(c_a(if, false), x), xs) -> xs [1]
   a(c_a(divides, 0), c_a(s, y)) -> true [1]
   a(c_a(c_a(div2, 0), y), c_a(s, z)) -> false [1]
   a(c_a(c_a(div2, c_a(s, x)), y), c_a(s, z)) -> a(a(a(div2, x), y), z) [1]
   encArg(divides) -> divides [0]
   encArg(0) -> 0 [0]
   encArg(s) -> s [0]
   encArg(true) -> true [0]
   encArg(div2) -> div2 [0]
   encArg(false) -> false [0]
   encArg(filter) -> filter [0]
   encArg(nil) -> nil [0]
   encArg(cons) -> cons [0]
   encArg(if) -> if [0]
   encArg(not) -> not [0]
   encArg(not2) -> not2 [0]
   encArg(sieve) -> sieve [0]
   encArg(cons_a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_divides -> divides [0]
   encode_0 -> 0 [0]
   encode_s -> s [0]
   encode_true -> true [0]
   encode_div2 -> div2 [0]
   encode_false -> false [0]
   encode_filter -> filter [0]
   encode_nil -> nil [0]
   encode_cons -> cons [0]
   encode_if -> if [0]
   encode_not -> not [0]
   encode_not2 -> not2 [0]
   encode_sieve -> sieve [0]
   a(x0, x1) -> c_a(x0, x1) [0]
   encArg(v0) -> null_encArg [0]
   encode_a(v0, v1) -> null_encode_a [0]
   encode_divides -> null_encode_divides [0]
   encode_0 -> null_encode_0 [0]
   encode_s -> null_encode_s [0]
   encode_true -> null_encode_true [0]
   encode_div2 -> null_encode_div2 [0]
   encode_false -> null_encode_false [0]
   encode_filter -> null_encode_filter [0]
   encode_nil -> null_encode_nil [0]
   encode_cons -> null_encode_cons [0]
   encode_if -> null_encode_if [0]
   encode_not -> null_encode_not [0]
   encode_not2 -> null_encode_not2 [0]
   encode_sieve -> null_encode_sieve [0]
   a(v0, v1) -> null_a [0]

The TRS has the following type information:
a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
not2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
true :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
false :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
sieve :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
nil :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
c_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
filter :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
cons :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
if :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
divides :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
s :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
div2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
not :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
0 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encArg :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
cons_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a -> not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_divides :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_0 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_s :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_true :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_div2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_false :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_filter :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_nil :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_cons :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_if :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_not :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_not2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
encode_sieve :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encArg :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_divides :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_0 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_s :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_true :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_div2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_false :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_filter :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_nil :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_cons :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_if :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_not :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_not2 :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_encode_sieve :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a
null_a :: not2:true:false:sieve:nil:filter:c_a:cons:if:divides:s:div2:not:0:cons_a:null_encArg:null_encode_a:null_encode_divides:null_encode_0:null_encode_s:null_encode_true:null_encode_div2:null_encode_false:null_encode_filter:null_encode_nil:null_encode_cons:null_encode_if:null_encode_not:null_encode_not2:null_encode_sieve:null_a

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:

   not2 => 9
   true => 12
   false => 4
   sieve => 11
   nil => 7
   filter => 5
   cons => 1
   if => 6
   divides => 3
   s => 10
   div2 => 2
   not => 8
   0 => 0
   null_encArg => 0
   null_encode_a => 0
   null_encode_divides => 0
   null_encode_0 => 0
   null_encode_s => 0
   null_encode_true => 0
   null_encode_div2 => 0
   null_encode_false => 0
   null_encode_filter => 0
   null_encode_nil => 0
   null_encode_cons => 0
   null_encode_if => 0
   null_encode_not => 0
   null_encode_not2 => 0
   null_encode_sieve => 0
   null_a => 0

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

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

   a(z', z'') -{ 1 }-> xs :|: xs >= 0, x >= 0, z'' = xs, z' = 1 + (1 + 6 + 4) + x
   a(z', z'') -{ 1 }-> a(a(a(6, a(f, x)), x), a(a(5, f), xs)) :|: f >= 0, xs >= 0, x >= 0, z' = 1 + 5 + f, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> a(a(a(2, x), y), z) :|: z >= 0, x >= 0, y >= 0, z' = 1 + (1 + 2 + (1 + 10 + x)) + y, z'' = 1 + 10 + z
   a(z', z'') -{ 1 }-> a(a(a(2, x), a(10, y)), y) :|: x >= 0, y >= 0, z' = 1 + 3 + (1 + 10 + x), z'' = 1 + 10 + y
   a(z', z'') -{ 1 }-> a(a(3, x), y) :|: z'' = 0, x >= 0, y >= 0, z' = 1 + (1 + 2 + x) + y
   a(z', z'') -{ 1 }-> a(a(1, x), xs) :|: xs >= 0, x >= 0, z'' = xs, z' = 1 + (1 + 6 + 12) + x
   a(z', z'') -{ 1 }-> a(a(1, x), a(11, a(a(5, a(8, a(3, x))), xs))) :|: xs >= 0, z' = 11, x >= 0, z'' = 1 + (1 + 1 + x) + xs
   a(z', z'') -{ 1 }-> a(9, a(f, x)) :|: f >= 0, z' = 1 + 8 + f, x >= 0, z'' = x
   a(z', z'') -{ 1 }-> 7 :|: z'' = 7, z' = 11
   a(z', z'') -{ 1 }-> 7 :|: f >= 0, z'' = 7, z' = 1 + 5 + f
   a(z', z'') -{ 1 }-> 4 :|: z'' = 12, z' = 9
   a(z', z'') -{ 1 }-> 4 :|: z' = 1 + (1 + 2 + 0) + y, z >= 0, y >= 0, z'' = 1 + 10 + z
   a(z', z'') -{ 1 }-> 12 :|: z'' = 4, z' = 9
   a(z', z'') -{ 1 }-> 12 :|: y >= 0, z' = 1 + 3 + 0, z'' = 1 + 10 + y
   a(z', z'') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z'' = v1, z' = v0
   a(z', z'') -{ 0 }-> 1 + x0 + x1 :|: z'' = x1, x0 >= 0, x1 >= 0, z' = x0
   encArg(z') -{ 0 }-> a(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z' = 1 + x_1 + x_2
   encArg(z') -{ 0 }-> 9 :|: z' = 9
   encArg(z') -{ 0 }-> 8 :|: z' = 8
   encArg(z') -{ 0 }-> 7 :|: z' = 7
   encArg(z') -{ 0 }-> 6 :|: z' = 6
   encArg(z') -{ 0 }-> 5 :|: z' = 5
   encArg(z') -{ 0 }-> 4 :|: z' = 4
   encArg(z') -{ 0 }-> 3 :|: z' = 3
   encArg(z') -{ 0 }-> 2 :|: z' = 2
   encArg(z') -{ 0 }-> 12 :|: z' = 12
   encArg(z') -{ 0 }-> 11 :|: z' = 11
   encArg(z') -{ 0 }-> 10 :|: z' = 10
   encArg(z') -{ 0 }-> 1 :|: z' = 1
   encArg(z') -{ 0 }-> 0 :|: z' = 0
   encArg(z') -{ 0 }-> 0 :|: v0 >= 0, z' = v0
   encode_0 -{ 0 }-> 0 :|: 
   encode_a(z', z'') -{ 0 }-> a(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z' = x_1, x_2 >= 0, z'' = x_2
   encode_a(z', z'') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z'' = v1, z' = v0
   encode_cons -{ 0 }-> 1 :|: 
   encode_cons -{ 0 }-> 0 :|: 
   encode_div2 -{ 0 }-> 2 :|: 
   encode_div2 -{ 0 }-> 0 :|: 
   encode_divides -{ 0 }-> 3 :|: 
   encode_divides -{ 0 }-> 0 :|: 
   encode_false -{ 0 }-> 4 :|: 
   encode_false -{ 0 }-> 0 :|: 
   encode_filter -{ 0 }-> 5 :|: 
   encode_filter -{ 0 }-> 0 :|: 
   encode_if -{ 0 }-> 6 :|: 
   encode_if -{ 0 }-> 0 :|: 
   encode_nil -{ 0 }-> 7 :|: 
   encode_nil -{ 0 }-> 0 :|: 
   encode_not -{ 0 }-> 8 :|: 
   encode_not -{ 0 }-> 0 :|: 
   encode_not2 -{ 0 }-> 9 :|: 
   encode_not2 -{ 0 }-> 0 :|: 
   encode_s -{ 0 }-> 10 :|: 
   encode_s -{ 0 }-> 0 :|: 
   encode_sieve -{ 0 }-> 11 :|: 
   encode_sieve -{ 0 }-> 0 :|: 
   encode_true -{ 0 }-> 12 :|: 
   encode_true -{ 0 }-> 0 :|: 

Only complete derivations are relevant for the runtime complexity.

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

(33) CpxTrsToCdtProof (UPPER BOUND(ID))
Converted Cpx (relative) TRS to CDT
----------------------------------------

(34)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   ENCARG(divides) -> c
   ENCARG(0) -> c1
   ENCARG(s) -> c2
   ENCARG(true) -> c3
   ENCARG(div2) -> c4
   ENCARG(false) -> c5
   ENCARG(filter) -> c6
   ENCARG(nil) -> c7
   ENCARG(cons) -> c8
   ENCARG(if) -> c9
   ENCARG(not) -> c10
   ENCARG(not2) -> c11
   ENCARG(sieve) -> c12
   ENCARG(cons_a(z0, z1)) -> c13(A(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_A(z0, z1) -> c14(A(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_DIVIDES -> c15
   ENCODE_0 -> c16
   ENCODE_S -> c17
   ENCODE_TRUE -> c18
   ENCODE_DIV2 -> c19
   ENCODE_FALSE -> c20
   ENCODE_FILTER -> c21
   ENCODE_NIL -> c22
   ENCODE_CONS -> c23
   ENCODE_IF -> c24
   ENCODE_NOT -> c25
   ENCODE_NOT2 -> c26
   ENCODE_SIEVE -> c27
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1), A(a(div2, z0), a(s, z1)), A(div2, z0), A(s, z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1), A(divides, z0))
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2), A(a(div2, z0), z1), A(div2, z0))
   A(a(filter, z0), nil) -> c33
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(a(if, a(z0, z1)), z1), A(if, a(z0, z1)), A(z0, z1), A(a(filter, z0), z2), A(filter, z0))
   A(a(a(if, true), z0), z1) -> c35(A(a(cons, z0), z1), A(cons, z0))
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(sieve, a(a(cons, z0), z1)) -> c41(A(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1))), A(cons, z0), A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1), A(filter, a(not, a(divides, z0))), A(not, a(divides, z0)), A(divides, z0))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1), A(a(div2, z0), a(s, z1)), A(div2, z0), A(s, z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1), A(divides, z0))
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2), A(a(div2, z0), z1), A(div2, z0))
   A(a(filter, z0), nil) -> c33
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(a(if, a(z0, z1)), z1), A(if, a(z0, z1)), A(z0, z1), A(a(filter, z0), z2), A(filter, z0))
   A(a(a(if, true), z0), z1) -> c35(A(a(cons, z0), z1), A(cons, z0))
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(sieve, a(a(cons, z0), z1)) -> c41(A(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1))), A(cons, z0), A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1), A(filter, a(not, a(divides, z0))), A(not, a(divides, z0)), A(divides, z0))
K tuples:none
Defined Rule Symbols:   a_2, encArg_1, encode_a_2, encode_divides, encode_0, encode_s, encode_true, encode_div2, encode_false, encode_filter, encode_nil, encode_cons, encode_if, encode_not, encode_not2, encode_sieve

Defined Pair Symbols:   ENCARG_1, ENCODE_A_2, ENCODE_DIVIDES, ENCODE_0, ENCODE_S, ENCODE_TRUE, ENCODE_DIV2, ENCODE_FALSE, ENCODE_FILTER, ENCODE_NIL, ENCODE_CONS, ENCODE_IF, ENCODE_NOT, ENCODE_NOT2, ENCODE_SIEVE, A_2

Compound Symbols:   c, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13_3, c14_3, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29_4, c30_2, c31, c32_3, c33, c34_6, c35_2, c36, c37_2, c38, c39, c40, c41_7


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

(35) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 26 trailing nodes:
   ENCODE_0 -> c16
   ENCARG(cons) -> c8
   ENCODE_FILTER -> c21
   ENCODE_DIV2 -> c19
   ENCARG(nil) -> c7
   ENCODE_NIL -> c22
   ENCARG(div2) -> c4
   ENCODE_FALSE -> c20
   ENCODE_DIVIDES -> c15
   ENCARG(filter) -> c6
   ENCODE_SIEVE -> c27
   ENCARG(not) -> c10
   ENCARG(divides) -> c
   ENCARG(0) -> c1
   ENCODE_NOT2 -> c26
   ENCARG(sieve) -> c12
   ENCARG(not2) -> c11
   ENCARG(false) -> c5
   ENCODE_S -> c17
   ENCARG(s) -> c2
   ENCODE_IF -> c24
   ENCODE_NOT -> c25
   ENCODE_TRUE -> c18
   ENCARG(true) -> c3
   ENCODE_CONS -> c23
   ENCARG(if) -> c9

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

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   ENCARG(cons_a(z0, z1)) -> c13(A(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_A(z0, z1) -> c14(A(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1), A(a(div2, z0), a(s, z1)), A(div2, z0), A(s, z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1), A(divides, z0))
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2), A(a(div2, z0), z1), A(div2, z0))
   A(a(filter, z0), nil) -> c33
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(a(if, a(z0, z1)), z1), A(if, a(z0, z1)), A(z0, z1), A(a(filter, z0), z2), A(filter, z0))
   A(a(a(if, true), z0), z1) -> c35(A(a(cons, z0), z1), A(cons, z0))
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(sieve, a(a(cons, z0), z1)) -> c41(A(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1))), A(cons, z0), A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1), A(filter, a(not, a(divides, z0))), A(not, a(divides, z0)), A(divides, z0))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1), A(a(div2, z0), a(s, z1)), A(div2, z0), A(s, z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1), A(divides, z0))
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2), A(a(div2, z0), z1), A(div2, z0))
   A(a(filter, z0), nil) -> c33
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(a(if, a(z0, z1)), z1), A(if, a(z0, z1)), A(z0, z1), A(a(filter, z0), z2), A(filter, z0))
   A(a(a(if, true), z0), z1) -> c35(A(a(cons, z0), z1), A(cons, z0))
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(sieve, a(a(cons, z0), z1)) -> c41(A(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1))), A(cons, z0), A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1), A(filter, a(not, a(divides, z0))), A(not, a(divides, z0)), A(divides, z0))
K tuples:none
Defined Rule Symbols:   a_2, encArg_1, encode_a_2, encode_divides, encode_0, encode_s, encode_true, encode_div2, encode_false, encode_filter, encode_nil, encode_cons, encode_if, encode_not, encode_not2, encode_sieve

Defined Pair Symbols:   ENCARG_1, ENCODE_A_2, A_2

Compound Symbols:   c13_3, c14_3, c28, c29_4, c30_2, c31, c32_3, c33, c34_6, c35_2, c36, c37_2, c38, c39, c40, c41_7


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

(37) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 16 trailing tuple parts
----------------------------------------

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   ENCARG(cons_a(z0, z1)) -> c13(A(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_A(z0, z1) -> c14(A(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
K tuples:none
Defined Rule Symbols:   a_2, encArg_1, encode_a_2, encode_divides, encode_0, encode_s, encode_true, encode_div2, encode_false, encode_filter, encode_nil, encode_cons, encode_if, encode_not, encode_not2, encode_sieve

Defined Pair Symbols:   ENCARG_1, ENCODE_A_2, A_2

Compound Symbols:   c13_3, c14_3, c28, c31, c33, c36, c37_2, c38, c39, c40, c29_1, c30_1, c32_1, c34_3, c35, c41_2


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

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   ENCARG(cons_a(z0, z1)) -> c13(A(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
   ENCODE_A(z0, z1) -> c(ENCARG(z0))
   ENCODE_A(z0, z1) -> c(ENCARG(z1))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
K tuples:none
Defined Rule Symbols:   a_2, encArg_1, encode_a_2, encode_divides, encode_0, encode_s, encode_true, encode_div2, encode_false, encode_filter, encode_nil, encode_cons, encode_if, encode_not, encode_not2, encode_sieve

Defined Pair Symbols:   ENCARG_1, A_2, ENCODE_A_2

Compound Symbols:   c13_3, c28, c31, c33, c36, c37_2, c38, c39, c40, c29_1, c30_1, c32_1, c34_3, c35, c41_2, c_1


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

(41) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 2 leading nodes:
   ENCODE_A(z0, z1) -> c(ENCARG(z0))
   ENCODE_A(z0, z1) -> c(ENCARG(z1))

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   ENCARG(cons_a(z0, z1)) -> c13(A(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
K tuples:none
Defined Rule Symbols:   a_2, encArg_1, encode_a_2, encode_divides, encode_0, encode_s, encode_true, encode_div2, encode_false, encode_filter, encode_nil, encode_cons, encode_if, encode_not, encode_not2, encode_sieve

Defined Pair Symbols:   ENCARG_1, A_2, ENCODE_A_2

Compound Symbols:   c13_3, c28, c31, c33, c36, c37_2, c38, c39, c40, c29_1, c30_1, c32_1, c34_3, c35, c41_2, c_1


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

(43) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_divides -> divides
   encode_0 -> 0
   encode_s -> s
   encode_true -> true
   encode_div2 -> div2
   encode_false -> false
   encode_filter -> filter
   encode_nil -> nil
   encode_cons -> cons
   encode_if -> if
   encode_not -> not
   encode_not2 -> not2
   encode_sieve -> sieve

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   ENCARG(cons_a(z0, z1)) -> c13(A(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   ENCARG_1, A_2, ENCODE_A_2

Compound Symbols:   c13_3, c28, c31, c33, c36, c37_2, c38, c39, c40, c29_1, c30_1, c32_1, c34_3, c35, c41_2, c_1


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

(45) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(z0, z1)) -> c13(A(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0), ENCARG(divides))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0), ENCARG(s))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0), ENCARG(true))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0), ENCARG(div2))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0), ENCARG(false))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0), ENCARG(filter))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0), ENCARG(cons))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0), ENCARG(if))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0), ENCARG(not))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0), ENCARG(not2))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0), ENCARG(sieve))
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(divides, x1)) -> c13(A(divides, encArg(x1)), ENCARG(divides), ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(A(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(A(s, encArg(x1)), ENCARG(s), ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(A(true, encArg(x1)), ENCARG(true), ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(A(div2, encArg(x1)), ENCARG(div2), ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(A(false, encArg(x1)), ENCARG(false), ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(A(filter, encArg(x1)), ENCARG(filter), ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(A(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(A(cons, encArg(x1)), ENCARG(cons), ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(A(if, encArg(x1)), ENCARG(if), ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(A(not, encArg(x1)), ENCARG(not), ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(not2), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(sieve), ENCARG(x1))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0), ENCARG(divides))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0), ENCARG(s))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0), ENCARG(true))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0), ENCARG(div2))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0), ENCARG(false))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0), ENCARG(filter))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0), ENCARG(nil))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0), ENCARG(cons))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0), ENCARG(if))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0), ENCARG(not))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0), ENCARG(not2))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0), ENCARG(sieve))
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(divides, x1)) -> c13(A(divides, encArg(x1)), ENCARG(divides), ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(A(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(A(s, encArg(x1)), ENCARG(s), ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(A(true, encArg(x1)), ENCARG(true), ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(A(div2, encArg(x1)), ENCARG(div2), ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(A(false, encArg(x1)), ENCARG(false), ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(A(filter, encArg(x1)), ENCARG(filter), ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(A(nil, encArg(x1)), ENCARG(nil), ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(A(cons, encArg(x1)), ENCARG(cons), ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(A(if, encArg(x1)), ENCARG(if), ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(A(not, encArg(x1)), ENCARG(not), ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(not2), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(sieve), ENCARG(x1))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCODE_A_2, ENCARG_1

Compound Symbols:   c28, c31, c33, c36, c37_2, c38, c39, c40, c29_1, c30_1, c32_1, c34_3, c35, c41_2, c_1, c13_3


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

(47) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 37 trailing tuple parts
----------------------------------------

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1))
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCODE_A_2, ENCARG_1

Compound Symbols:   c28, c31, c33, c36, c37_2, c38, c39, c40, c29_1, c30_1, c32_1, c34_3, c35, c41_2, c_1, c13_3, c13_2, c13_1


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(not, z0), z1) -> c37(A(not2, a(z0, z1)), A(z0, z1)) by 
   A(a(not, a(divides, 0)), a(s, z0)) -> c37(A(not2, true), A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c37(A(not2, a(a(a(div2, z0), a(s, z1)), z1)), A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c37(A(not2, a(a(divides, z0), z1)), A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c37(A(not2, false), A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c37(A(not2, a(a(a(div2, z0), z1), z2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(filter, z0)), nil) -> c37(A(not2, nil), A(a(filter, z0), nil))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(not2, a(a(cons, z0), z1)), A(a(a(if, true), z0), z1))
   A(a(not, a(a(if, false), z0)), z1) -> c37(A(not2, z1), A(a(a(if, false), z0), z1))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, not2), true) -> c37(A(not2, false), A(not2, true))
   A(a(not, not2), false) -> c37(A(not2, true), A(not2, false))
   A(a(not, sieve), nil) -> c37(A(not2, nil), A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(not2, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), A(sieve, a(a(cons, z0), z1)))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(divides, 0)), a(s, z0)) -> c37(A(not2, true), A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c37(A(not2, a(a(a(div2, z0), a(s, z1)), z1)), A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c37(A(not2, a(a(divides, z0), z1)), A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c37(A(not2, false), A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c37(A(not2, a(a(a(div2, z0), z1), z2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(filter, z0)), nil) -> c37(A(not2, nil), A(a(filter, z0), nil))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(not2, a(a(cons, z0), z1)), A(a(a(if, true), z0), z1))
   A(a(not, a(a(if, false), z0)), z1) -> c37(A(not2, z1), A(a(a(if, false), z0), z1))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, not2), true) -> c37(A(not2, false), A(not2, true))
   A(a(not, not2), false) -> c37(A(not2, true), A(not2, false))
   A(a(not, sieve), nil) -> c37(A(not2, nil), A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(not2, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), A(sieve, a(a(cons, z0), z1)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   A(a(not, a(divides, 0)), a(s, z0)) -> c37(A(not2, true), A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c37(A(not2, a(a(a(div2, z0), a(s, z1)), z1)), A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c37(A(not2, a(a(divides, z0), z1)), A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c37(A(not2, false), A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c37(A(not2, a(a(a(div2, z0), z1), z2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(filter, z0)), nil) -> c37(A(not2, nil), A(a(filter, z0), nil))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(not2, a(a(cons, z0), z1)), A(a(a(if, true), z0), z1))
   A(a(not, a(a(if, false), z0)), z1) -> c37(A(not2, z1), A(a(a(if, false), z0), z1))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, not2), true) -> c37(A(not2, false), A(not2, true))
   A(a(not, not2), false) -> c37(A(not2, true), A(not2, false))
   A(a(not, sieve), nil) -> c37(A(not2, nil), A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(not2, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), A(sieve, a(a(cons, z0), z1)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCODE_A_2, ENCARG_1

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c34_3, c35, c41_2, c_1, c13_3, c13_2, c13_1, c37_2


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

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(divides, 0)), a(s, z0)) -> c37(A(not2, true), A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c37(A(not2, a(a(a(div2, z0), a(s, z1)), z1)), A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c37(A(not2, a(a(divides, z0), z1)), A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c37(A(not2, false), A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c37(A(not2, a(a(a(div2, z0), z1), z2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c37(A(not2, z1), A(a(a(if, false), z0), z1))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, not2), true) -> c37(A(not2, false), A(not2, true))
   A(a(not, not2), false) -> c37(A(not2, true), A(not2, false))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   A(a(not, a(divides, 0)), a(s, z0)) -> c37(A(not2, true), A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c37(A(not2, a(a(a(div2, z0), a(s, z1)), z1)), A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c37(A(not2, a(a(divides, z0), z1)), A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c37(A(not2, false), A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c37(A(not2, a(a(a(div2, z0), z1), z2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c37(A(not2, z1), A(a(a(if, false), z0), z1))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, not2), true) -> c37(A(not2, false), A(not2, true))
   A(a(not, not2), false) -> c37(A(not2, true), A(not2, false))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCODE_A_2, ENCARG_1

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c34_3, c35, c41_2, c_1, c13_3, c13_2, c13_1, c37_2, c37_1


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

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCODE_A_2, ENCARG_1

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c34_3, c35, c41_2, c_1, c13_3, c13_2, c13_1, c37_2, c37_1, c1_1


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(filter, z0), a(a(cons, z1), z2)) -> c34(A(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)), A(z0, z1), A(a(filter, z0), z2)) by 
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x2)), A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(a(a(if, nil), nil), a(a(filter, sieve), x2)), A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x2)), A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x2)), A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(a(a(if, nil), nil), a(a(filter, sieve), x2)), A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x2)), A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x2)), A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(a(a(if, nil), nil), a(a(filter, sieve), x2)), A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x2)), A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCODE_A_2, ENCARG_1

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c41_2, c_1, c13_3, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3


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

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCODE_A_2, ENCARG_1

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c41_2, c_1, c13_3, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2


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

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(sieve, a(a(cons, z0), z1)) -> c41(A(sieve, a(a(filter, a(not, a(divides, z0))), z1)), A(a(filter, a(not, a(divides, z0))), z1)) by 
   A(sieve, a(a(cons, x0), nil)) -> c41(A(sieve, nil), A(a(filter, a(not, a(divides, x0))), nil))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), nil)) -> c41(A(sieve, nil), A(a(filter, a(not, a(divides, x0))), nil))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), nil)) -> c41(A(sieve, nil), A(a(filter, a(not, a(divides, x0))), nil))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCODE_A_2, ENCARG_1

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c_1, c13_3, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1


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

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

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1)))
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCODE_A_2, ENCARG_1

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c_1, c13_3, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1


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

(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_A(z0, z1) -> c(A(encArg(z0), encArg(z1))) by 
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(divides, x1) -> c(A(divides, encArg(x1)))
   ENCODE_A(0, x1) -> c(A(0, encArg(x1)))
   ENCODE_A(s, x1) -> c(A(s, encArg(x1)))
   ENCODE_A(true, x1) -> c(A(true, encArg(x1)))
   ENCODE_A(div2, x1) -> c(A(div2, encArg(x1)))
   ENCODE_A(false, x1) -> c(A(false, encArg(x1)))
   ENCODE_A(filter, x1) -> c(A(filter, encArg(x1)))
   ENCODE_A(nil, x1) -> c(A(nil, encArg(x1)))
   ENCODE_A(cons, x1) -> c(A(cons, encArg(x1)))
   ENCODE_A(if, x1) -> c(A(if, encArg(x1)))
   ENCODE_A(not, x1) -> c(A(not, encArg(x1)))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(divides, x1) -> c(A(divides, encArg(x1)))
   ENCODE_A(0, x1) -> c(A(0, encArg(x1)))
   ENCODE_A(s, x1) -> c(A(s, encArg(x1)))
   ENCODE_A(true, x1) -> c(A(true, encArg(x1)))
   ENCODE_A(div2, x1) -> c(A(div2, encArg(x1)))
   ENCODE_A(false, x1) -> c(A(false, encArg(x1)))
   ENCODE_A(filter, x1) -> c(A(filter, encArg(x1)))
   ENCODE_A(nil, x1) -> c(A(nil, encArg(x1)))
   ENCODE_A(cons, x1) -> c(A(cons, encArg(x1)))
   ENCODE_A(if, x1) -> c(A(if, encArg(x1)))
   ENCODE_A(not, x1) -> c(A(not, encArg(x1)))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_3, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1


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

(65) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 11 trailing nodes:
   ENCODE_A(true, x1) -> c(A(true, encArg(x1)))
   ENCODE_A(filter, x1) -> c(A(filter, encArg(x1)))
   ENCODE_A(false, x1) -> c(A(false, encArg(x1)))
   ENCODE_A(div2, x1) -> c(A(div2, encArg(x1)))
   ENCODE_A(cons, x1) -> c(A(cons, encArg(x1)))
   ENCODE_A(0, x1) -> c(A(0, encArg(x1)))
   ENCODE_A(nil, x1) -> c(A(nil, encArg(x1)))
   ENCODE_A(not, x1) -> c(A(not, encArg(x1)))
   ENCODE_A(if, x1) -> c(A(if, encArg(x1)))
   ENCODE_A(s, x1) -> c(A(s, encArg(x1)))
   ENCODE_A(divides, x1) -> c(A(divides, encArg(x1)))

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_3, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1


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

(67) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, cons_a(z0, z1))) -> c13(A(encArg(x0), a(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_a(z0, z1))) by 
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(A(divides, a(encArg(x1), encArg(x2))), ENCARG(divides), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(A(0, a(encArg(x1), encArg(x2))), ENCARG(0), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(A(s, a(encArg(x1), encArg(x2))), ENCARG(s), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(A(true, a(encArg(x1), encArg(x2))), ENCARG(true), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(A(div2, a(encArg(x1), encArg(x2))), ENCARG(div2), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(A(false, a(encArg(x1), encArg(x2))), ENCARG(false), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(A(filter, a(encArg(x1), encArg(x2))), ENCARG(filter), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(A(nil, a(encArg(x1), encArg(x2))), ENCARG(nil), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(A(cons, a(encArg(x1), encArg(x2))), ENCARG(cons), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(A(if, a(encArg(x1), encArg(x2))), ENCARG(if), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(A(not, a(encArg(x1), encArg(x2))), ENCARG(not), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(not2), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(sieve), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(A(divides, a(encArg(x1), encArg(x2))), ENCARG(divides), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(A(0, a(encArg(x1), encArg(x2))), ENCARG(0), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(A(s, a(encArg(x1), encArg(x2))), ENCARG(s), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(A(true, a(encArg(x1), encArg(x2))), ENCARG(true), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(A(div2, a(encArg(x1), encArg(x2))), ENCARG(div2), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(A(false, a(encArg(x1), encArg(x2))), ENCARG(false), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(A(filter, a(encArg(x1), encArg(x2))), ENCARG(filter), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(A(nil, a(encArg(x1), encArg(x2))), ENCARG(nil), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(A(cons, a(encArg(x1), encArg(x2))), ENCARG(cons), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(A(if, a(encArg(x1), encArg(x2))), ENCARG(if), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(A(not, a(encArg(x1), encArg(x2))), ENCARG(not), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(not2), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(sieve), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_3, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1


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

(69) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 24 trailing tuple parts
----------------------------------------

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1))
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_3, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1


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

(71) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(cons_a(z0, z1), x1)) -> c13(A(a(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_a(z0, z1)), ENCARG(x1)) by 
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)), ENCARG(divides))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)), ENCARG(0))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)), ENCARG(s))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)), ENCARG(true))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)), ENCARG(div2))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)), ENCARG(false))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)), ENCARG(filter))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)), ENCARG(nil))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)), ENCARG(cons))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)), ENCARG(if))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)), ENCARG(not))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)), ENCARG(not2))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)), ENCARG(sieve))
   ENCARG(cons_a(cons_a(x0, x1), cons_a(z0, z1))) -> c13(A(a(encArg(x0), encArg(x1)), a(encArg(z0), encArg(z1))), ENCARG(cons_a(x0, x1)), ENCARG(cons_a(z0, z1)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(A(a(0, encArg(x1)), encArg(x2)), ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(A(a(s, encArg(x1)), encArg(x2)), ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(A(a(true, encArg(x1)), encArg(x2)), ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(A(a(div2, encArg(x1)), encArg(x2)), ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(A(a(false, encArg(x1)), encArg(x2)), ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(A(a(nil, encArg(x1)), encArg(x2)), ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(A(a(cons, encArg(x1)), encArg(x2)), ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(A(a(if, encArg(x1)), encArg(x2)), ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)), ENCARG(divides))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)), ENCARG(0))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)), ENCARG(s))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)), ENCARG(true))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)), ENCARG(div2))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)), ENCARG(false))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)), ENCARG(filter))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)), ENCARG(nil))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)), ENCARG(cons))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)), ENCARG(if))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)), ENCARG(not))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)), ENCARG(not2))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)), ENCARG(sieve))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(A(a(0, encArg(x1)), encArg(x2)), ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(A(a(s, encArg(x1)), encArg(x2)), ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(A(a(true, encArg(x1)), encArg(x2)), ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(A(a(div2, encArg(x1)), encArg(x2)), ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(A(a(false, encArg(x1)), encArg(x2)), ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(A(a(nil, encArg(x1)), encArg(x2)), ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(A(a(cons, encArg(x1)), encArg(x2)), ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(A(a(if, encArg(x1)), encArg(x2)), ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(73) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 21 trailing tuple parts
----------------------------------------

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0))
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(75) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, divides)) -> c13(A(encArg(x0), divides), ENCARG(x0)) by 
   ENCARG(cons_a(divides, divides)) -> c13(A(divides, divides), ENCARG(divides))
   ENCARG(cons_a(0, divides)) -> c13(A(0, divides), ENCARG(0))
   ENCARG(cons_a(s, divides)) -> c13(A(s, divides), ENCARG(s))
   ENCARG(cons_a(true, divides)) -> c13(A(true, divides), ENCARG(true))
   ENCARG(cons_a(div2, divides)) -> c13(A(div2, divides), ENCARG(div2))
   ENCARG(cons_a(false, divides)) -> c13(A(false, divides), ENCARG(false))
   ENCARG(cons_a(filter, divides)) -> c13(A(filter, divides), ENCARG(filter))
   ENCARG(cons_a(nil, divides)) -> c13(A(nil, divides), ENCARG(nil))
   ENCARG(cons_a(cons, divides)) -> c13(A(cons, divides), ENCARG(cons))
   ENCARG(cons_a(if, divides)) -> c13(A(if, divides), ENCARG(if))
   ENCARG(cons_a(not, divides)) -> c13(A(not, divides), ENCARG(not))
   ENCARG(cons_a(not2, divides)) -> c13(A(not2, divides), ENCARG(not2))
   ENCARG(cons_a(sieve, divides)) -> c13(A(sieve, divides), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), divides)) -> c13(A(a(encArg(z0), encArg(z1)), divides), ENCARG(cons_a(z0, z1)))

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(divides, divides)) -> c13(A(divides, divides), ENCARG(divides))
   ENCARG(cons_a(0, divides)) -> c13(A(0, divides), ENCARG(0))
   ENCARG(cons_a(s, divides)) -> c13(A(s, divides), ENCARG(s))
   ENCARG(cons_a(true, divides)) -> c13(A(true, divides), ENCARG(true))
   ENCARG(cons_a(div2, divides)) -> c13(A(div2, divides), ENCARG(div2))
   ENCARG(cons_a(false, divides)) -> c13(A(false, divides), ENCARG(false))
   ENCARG(cons_a(filter, divides)) -> c13(A(filter, divides), ENCARG(filter))
   ENCARG(cons_a(nil, divides)) -> c13(A(nil, divides), ENCARG(nil))
   ENCARG(cons_a(cons, divides)) -> c13(A(cons, divides), ENCARG(cons))
   ENCARG(cons_a(if, divides)) -> c13(A(if, divides), ENCARG(if))
   ENCARG(cons_a(not, divides)) -> c13(A(not, divides), ENCARG(not))
   ENCARG(cons_a(not2, divides)) -> c13(A(not2, divides), ENCARG(not2))
   ENCARG(cons_a(sieve, divides)) -> c13(A(sieve, divides), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(77) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing nodes:
   ENCARG(cons_a(cons, divides)) -> c13(A(cons, divides), ENCARG(cons))
   ENCARG(cons_a(div2, divides)) -> c13(A(div2, divides), ENCARG(div2))
   ENCARG(cons_a(not2, divides)) -> c13(A(not2, divides), ENCARG(not2))
   ENCARG(cons_a(sieve, divides)) -> c13(A(sieve, divides), ENCARG(sieve))
   ENCARG(cons_a(filter, divides)) -> c13(A(filter, divides), ENCARG(filter))
   ENCARG(cons_a(if, divides)) -> c13(A(if, divides), ENCARG(if))
   ENCARG(cons_a(nil, divides)) -> c13(A(nil, divides), ENCARG(nil))
   ENCARG(cons_a(true, divides)) -> c13(A(true, divides), ENCARG(true))
   ENCARG(cons_a(s, divides)) -> c13(A(s, divides), ENCARG(s))
   ENCARG(cons_a(not, divides)) -> c13(A(not, divides), ENCARG(not))
   ENCARG(cons_a(0, divides)) -> c13(A(0, divides), ENCARG(0))
   ENCARG(cons_a(divides, divides)) -> c13(A(divides, divides), ENCARG(divides))
   ENCARG(cons_a(false, divides)) -> c13(A(false, divides), ENCARG(false))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(79) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, 0)) -> c13(A(encArg(x0), 0), ENCARG(x0)) by 
   ENCARG(cons_a(divides, 0)) -> c13(A(divides, 0), ENCARG(divides))
   ENCARG(cons_a(0, 0)) -> c13(A(0, 0), ENCARG(0))
   ENCARG(cons_a(s, 0)) -> c13(A(s, 0), ENCARG(s))
   ENCARG(cons_a(true, 0)) -> c13(A(true, 0), ENCARG(true))
   ENCARG(cons_a(div2, 0)) -> c13(A(div2, 0), ENCARG(div2))
   ENCARG(cons_a(false, 0)) -> c13(A(false, 0), ENCARG(false))
   ENCARG(cons_a(filter, 0)) -> c13(A(filter, 0), ENCARG(filter))
   ENCARG(cons_a(nil, 0)) -> c13(A(nil, 0), ENCARG(nil))
   ENCARG(cons_a(cons, 0)) -> c13(A(cons, 0), ENCARG(cons))
   ENCARG(cons_a(if, 0)) -> c13(A(if, 0), ENCARG(if))
   ENCARG(cons_a(not, 0)) -> c13(A(not, 0), ENCARG(not))
   ENCARG(cons_a(not2, 0)) -> c13(A(not2, 0), ENCARG(not2))
   ENCARG(cons_a(sieve, 0)) -> c13(A(sieve, 0), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), 0)) -> c13(A(a(encArg(z0), encArg(z1)), 0), ENCARG(cons_a(z0, z1)))

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(divides, 0)) -> c13(A(divides, 0), ENCARG(divides))
   ENCARG(cons_a(0, 0)) -> c13(A(0, 0), ENCARG(0))
   ENCARG(cons_a(s, 0)) -> c13(A(s, 0), ENCARG(s))
   ENCARG(cons_a(true, 0)) -> c13(A(true, 0), ENCARG(true))
   ENCARG(cons_a(div2, 0)) -> c13(A(div2, 0), ENCARG(div2))
   ENCARG(cons_a(false, 0)) -> c13(A(false, 0), ENCARG(false))
   ENCARG(cons_a(filter, 0)) -> c13(A(filter, 0), ENCARG(filter))
   ENCARG(cons_a(nil, 0)) -> c13(A(nil, 0), ENCARG(nil))
   ENCARG(cons_a(cons, 0)) -> c13(A(cons, 0), ENCARG(cons))
   ENCARG(cons_a(if, 0)) -> c13(A(if, 0), ENCARG(if))
   ENCARG(cons_a(not, 0)) -> c13(A(not, 0), ENCARG(not))
   ENCARG(cons_a(not2, 0)) -> c13(A(not2, 0), ENCARG(not2))
   ENCARG(cons_a(sieve, 0)) -> c13(A(sieve, 0), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(81) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing nodes:
   ENCARG(cons_a(divides, 0)) -> c13(A(divides, 0), ENCARG(divides))
   ENCARG(cons_a(if, 0)) -> c13(A(if, 0), ENCARG(if))
   ENCARG(cons_a(not2, 0)) -> c13(A(not2, 0), ENCARG(not2))
   ENCARG(cons_a(cons, 0)) -> c13(A(cons, 0), ENCARG(cons))
   ENCARG(cons_a(div2, 0)) -> c13(A(div2, 0), ENCARG(div2))
   ENCARG(cons_a(false, 0)) -> c13(A(false, 0), ENCARG(false))
   ENCARG(cons_a(s, 0)) -> c13(A(s, 0), ENCARG(s))
   ENCARG(cons_a(filter, 0)) -> c13(A(filter, 0), ENCARG(filter))
   ENCARG(cons_a(sieve, 0)) -> c13(A(sieve, 0), ENCARG(sieve))
   ENCARG(cons_a(nil, 0)) -> c13(A(nil, 0), ENCARG(nil))
   ENCARG(cons_a(true, 0)) -> c13(A(true, 0), ENCARG(true))
   ENCARG(cons_a(not, 0)) -> c13(A(not, 0), ENCARG(not))
   ENCARG(cons_a(0, 0)) -> c13(A(0, 0), ENCARG(0))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0))
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(83) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, s)) -> c13(A(encArg(x0), s), ENCARG(x0)) by 
   ENCARG(cons_a(divides, s)) -> c13(A(divides, s), ENCARG(divides))
   ENCARG(cons_a(0, s)) -> c13(A(0, s), ENCARG(0))
   ENCARG(cons_a(s, s)) -> c13(A(s, s), ENCARG(s))
   ENCARG(cons_a(true, s)) -> c13(A(true, s), ENCARG(true))
   ENCARG(cons_a(div2, s)) -> c13(A(div2, s), ENCARG(div2))
   ENCARG(cons_a(false, s)) -> c13(A(false, s), ENCARG(false))
   ENCARG(cons_a(filter, s)) -> c13(A(filter, s), ENCARG(filter))
   ENCARG(cons_a(nil, s)) -> c13(A(nil, s), ENCARG(nil))
   ENCARG(cons_a(cons, s)) -> c13(A(cons, s), ENCARG(cons))
   ENCARG(cons_a(if, s)) -> c13(A(if, s), ENCARG(if))
   ENCARG(cons_a(not, s)) -> c13(A(not, s), ENCARG(not))
   ENCARG(cons_a(not2, s)) -> c13(A(not2, s), ENCARG(not2))
   ENCARG(cons_a(sieve, s)) -> c13(A(sieve, s), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), s)) -> c13(A(a(encArg(z0), encArg(z1)), s), ENCARG(cons_a(z0, z1)))

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(divides, s)) -> c13(A(divides, s), ENCARG(divides))
   ENCARG(cons_a(0, s)) -> c13(A(0, s), ENCARG(0))
   ENCARG(cons_a(s, s)) -> c13(A(s, s), ENCARG(s))
   ENCARG(cons_a(true, s)) -> c13(A(true, s), ENCARG(true))
   ENCARG(cons_a(div2, s)) -> c13(A(div2, s), ENCARG(div2))
   ENCARG(cons_a(false, s)) -> c13(A(false, s), ENCARG(false))
   ENCARG(cons_a(filter, s)) -> c13(A(filter, s), ENCARG(filter))
   ENCARG(cons_a(nil, s)) -> c13(A(nil, s), ENCARG(nil))
   ENCARG(cons_a(cons, s)) -> c13(A(cons, s), ENCARG(cons))
   ENCARG(cons_a(if, s)) -> c13(A(if, s), ENCARG(if))
   ENCARG(cons_a(not, s)) -> c13(A(not, s), ENCARG(not))
   ENCARG(cons_a(not2, s)) -> c13(A(not2, s), ENCARG(not2))
   ENCARG(cons_a(sieve, s)) -> c13(A(sieve, s), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(85) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing nodes:
   ENCARG(cons_a(filter, s)) -> c13(A(filter, s), ENCARG(filter))
   ENCARG(cons_a(cons, s)) -> c13(A(cons, s), ENCARG(cons))
   ENCARG(cons_a(not2, s)) -> c13(A(not2, s), ENCARG(not2))
   ENCARG(cons_a(false, s)) -> c13(A(false, s), ENCARG(false))
   ENCARG(cons_a(sieve, s)) -> c13(A(sieve, s), ENCARG(sieve))
   ENCARG(cons_a(0, s)) -> c13(A(0, s), ENCARG(0))
   ENCARG(cons_a(if, s)) -> c13(A(if, s), ENCARG(if))
   ENCARG(cons_a(divides, s)) -> c13(A(divides, s), ENCARG(divides))
   ENCARG(cons_a(nil, s)) -> c13(A(nil, s), ENCARG(nil))
   ENCARG(cons_a(true, s)) -> c13(A(true, s), ENCARG(true))
   ENCARG(cons_a(not, s)) -> c13(A(not, s), ENCARG(not))
   ENCARG(cons_a(s, s)) -> c13(A(s, s), ENCARG(s))
   ENCARG(cons_a(div2, s)) -> c13(A(div2, s), ENCARG(div2))

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0))
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, true)) -> c13(A(encArg(x0), true), ENCARG(x0)) by 
   ENCARG(cons_a(divides, true)) -> c13(A(divides, true), ENCARG(divides))
   ENCARG(cons_a(0, true)) -> c13(A(0, true), ENCARG(0))
   ENCARG(cons_a(s, true)) -> c13(A(s, true), ENCARG(s))
   ENCARG(cons_a(true, true)) -> c13(A(true, true), ENCARG(true))
   ENCARG(cons_a(div2, true)) -> c13(A(div2, true), ENCARG(div2))
   ENCARG(cons_a(false, true)) -> c13(A(false, true), ENCARG(false))
   ENCARG(cons_a(filter, true)) -> c13(A(filter, true), ENCARG(filter))
   ENCARG(cons_a(nil, true)) -> c13(A(nil, true), ENCARG(nil))
   ENCARG(cons_a(cons, true)) -> c13(A(cons, true), ENCARG(cons))
   ENCARG(cons_a(if, true)) -> c13(A(if, true), ENCARG(if))
   ENCARG(cons_a(not, true)) -> c13(A(not, true), ENCARG(not))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true), ENCARG(not2))
   ENCARG(cons_a(sieve, true)) -> c13(A(sieve, true), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), true)) -> c13(A(a(encArg(z0), encArg(z1)), true), ENCARG(cons_a(z0, z1)))

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(divides, true)) -> c13(A(divides, true), ENCARG(divides))
   ENCARG(cons_a(0, true)) -> c13(A(0, true), ENCARG(0))
   ENCARG(cons_a(s, true)) -> c13(A(s, true), ENCARG(s))
   ENCARG(cons_a(true, true)) -> c13(A(true, true), ENCARG(true))
   ENCARG(cons_a(div2, true)) -> c13(A(div2, true), ENCARG(div2))
   ENCARG(cons_a(false, true)) -> c13(A(false, true), ENCARG(false))
   ENCARG(cons_a(filter, true)) -> c13(A(filter, true), ENCARG(filter))
   ENCARG(cons_a(nil, true)) -> c13(A(nil, true), ENCARG(nil))
   ENCARG(cons_a(cons, true)) -> c13(A(cons, true), ENCARG(cons))
   ENCARG(cons_a(if, true)) -> c13(A(if, true), ENCARG(if))
   ENCARG(cons_a(not, true)) -> c13(A(not, true), ENCARG(not))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true), ENCARG(not2))
   ENCARG(cons_a(sieve, true)) -> c13(A(sieve, true), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(89) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 12 trailing nodes:
   ENCARG(cons_a(filter, true)) -> c13(A(filter, true), ENCARG(filter))
   ENCARG(cons_a(div2, true)) -> c13(A(div2, true), ENCARG(div2))
   ENCARG(cons_a(divides, true)) -> c13(A(divides, true), ENCARG(divides))
   ENCARG(cons_a(if, true)) -> c13(A(if, true), ENCARG(if))
   ENCARG(cons_a(not, true)) -> c13(A(not, true), ENCARG(not))
   ENCARG(cons_a(false, true)) -> c13(A(false, true), ENCARG(false))
   ENCARG(cons_a(s, true)) -> c13(A(s, true), ENCARG(s))
   ENCARG(cons_a(0, true)) -> c13(A(0, true), ENCARG(0))
   ENCARG(cons_a(cons, true)) -> c13(A(cons, true), ENCARG(cons))
   ENCARG(cons_a(nil, true)) -> c13(A(nil, true), ENCARG(nil))
   ENCARG(cons_a(true, true)) -> c13(A(true, true), ENCARG(true))
   ENCARG(cons_a(sieve, true)) -> c13(A(sieve, true), ENCARG(sieve))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true), ENCARG(not2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0))
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(93) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, div2)) -> c13(A(encArg(x0), div2), ENCARG(x0)) by 
   ENCARG(cons_a(divides, div2)) -> c13(A(divides, div2), ENCARG(divides))
   ENCARG(cons_a(0, div2)) -> c13(A(0, div2), ENCARG(0))
   ENCARG(cons_a(s, div2)) -> c13(A(s, div2), ENCARG(s))
   ENCARG(cons_a(true, div2)) -> c13(A(true, div2), ENCARG(true))
   ENCARG(cons_a(div2, div2)) -> c13(A(div2, div2), ENCARG(div2))
   ENCARG(cons_a(false, div2)) -> c13(A(false, div2), ENCARG(false))
   ENCARG(cons_a(filter, div2)) -> c13(A(filter, div2), ENCARG(filter))
   ENCARG(cons_a(nil, div2)) -> c13(A(nil, div2), ENCARG(nil))
   ENCARG(cons_a(cons, div2)) -> c13(A(cons, div2), ENCARG(cons))
   ENCARG(cons_a(if, div2)) -> c13(A(if, div2), ENCARG(if))
   ENCARG(cons_a(not, div2)) -> c13(A(not, div2), ENCARG(not))
   ENCARG(cons_a(not2, div2)) -> c13(A(not2, div2), ENCARG(not2))
   ENCARG(cons_a(sieve, div2)) -> c13(A(sieve, div2), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), div2)) -> c13(A(a(encArg(z0), encArg(z1)), div2), ENCARG(cons_a(z0, z1)))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(divides, div2)) -> c13(A(divides, div2), ENCARG(divides))
   ENCARG(cons_a(0, div2)) -> c13(A(0, div2), ENCARG(0))
   ENCARG(cons_a(s, div2)) -> c13(A(s, div2), ENCARG(s))
   ENCARG(cons_a(true, div2)) -> c13(A(true, div2), ENCARG(true))
   ENCARG(cons_a(div2, div2)) -> c13(A(div2, div2), ENCARG(div2))
   ENCARG(cons_a(false, div2)) -> c13(A(false, div2), ENCARG(false))
   ENCARG(cons_a(filter, div2)) -> c13(A(filter, div2), ENCARG(filter))
   ENCARG(cons_a(nil, div2)) -> c13(A(nil, div2), ENCARG(nil))
   ENCARG(cons_a(cons, div2)) -> c13(A(cons, div2), ENCARG(cons))
   ENCARG(cons_a(if, div2)) -> c13(A(if, div2), ENCARG(if))
   ENCARG(cons_a(not, div2)) -> c13(A(not, div2), ENCARG(not))
   ENCARG(cons_a(not2, div2)) -> c13(A(not2, div2), ENCARG(not2))
   ENCARG(cons_a(sieve, div2)) -> c13(A(sieve, div2), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(95) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing nodes:
   ENCARG(cons_a(nil, div2)) -> c13(A(nil, div2), ENCARG(nil))
   ENCARG(cons_a(true, div2)) -> c13(A(true, div2), ENCARG(true))
   ENCARG(cons_a(not, div2)) -> c13(A(not, div2), ENCARG(not))
   ENCARG(cons_a(s, div2)) -> c13(A(s, div2), ENCARG(s))
   ENCARG(cons_a(0, div2)) -> c13(A(0, div2), ENCARG(0))
   ENCARG(cons_a(sieve, div2)) -> c13(A(sieve, div2), ENCARG(sieve))
   ENCARG(cons_a(not2, div2)) -> c13(A(not2, div2), ENCARG(not2))
   ENCARG(cons_a(divides, div2)) -> c13(A(divides, div2), ENCARG(divides))
   ENCARG(cons_a(filter, div2)) -> c13(A(filter, div2), ENCARG(filter))
   ENCARG(cons_a(cons, div2)) -> c13(A(cons, div2), ENCARG(cons))
   ENCARG(cons_a(div2, div2)) -> c13(A(div2, div2), ENCARG(div2))
   ENCARG(cons_a(if, div2)) -> c13(A(if, div2), ENCARG(if))
   ENCARG(cons_a(false, div2)) -> c13(A(false, div2), ENCARG(false))

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

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0))
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, false)) -> c13(A(encArg(x0), false), ENCARG(x0)) by 
   ENCARG(cons_a(divides, false)) -> c13(A(divides, false), ENCARG(divides))
   ENCARG(cons_a(0, false)) -> c13(A(0, false), ENCARG(0))
   ENCARG(cons_a(s, false)) -> c13(A(s, false), ENCARG(s))
   ENCARG(cons_a(true, false)) -> c13(A(true, false), ENCARG(true))
   ENCARG(cons_a(div2, false)) -> c13(A(div2, false), ENCARG(div2))
   ENCARG(cons_a(false, false)) -> c13(A(false, false), ENCARG(false))
   ENCARG(cons_a(filter, false)) -> c13(A(filter, false), ENCARG(filter))
   ENCARG(cons_a(nil, false)) -> c13(A(nil, false), ENCARG(nil))
   ENCARG(cons_a(cons, false)) -> c13(A(cons, false), ENCARG(cons))
   ENCARG(cons_a(if, false)) -> c13(A(if, false), ENCARG(if))
   ENCARG(cons_a(not, false)) -> c13(A(not, false), ENCARG(not))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false), ENCARG(not2))
   ENCARG(cons_a(sieve, false)) -> c13(A(sieve, false), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), false)) -> c13(A(a(encArg(z0), encArg(z1)), false), ENCARG(cons_a(z0, z1)))

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

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(divides, false)) -> c13(A(divides, false), ENCARG(divides))
   ENCARG(cons_a(0, false)) -> c13(A(0, false), ENCARG(0))
   ENCARG(cons_a(s, false)) -> c13(A(s, false), ENCARG(s))
   ENCARG(cons_a(true, false)) -> c13(A(true, false), ENCARG(true))
   ENCARG(cons_a(div2, false)) -> c13(A(div2, false), ENCARG(div2))
   ENCARG(cons_a(false, false)) -> c13(A(false, false), ENCARG(false))
   ENCARG(cons_a(filter, false)) -> c13(A(filter, false), ENCARG(filter))
   ENCARG(cons_a(nil, false)) -> c13(A(nil, false), ENCARG(nil))
   ENCARG(cons_a(cons, false)) -> c13(A(cons, false), ENCARG(cons))
   ENCARG(cons_a(if, false)) -> c13(A(if, false), ENCARG(if))
   ENCARG(cons_a(not, false)) -> c13(A(not, false), ENCARG(not))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false), ENCARG(not2))
   ENCARG(cons_a(sieve, false)) -> c13(A(sieve, false), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(99) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 12 trailing nodes:
   ENCARG(cons_a(false, false)) -> c13(A(false, false), ENCARG(false))
   ENCARG(cons_a(s, false)) -> c13(A(s, false), ENCARG(s))
   ENCARG(cons_a(if, false)) -> c13(A(if, false), ENCARG(if))
   ENCARG(cons_a(sieve, false)) -> c13(A(sieve, false), ENCARG(sieve))
   ENCARG(cons_a(cons, false)) -> c13(A(cons, false), ENCARG(cons))
   ENCARG(cons_a(nil, false)) -> c13(A(nil, false), ENCARG(nil))
   ENCARG(cons_a(true, false)) -> c13(A(true, false), ENCARG(true))
   ENCARG(cons_a(divides, false)) -> c13(A(divides, false), ENCARG(divides))
   ENCARG(cons_a(not, false)) -> c13(A(not, false), ENCARG(not))
   ENCARG(cons_a(0, false)) -> c13(A(0, false), ENCARG(0))
   ENCARG(cons_a(filter, false)) -> c13(A(filter, false), ENCARG(filter))
   ENCARG(cons_a(div2, false)) -> c13(A(div2, false), ENCARG(div2))

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

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false), ENCARG(not2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0))
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(103) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, filter)) -> c13(A(encArg(x0), filter), ENCARG(x0)) by 
   ENCARG(cons_a(divides, filter)) -> c13(A(divides, filter), ENCARG(divides))
   ENCARG(cons_a(0, filter)) -> c13(A(0, filter), ENCARG(0))
   ENCARG(cons_a(s, filter)) -> c13(A(s, filter), ENCARG(s))
   ENCARG(cons_a(true, filter)) -> c13(A(true, filter), ENCARG(true))
   ENCARG(cons_a(div2, filter)) -> c13(A(div2, filter), ENCARG(div2))
   ENCARG(cons_a(false, filter)) -> c13(A(false, filter), ENCARG(false))
   ENCARG(cons_a(filter, filter)) -> c13(A(filter, filter), ENCARG(filter))
   ENCARG(cons_a(nil, filter)) -> c13(A(nil, filter), ENCARG(nil))
   ENCARG(cons_a(cons, filter)) -> c13(A(cons, filter), ENCARG(cons))
   ENCARG(cons_a(if, filter)) -> c13(A(if, filter), ENCARG(if))
   ENCARG(cons_a(not, filter)) -> c13(A(not, filter), ENCARG(not))
   ENCARG(cons_a(not2, filter)) -> c13(A(not2, filter), ENCARG(not2))
   ENCARG(cons_a(sieve, filter)) -> c13(A(sieve, filter), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), filter)) -> c13(A(a(encArg(z0), encArg(z1)), filter), ENCARG(cons_a(z0, z1)))

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

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(divides, filter)) -> c13(A(divides, filter), ENCARG(divides))
   ENCARG(cons_a(0, filter)) -> c13(A(0, filter), ENCARG(0))
   ENCARG(cons_a(s, filter)) -> c13(A(s, filter), ENCARG(s))
   ENCARG(cons_a(true, filter)) -> c13(A(true, filter), ENCARG(true))
   ENCARG(cons_a(div2, filter)) -> c13(A(div2, filter), ENCARG(div2))
   ENCARG(cons_a(false, filter)) -> c13(A(false, filter), ENCARG(false))
   ENCARG(cons_a(filter, filter)) -> c13(A(filter, filter), ENCARG(filter))
   ENCARG(cons_a(nil, filter)) -> c13(A(nil, filter), ENCARG(nil))
   ENCARG(cons_a(cons, filter)) -> c13(A(cons, filter), ENCARG(cons))
   ENCARG(cons_a(if, filter)) -> c13(A(if, filter), ENCARG(if))
   ENCARG(cons_a(not, filter)) -> c13(A(not, filter), ENCARG(not))
   ENCARG(cons_a(not2, filter)) -> c13(A(not2, filter), ENCARG(not2))
   ENCARG(cons_a(sieve, filter)) -> c13(A(sieve, filter), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(105) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing nodes:
   ENCARG(cons_a(not, filter)) -> c13(A(not, filter), ENCARG(not))
   ENCARG(cons_a(if, filter)) -> c13(A(if, filter), ENCARG(if))
   ENCARG(cons_a(filter, filter)) -> c13(A(filter, filter), ENCARG(filter))
   ENCARG(cons_a(false, filter)) -> c13(A(false, filter), ENCARG(false))
   ENCARG(cons_a(div2, filter)) -> c13(A(div2, filter), ENCARG(div2))
   ENCARG(cons_a(sieve, filter)) -> c13(A(sieve, filter), ENCARG(sieve))
   ENCARG(cons_a(0, filter)) -> c13(A(0, filter), ENCARG(0))
   ENCARG(cons_a(not2, filter)) -> c13(A(not2, filter), ENCARG(not2))
   ENCARG(cons_a(s, filter)) -> c13(A(s, filter), ENCARG(s))
   ENCARG(cons_a(nil, filter)) -> c13(A(nil, filter), ENCARG(nil))
   ENCARG(cons_a(true, filter)) -> c13(A(true, filter), ENCARG(true))
   ENCARG(cons_a(divides, filter)) -> c13(A(divides, filter), ENCARG(divides))
   ENCARG(cons_a(cons, filter)) -> c13(A(cons, filter), ENCARG(cons))

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

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0))
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(107) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, nil)) -> c13(A(encArg(x0), nil), ENCARG(x0)) by 
   ENCARG(cons_a(divides, nil)) -> c13(A(divides, nil), ENCARG(divides))
   ENCARG(cons_a(0, nil)) -> c13(A(0, nil), ENCARG(0))
   ENCARG(cons_a(s, nil)) -> c13(A(s, nil), ENCARG(s))
   ENCARG(cons_a(true, nil)) -> c13(A(true, nil), ENCARG(true))
   ENCARG(cons_a(div2, nil)) -> c13(A(div2, nil), ENCARG(div2))
   ENCARG(cons_a(false, nil)) -> c13(A(false, nil), ENCARG(false))
   ENCARG(cons_a(filter, nil)) -> c13(A(filter, nil), ENCARG(filter))
   ENCARG(cons_a(nil, nil)) -> c13(A(nil, nil), ENCARG(nil))
   ENCARG(cons_a(cons, nil)) -> c13(A(cons, nil), ENCARG(cons))
   ENCARG(cons_a(if, nil)) -> c13(A(if, nil), ENCARG(if))
   ENCARG(cons_a(not, nil)) -> c13(A(not, nil), ENCARG(not))
   ENCARG(cons_a(not2, nil)) -> c13(A(not2, nil), ENCARG(not2))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), nil)) -> c13(A(a(encArg(z0), encArg(z1)), nil), ENCARG(cons_a(z0, z1)))

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

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(divides, nil)) -> c13(A(divides, nil), ENCARG(divides))
   ENCARG(cons_a(0, nil)) -> c13(A(0, nil), ENCARG(0))
   ENCARG(cons_a(s, nil)) -> c13(A(s, nil), ENCARG(s))
   ENCARG(cons_a(true, nil)) -> c13(A(true, nil), ENCARG(true))
   ENCARG(cons_a(div2, nil)) -> c13(A(div2, nil), ENCARG(div2))
   ENCARG(cons_a(false, nil)) -> c13(A(false, nil), ENCARG(false))
   ENCARG(cons_a(filter, nil)) -> c13(A(filter, nil), ENCARG(filter))
   ENCARG(cons_a(nil, nil)) -> c13(A(nil, nil), ENCARG(nil))
   ENCARG(cons_a(cons, nil)) -> c13(A(cons, nil), ENCARG(cons))
   ENCARG(cons_a(if, nil)) -> c13(A(if, nil), ENCARG(if))
   ENCARG(cons_a(not, nil)) -> c13(A(not, nil), ENCARG(not))
   ENCARG(cons_a(not2, nil)) -> c13(A(not2, nil), ENCARG(not2))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(109) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 12 trailing nodes:
   ENCARG(cons_a(s, nil)) -> c13(A(s, nil), ENCARG(s))
   ENCARG(cons_a(false, nil)) -> c13(A(false, nil), ENCARG(false))
   ENCARG(cons_a(nil, nil)) -> c13(A(nil, nil), ENCARG(nil))
   ENCARG(cons_a(filter, nil)) -> c13(A(filter, nil), ENCARG(filter))
   ENCARG(cons_a(true, nil)) -> c13(A(true, nil), ENCARG(true))
   ENCARG(cons_a(not2, nil)) -> c13(A(not2, nil), ENCARG(not2))
   ENCARG(cons_a(cons, nil)) -> c13(A(cons, nil), ENCARG(cons))
   ENCARG(cons_a(0, nil)) -> c13(A(0, nil), ENCARG(0))
   ENCARG(cons_a(not, nil)) -> c13(A(not, nil), ENCARG(not))
   ENCARG(cons_a(if, nil)) -> c13(A(if, nil), ENCARG(if))
   ENCARG(cons_a(divides, nil)) -> c13(A(divides, nil), ENCARG(divides))
   ENCARG(cons_a(div2, nil)) -> c13(A(div2, nil), ENCARG(div2))

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

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

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

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0))
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(113) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, cons)) -> c13(A(encArg(x0), cons), ENCARG(x0)) by 
   ENCARG(cons_a(divides, cons)) -> c13(A(divides, cons), ENCARG(divides))
   ENCARG(cons_a(0, cons)) -> c13(A(0, cons), ENCARG(0))
   ENCARG(cons_a(s, cons)) -> c13(A(s, cons), ENCARG(s))
   ENCARG(cons_a(true, cons)) -> c13(A(true, cons), ENCARG(true))
   ENCARG(cons_a(div2, cons)) -> c13(A(div2, cons), ENCARG(div2))
   ENCARG(cons_a(false, cons)) -> c13(A(false, cons), ENCARG(false))
   ENCARG(cons_a(filter, cons)) -> c13(A(filter, cons), ENCARG(filter))
   ENCARG(cons_a(nil, cons)) -> c13(A(nil, cons), ENCARG(nil))
   ENCARG(cons_a(cons, cons)) -> c13(A(cons, cons), ENCARG(cons))
   ENCARG(cons_a(if, cons)) -> c13(A(if, cons), ENCARG(if))
   ENCARG(cons_a(not, cons)) -> c13(A(not, cons), ENCARG(not))
   ENCARG(cons_a(not2, cons)) -> c13(A(not2, cons), ENCARG(not2))
   ENCARG(cons_a(sieve, cons)) -> c13(A(sieve, cons), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), cons)) -> c13(A(a(encArg(z0), encArg(z1)), cons), ENCARG(cons_a(z0, z1)))

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

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   ENCARG(cons_a(divides, cons)) -> c13(A(divides, cons), ENCARG(divides))
   ENCARG(cons_a(0, cons)) -> c13(A(0, cons), ENCARG(0))
   ENCARG(cons_a(s, cons)) -> c13(A(s, cons), ENCARG(s))
   ENCARG(cons_a(true, cons)) -> c13(A(true, cons), ENCARG(true))
   ENCARG(cons_a(div2, cons)) -> c13(A(div2, cons), ENCARG(div2))
   ENCARG(cons_a(false, cons)) -> c13(A(false, cons), ENCARG(false))
   ENCARG(cons_a(filter, cons)) -> c13(A(filter, cons), ENCARG(filter))
   ENCARG(cons_a(nil, cons)) -> c13(A(nil, cons), ENCARG(nil))
   ENCARG(cons_a(cons, cons)) -> c13(A(cons, cons), ENCARG(cons))
   ENCARG(cons_a(if, cons)) -> c13(A(if, cons), ENCARG(if))
   ENCARG(cons_a(not, cons)) -> c13(A(not, cons), ENCARG(not))
   ENCARG(cons_a(not2, cons)) -> c13(A(not2, cons), ENCARG(not2))
   ENCARG(cons_a(sieve, cons)) -> c13(A(sieve, cons), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(115) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing nodes:
   ENCARG(cons_a(nil, cons)) -> c13(A(nil, cons), ENCARG(nil))
   ENCARG(cons_a(true, cons)) -> c13(A(true, cons), ENCARG(true))
   ENCARG(cons_a(0, cons)) -> c13(A(0, cons), ENCARG(0))
   ENCARG(cons_a(filter, cons)) -> c13(A(filter, cons), ENCARG(filter))
   ENCARG(cons_a(if, cons)) -> c13(A(if, cons), ENCARG(if))
   ENCARG(cons_a(sieve, cons)) -> c13(A(sieve, cons), ENCARG(sieve))
   ENCARG(cons_a(not, cons)) -> c13(A(not, cons), ENCARG(not))
   ENCARG(cons_a(cons, cons)) -> c13(A(cons, cons), ENCARG(cons))
   ENCARG(cons_a(false, cons)) -> c13(A(false, cons), ENCARG(false))
   ENCARG(cons_a(divides, cons)) -> c13(A(divides, cons), ENCARG(divides))
   ENCARG(cons_a(div2, cons)) -> c13(A(div2, cons), ENCARG(div2))
   ENCARG(cons_a(not2, cons)) -> c13(A(not2, cons), ENCARG(not2))
   ENCARG(cons_a(s, cons)) -> c13(A(s, cons), ENCARG(s))

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

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0))
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(117) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, if)) -> c13(A(encArg(x0), if), ENCARG(x0)) by 
   ENCARG(cons_a(divides, if)) -> c13(A(divides, if), ENCARG(divides))
   ENCARG(cons_a(0, if)) -> c13(A(0, if), ENCARG(0))
   ENCARG(cons_a(s, if)) -> c13(A(s, if), ENCARG(s))
   ENCARG(cons_a(true, if)) -> c13(A(true, if), ENCARG(true))
   ENCARG(cons_a(div2, if)) -> c13(A(div2, if), ENCARG(div2))
   ENCARG(cons_a(false, if)) -> c13(A(false, if), ENCARG(false))
   ENCARG(cons_a(filter, if)) -> c13(A(filter, if), ENCARG(filter))
   ENCARG(cons_a(nil, if)) -> c13(A(nil, if), ENCARG(nil))
   ENCARG(cons_a(cons, if)) -> c13(A(cons, if), ENCARG(cons))
   ENCARG(cons_a(if, if)) -> c13(A(if, if), ENCARG(if))
   ENCARG(cons_a(not, if)) -> c13(A(not, if), ENCARG(not))
   ENCARG(cons_a(not2, if)) -> c13(A(not2, if), ENCARG(not2))
   ENCARG(cons_a(sieve, if)) -> c13(A(sieve, if), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), if)) -> c13(A(a(encArg(z0), encArg(z1)), if), ENCARG(cons_a(z0, z1)))

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

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   ENCARG(cons_a(divides, if)) -> c13(A(divides, if), ENCARG(divides))
   ENCARG(cons_a(0, if)) -> c13(A(0, if), ENCARG(0))
   ENCARG(cons_a(s, if)) -> c13(A(s, if), ENCARG(s))
   ENCARG(cons_a(true, if)) -> c13(A(true, if), ENCARG(true))
   ENCARG(cons_a(div2, if)) -> c13(A(div2, if), ENCARG(div2))
   ENCARG(cons_a(false, if)) -> c13(A(false, if), ENCARG(false))
   ENCARG(cons_a(filter, if)) -> c13(A(filter, if), ENCARG(filter))
   ENCARG(cons_a(nil, if)) -> c13(A(nil, if), ENCARG(nil))
   ENCARG(cons_a(cons, if)) -> c13(A(cons, if), ENCARG(cons))
   ENCARG(cons_a(if, if)) -> c13(A(if, if), ENCARG(if))
   ENCARG(cons_a(not, if)) -> c13(A(not, if), ENCARG(not))
   ENCARG(cons_a(not2, if)) -> c13(A(not2, if), ENCARG(not2))
   ENCARG(cons_a(sieve, if)) -> c13(A(sieve, if), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(119) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing nodes:
   ENCARG(cons_a(0, if)) -> c13(A(0, if), ENCARG(0))
   ENCARG(cons_a(nil, if)) -> c13(A(nil, if), ENCARG(nil))
   ENCARG(cons_a(true, if)) -> c13(A(true, if), ENCARG(true))
   ENCARG(cons_a(sieve, if)) -> c13(A(sieve, if), ENCARG(sieve))
   ENCARG(cons_a(filter, if)) -> c13(A(filter, if), ENCARG(filter))
   ENCARG(cons_a(if, if)) -> c13(A(if, if), ENCARG(if))
   ENCARG(cons_a(cons, if)) -> c13(A(cons, if), ENCARG(cons))
   ENCARG(cons_a(false, if)) -> c13(A(false, if), ENCARG(false))
   ENCARG(cons_a(not, if)) -> c13(A(not, if), ENCARG(not))
   ENCARG(cons_a(div2, if)) -> c13(A(div2, if), ENCARG(div2))
   ENCARG(cons_a(divides, if)) -> c13(A(divides, if), ENCARG(divides))
   ENCARG(cons_a(not2, if)) -> c13(A(not2, if), ENCARG(not2))
   ENCARG(cons_a(s, if)) -> c13(A(s, if), ENCARG(s))

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

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0))
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(121) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, not)) -> c13(A(encArg(x0), not), ENCARG(x0)) by 
   ENCARG(cons_a(divides, not)) -> c13(A(divides, not), ENCARG(divides))
   ENCARG(cons_a(0, not)) -> c13(A(0, not), ENCARG(0))
   ENCARG(cons_a(s, not)) -> c13(A(s, not), ENCARG(s))
   ENCARG(cons_a(true, not)) -> c13(A(true, not), ENCARG(true))
   ENCARG(cons_a(div2, not)) -> c13(A(div2, not), ENCARG(div2))
   ENCARG(cons_a(false, not)) -> c13(A(false, not), ENCARG(false))
   ENCARG(cons_a(filter, not)) -> c13(A(filter, not), ENCARG(filter))
   ENCARG(cons_a(nil, not)) -> c13(A(nil, not), ENCARG(nil))
   ENCARG(cons_a(cons, not)) -> c13(A(cons, not), ENCARG(cons))
   ENCARG(cons_a(if, not)) -> c13(A(if, not), ENCARG(if))
   ENCARG(cons_a(not, not)) -> c13(A(not, not), ENCARG(not))
   ENCARG(cons_a(not2, not)) -> c13(A(not2, not), ENCARG(not2))
   ENCARG(cons_a(sieve, not)) -> c13(A(sieve, not), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), not)) -> c13(A(a(encArg(z0), encArg(z1)), not), ENCARG(cons_a(z0, z1)))

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

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   ENCARG(cons_a(divides, not)) -> c13(A(divides, not), ENCARG(divides))
   ENCARG(cons_a(0, not)) -> c13(A(0, not), ENCARG(0))
   ENCARG(cons_a(s, not)) -> c13(A(s, not), ENCARG(s))
   ENCARG(cons_a(true, not)) -> c13(A(true, not), ENCARG(true))
   ENCARG(cons_a(div2, not)) -> c13(A(div2, not), ENCARG(div2))
   ENCARG(cons_a(false, not)) -> c13(A(false, not), ENCARG(false))
   ENCARG(cons_a(filter, not)) -> c13(A(filter, not), ENCARG(filter))
   ENCARG(cons_a(nil, not)) -> c13(A(nil, not), ENCARG(nil))
   ENCARG(cons_a(cons, not)) -> c13(A(cons, not), ENCARG(cons))
   ENCARG(cons_a(if, not)) -> c13(A(if, not), ENCARG(if))
   ENCARG(cons_a(not, not)) -> c13(A(not, not), ENCARG(not))
   ENCARG(cons_a(not2, not)) -> c13(A(not2, not), ENCARG(not2))
   ENCARG(cons_a(sieve, not)) -> c13(A(sieve, not), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(123) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing nodes:
   ENCARG(cons_a(div2, not)) -> c13(A(div2, not), ENCARG(div2))
   ENCARG(cons_a(false, not)) -> c13(A(false, not), ENCARG(false))
   ENCARG(cons_a(0, not)) -> c13(A(0, not), ENCARG(0))
   ENCARG(cons_a(nil, not)) -> c13(A(nil, not), ENCARG(nil))
   ENCARG(cons_a(true, not)) -> c13(A(true, not), ENCARG(true))
   ENCARG(cons_a(not2, not)) -> c13(A(not2, not), ENCARG(not2))
   ENCARG(cons_a(not, not)) -> c13(A(not, not), ENCARG(not))
   ENCARG(cons_a(s, not)) -> c13(A(s, not), ENCARG(s))
   ENCARG(cons_a(if, not)) -> c13(A(if, not), ENCARG(if))
   ENCARG(cons_a(sieve, not)) -> c13(A(sieve, not), ENCARG(sieve))
   ENCARG(cons_a(filter, not)) -> c13(A(filter, not), ENCARG(filter))
   ENCARG(cons_a(divides, not)) -> c13(A(divides, not), ENCARG(divides))
   ENCARG(cons_a(cons, not)) -> c13(A(cons, not), ENCARG(cons))

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

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0))
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(125) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, not2)) -> c13(A(encArg(x0), not2), ENCARG(x0)) by 
   ENCARG(cons_a(divides, not2)) -> c13(A(divides, not2), ENCARG(divides))
   ENCARG(cons_a(0, not2)) -> c13(A(0, not2), ENCARG(0))
   ENCARG(cons_a(s, not2)) -> c13(A(s, not2), ENCARG(s))
   ENCARG(cons_a(true, not2)) -> c13(A(true, not2), ENCARG(true))
   ENCARG(cons_a(div2, not2)) -> c13(A(div2, not2), ENCARG(div2))
   ENCARG(cons_a(false, not2)) -> c13(A(false, not2), ENCARG(false))
   ENCARG(cons_a(filter, not2)) -> c13(A(filter, not2), ENCARG(filter))
   ENCARG(cons_a(nil, not2)) -> c13(A(nil, not2), ENCARG(nil))
   ENCARG(cons_a(cons, not2)) -> c13(A(cons, not2), ENCARG(cons))
   ENCARG(cons_a(if, not2)) -> c13(A(if, not2), ENCARG(if))
   ENCARG(cons_a(not, not2)) -> c13(A(not, not2), ENCARG(not))
   ENCARG(cons_a(not2, not2)) -> c13(A(not2, not2), ENCARG(not2))
   ENCARG(cons_a(sieve, not2)) -> c13(A(sieve, not2), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), not2)) -> c13(A(a(encArg(z0), encArg(z1)), not2), ENCARG(cons_a(z0, z1)))

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

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   ENCARG(cons_a(divides, not2)) -> c13(A(divides, not2), ENCARG(divides))
   ENCARG(cons_a(0, not2)) -> c13(A(0, not2), ENCARG(0))
   ENCARG(cons_a(s, not2)) -> c13(A(s, not2), ENCARG(s))
   ENCARG(cons_a(true, not2)) -> c13(A(true, not2), ENCARG(true))
   ENCARG(cons_a(div2, not2)) -> c13(A(div2, not2), ENCARG(div2))
   ENCARG(cons_a(false, not2)) -> c13(A(false, not2), ENCARG(false))
   ENCARG(cons_a(filter, not2)) -> c13(A(filter, not2), ENCARG(filter))
   ENCARG(cons_a(nil, not2)) -> c13(A(nil, not2), ENCARG(nil))
   ENCARG(cons_a(cons, not2)) -> c13(A(cons, not2), ENCARG(cons))
   ENCARG(cons_a(if, not2)) -> c13(A(if, not2), ENCARG(if))
   ENCARG(cons_a(not, not2)) -> c13(A(not, not2), ENCARG(not))
   ENCARG(cons_a(not2, not2)) -> c13(A(not2, not2), ENCARG(not2))
   ENCARG(cons_a(sieve, not2)) -> c13(A(sieve, not2), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(127) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing nodes:
   ENCARG(cons_a(if, not2)) -> c13(A(if, not2), ENCARG(if))
   ENCARG(cons_a(cons, not2)) -> c13(A(cons, not2), ENCARG(cons))
   ENCARG(cons_a(sieve, not2)) -> c13(A(sieve, not2), ENCARG(sieve))
   ENCARG(cons_a(0, not2)) -> c13(A(0, not2), ENCARG(0))
   ENCARG(cons_a(not, not2)) -> c13(A(not, not2), ENCARG(not))
   ENCARG(cons_a(not2, not2)) -> c13(A(not2, not2), ENCARG(not2))
   ENCARG(cons_a(nil, not2)) -> c13(A(nil, not2), ENCARG(nil))
   ENCARG(cons_a(true, not2)) -> c13(A(true, not2), ENCARG(true))
   ENCARG(cons_a(divides, not2)) -> c13(A(divides, not2), ENCARG(divides))
   ENCARG(cons_a(filter, not2)) -> c13(A(filter, not2), ENCARG(filter))
   ENCARG(cons_a(div2, not2)) -> c13(A(div2, not2), ENCARG(div2))
   ENCARG(cons_a(s, not2)) -> c13(A(s, not2), ENCARG(s))
   ENCARG(cons_a(false, not2)) -> c13(A(false, not2), ENCARG(false))

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

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0))
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_2, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(129) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(x0, sieve)) -> c13(A(encArg(x0), sieve), ENCARG(x0)) by 
   ENCARG(cons_a(divides, sieve)) -> c13(A(divides, sieve), ENCARG(divides))
   ENCARG(cons_a(0, sieve)) -> c13(A(0, sieve), ENCARG(0))
   ENCARG(cons_a(s, sieve)) -> c13(A(s, sieve), ENCARG(s))
   ENCARG(cons_a(true, sieve)) -> c13(A(true, sieve), ENCARG(true))
   ENCARG(cons_a(div2, sieve)) -> c13(A(div2, sieve), ENCARG(div2))
   ENCARG(cons_a(false, sieve)) -> c13(A(false, sieve), ENCARG(false))
   ENCARG(cons_a(filter, sieve)) -> c13(A(filter, sieve), ENCARG(filter))
   ENCARG(cons_a(nil, sieve)) -> c13(A(nil, sieve), ENCARG(nil))
   ENCARG(cons_a(cons, sieve)) -> c13(A(cons, sieve), ENCARG(cons))
   ENCARG(cons_a(if, sieve)) -> c13(A(if, sieve), ENCARG(if))
   ENCARG(cons_a(not, sieve)) -> c13(A(not, sieve), ENCARG(not))
   ENCARG(cons_a(not2, sieve)) -> c13(A(not2, sieve), ENCARG(not2))
   ENCARG(cons_a(sieve, sieve)) -> c13(A(sieve, sieve), ENCARG(sieve))
   ENCARG(cons_a(cons_a(z0, z1), sieve)) -> c13(A(a(encArg(z0), encArg(z1)), sieve), ENCARG(cons_a(z0, z1)))

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

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   ENCARG(cons_a(divides, sieve)) -> c13(A(divides, sieve), ENCARG(divides))
   ENCARG(cons_a(0, sieve)) -> c13(A(0, sieve), ENCARG(0))
   ENCARG(cons_a(s, sieve)) -> c13(A(s, sieve), ENCARG(s))
   ENCARG(cons_a(true, sieve)) -> c13(A(true, sieve), ENCARG(true))
   ENCARG(cons_a(div2, sieve)) -> c13(A(div2, sieve), ENCARG(div2))
   ENCARG(cons_a(false, sieve)) -> c13(A(false, sieve), ENCARG(false))
   ENCARG(cons_a(filter, sieve)) -> c13(A(filter, sieve), ENCARG(filter))
   ENCARG(cons_a(nil, sieve)) -> c13(A(nil, sieve), ENCARG(nil))
   ENCARG(cons_a(cons, sieve)) -> c13(A(cons, sieve), ENCARG(cons))
   ENCARG(cons_a(if, sieve)) -> c13(A(if, sieve), ENCARG(if))
   ENCARG(cons_a(not, sieve)) -> c13(A(not, sieve), ENCARG(not))
   ENCARG(cons_a(not2, sieve)) -> c13(A(not2, sieve), ENCARG(not2))
   ENCARG(cons_a(sieve, sieve)) -> c13(A(sieve, sieve), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c13_2, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(131) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing nodes:
   ENCARG(cons_a(div2, sieve)) -> c13(A(div2, sieve), ENCARG(div2))
   ENCARG(cons_a(0, sieve)) -> c13(A(0, sieve), ENCARG(0))
   ENCARG(cons_a(cons, sieve)) -> c13(A(cons, sieve), ENCARG(cons))
   ENCARG(cons_a(sieve, sieve)) -> c13(A(sieve, sieve), ENCARG(sieve))
   ENCARG(cons_a(nil, sieve)) -> c13(A(nil, sieve), ENCARG(nil))
   ENCARG(cons_a(true, sieve)) -> c13(A(true, sieve), ENCARG(true))
   ENCARG(cons_a(not, sieve)) -> c13(A(not, sieve), ENCARG(not))
   ENCARG(cons_a(false, sieve)) -> c13(A(false, sieve), ENCARG(false))
   ENCARG(cons_a(if, sieve)) -> c13(A(if, sieve), ENCARG(if))
   ENCARG(cons_a(filter, sieve)) -> c13(A(filter, sieve), ENCARG(filter))
   ENCARG(cons_a(s, sieve)) -> c13(A(s, sieve), ENCARG(s))
   ENCARG(cons_a(divides, sieve)) -> c13(A(divides, sieve), ENCARG(divides))
   ENCARG(cons_a(not2, sieve)) -> c13(A(not2, sieve), ENCARG(not2))

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

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c13_2, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(133) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(not2, x1)) -> c13(A(not2, encArg(x1)), ENCARG(x1)) by 
   ENCARG(cons_a(not2, divides)) -> c13(A(not2, divides), ENCARG(divides))
   ENCARG(cons_a(not2, 0)) -> c13(A(not2, 0), ENCARG(0))
   ENCARG(cons_a(not2, s)) -> c13(A(not2, s), ENCARG(s))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true), ENCARG(true))
   ENCARG(cons_a(not2, div2)) -> c13(A(not2, div2), ENCARG(div2))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false), ENCARG(false))
   ENCARG(cons_a(not2, filter)) -> c13(A(not2, filter), ENCARG(filter))
   ENCARG(cons_a(not2, nil)) -> c13(A(not2, nil), ENCARG(nil))
   ENCARG(cons_a(not2, cons)) -> c13(A(not2, cons), ENCARG(cons))
   ENCARG(cons_a(not2, if)) -> c13(A(not2, if), ENCARG(if))
   ENCARG(cons_a(not2, not)) -> c13(A(not2, not), ENCARG(not))
   ENCARG(cons_a(not2, not2)) -> c13(A(not2, not2), ENCARG(not2))
   ENCARG(cons_a(not2, sieve)) -> c13(A(not2, sieve), ENCARG(sieve))
   ENCARG(cons_a(not2, cons_a(z0, z1))) -> c13(A(not2, a(encArg(z0), encArg(z1))), ENCARG(cons_a(z0, z1)))

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

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   ENCARG(cons_a(not2, divides)) -> c13(A(not2, divides), ENCARG(divides))
   ENCARG(cons_a(not2, 0)) -> c13(A(not2, 0), ENCARG(0))
   ENCARG(cons_a(not2, s)) -> c13(A(not2, s), ENCARG(s))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true), ENCARG(true))
   ENCARG(cons_a(not2, div2)) -> c13(A(not2, div2), ENCARG(div2))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false), ENCARG(false))
   ENCARG(cons_a(not2, filter)) -> c13(A(not2, filter), ENCARG(filter))
   ENCARG(cons_a(not2, nil)) -> c13(A(not2, nil), ENCARG(nil))
   ENCARG(cons_a(not2, cons)) -> c13(A(not2, cons), ENCARG(cons))
   ENCARG(cons_a(not2, if)) -> c13(A(not2, if), ENCARG(if))
   ENCARG(cons_a(not2, not)) -> c13(A(not2, not), ENCARG(not))
   ENCARG(cons_a(not2, not2)) -> c13(A(not2, not2), ENCARG(not2))
   ENCARG(cons_a(not2, sieve)) -> c13(A(not2, sieve), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c13_2, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(135) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 11 trailing nodes:
   ENCARG(cons_a(not2, sieve)) -> c13(A(not2, sieve), ENCARG(sieve))
   ENCARG(cons_a(not2, div2)) -> c13(A(not2, div2), ENCARG(div2))
   ENCARG(cons_a(not2, divides)) -> c13(A(not2, divides), ENCARG(divides))
   ENCARG(cons_a(not2, if)) -> c13(A(not2, if), ENCARG(if))
   ENCARG(cons_a(not2, cons)) -> c13(A(not2, cons), ENCARG(cons))
   ENCARG(cons_a(not2, not)) -> c13(A(not2, not), ENCARG(not))
   ENCARG(cons_a(not2, nil)) -> c13(A(not2, nil), ENCARG(nil))
   ENCARG(cons_a(not2, s)) -> c13(A(not2, s), ENCARG(s))
   ENCARG(cons_a(not2, not2)) -> c13(A(not2, not2), ENCARG(not2))
   ENCARG(cons_a(not2, filter)) -> c13(A(not2, filter), ENCARG(filter))
   ENCARG(cons_a(not2, 0)) -> c13(A(not2, 0), ENCARG(0))

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

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true), ENCARG(true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false), ENCARG(false))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c13_2, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

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

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c13_2, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3


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

(139) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(sieve, x1)) -> c13(A(sieve, encArg(x1)), ENCARG(x1)) by 
   ENCARG(cons_a(sieve, divides)) -> c13(A(sieve, divides), ENCARG(divides))
   ENCARG(cons_a(sieve, 0)) -> c13(A(sieve, 0), ENCARG(0))
   ENCARG(cons_a(sieve, s)) -> c13(A(sieve, s), ENCARG(s))
   ENCARG(cons_a(sieve, true)) -> c13(A(sieve, true), ENCARG(true))
   ENCARG(cons_a(sieve, div2)) -> c13(A(sieve, div2), ENCARG(div2))
   ENCARG(cons_a(sieve, false)) -> c13(A(sieve, false), ENCARG(false))
   ENCARG(cons_a(sieve, filter)) -> c13(A(sieve, filter), ENCARG(filter))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil), ENCARG(nil))
   ENCARG(cons_a(sieve, cons)) -> c13(A(sieve, cons), ENCARG(cons))
   ENCARG(cons_a(sieve, if)) -> c13(A(sieve, if), ENCARG(if))
   ENCARG(cons_a(sieve, not)) -> c13(A(sieve, not), ENCARG(not))
   ENCARG(cons_a(sieve, not2)) -> c13(A(sieve, not2), ENCARG(not2))
   ENCARG(cons_a(sieve, sieve)) -> c13(A(sieve, sieve), ENCARG(sieve))
   ENCARG(cons_a(sieve, cons_a(z0, z1))) -> c13(A(sieve, a(encArg(z0), encArg(z1))), ENCARG(cons_a(z0, z1)))

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

(140)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   ENCARG(cons_a(sieve, divides)) -> c13(A(sieve, divides), ENCARG(divides))
   ENCARG(cons_a(sieve, 0)) -> c13(A(sieve, 0), ENCARG(0))
   ENCARG(cons_a(sieve, s)) -> c13(A(sieve, s), ENCARG(s))
   ENCARG(cons_a(sieve, true)) -> c13(A(sieve, true), ENCARG(true))
   ENCARG(cons_a(sieve, div2)) -> c13(A(sieve, div2), ENCARG(div2))
   ENCARG(cons_a(sieve, false)) -> c13(A(sieve, false), ENCARG(false))
   ENCARG(cons_a(sieve, filter)) -> c13(A(sieve, filter), ENCARG(filter))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil), ENCARG(nil))
   ENCARG(cons_a(sieve, cons)) -> c13(A(sieve, cons), ENCARG(cons))
   ENCARG(cons_a(sieve, if)) -> c13(A(sieve, if), ENCARG(if))
   ENCARG(cons_a(sieve, not)) -> c13(A(sieve, not), ENCARG(not))
   ENCARG(cons_a(sieve, not2)) -> c13(A(sieve, not2), ENCARG(not2))
   ENCARG(cons_a(sieve, sieve)) -> c13(A(sieve, sieve), ENCARG(sieve))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2


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

(141) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 12 trailing nodes:
   ENCARG(cons_a(sieve, if)) -> c13(A(sieve, if), ENCARG(if))
   ENCARG(cons_a(sieve, filter)) -> c13(A(sieve, filter), ENCARG(filter))
   ENCARG(cons_a(sieve, not)) -> c13(A(sieve, not), ENCARG(not))
   ENCARG(cons_a(sieve, false)) -> c13(A(sieve, false), ENCARG(false))
   ENCARG(cons_a(sieve, div2)) -> c13(A(sieve, div2), ENCARG(div2))
   ENCARG(cons_a(sieve, s)) -> c13(A(sieve, s), ENCARG(s))
   ENCARG(cons_a(sieve, cons)) -> c13(A(sieve, cons), ENCARG(cons))
   ENCARG(cons_a(sieve, 0)) -> c13(A(sieve, 0), ENCARG(0))
   ENCARG(cons_a(sieve, true)) -> c13(A(sieve, true), ENCARG(true))
   ENCARG(cons_a(sieve, sieve)) -> c13(A(sieve, sieve), ENCARG(sieve))
   ENCARG(cons_a(sieve, not2)) -> c13(A(sieve, not2), ENCARG(not2))
   ENCARG(cons_a(sieve, divides)) -> c13(A(sieve, divides), ENCARG(divides))

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

(142)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil), ENCARG(nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2


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

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

(144)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2


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

(145) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(not, a(filter, z0)), a(a(cons, z1), z2)) -> c37(A(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(a(filter, z0), a(a(cons, z1), z2))) by 
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x2))), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(not2, a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(not2, a(a(a(if, nil), nil), a(a(filter, sieve), x2))), A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x2))), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))

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

(146)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x2))), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(not2, a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(not2, a(a(a(if, nil), nil), a(a(filter, sieve), x2))), A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x2))), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x2))), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(not2, a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(not2, a(a(a(if, nil), nil), a(a(filter, sieve), x2))), A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x2))), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2


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

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

(148)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_2, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2


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

(149) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(not, a(not, z0)), z1) -> c37(A(not2, a(not2, a(z0, z1))), A(a(not, z0), z1)) by 
   A(a(not, a(not, not2)), true) -> c37(A(not2, a(not2, false)), A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c37(A(not2, a(not2, true)), A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c37(A(not2, a(not2, true)), A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c37(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c37(A(not2, a(not2, a(a(divides, z0), z1))), A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c37(A(not2, a(not2, false)), A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c37(A(not2, a(not2, a(a(a(div2, z0), z1), z2))), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(not2, a(not2, nil)), A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(not2, a(not2, a(a(cons, z0), z1))), A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c37(A(not2, a(not2, z1)), A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(not2, a(not2, nil)), A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(not2, a(not2, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1))))), A(a(not, sieve), a(a(cons, z0), z1)))

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

(150)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, not2)), true) -> c37(A(not2, a(not2, false)), A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c37(A(not2, a(not2, true)), A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c37(A(not2, a(not2, true)), A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c37(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c37(A(not2, a(not2, a(a(divides, z0), z1))), A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c37(A(not2, a(not2, false)), A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c37(A(not2, a(not2, a(a(a(div2, z0), z1), z2))), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(not2, a(not2, nil)), A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(not2, a(not2, a(a(cons, z0), z1))), A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c37(A(not2, a(not2, z1)), A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(not2, a(not2, nil)), A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(not2, a(not2, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1))))), A(a(not, sieve), a(a(cons, z0), z1)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, not2)), true) -> c37(A(not2, a(not2, false)), A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c37(A(not2, a(not2, true)), A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c37(A(not2, a(not2, true)), A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c37(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c37(A(not2, a(not2, a(a(divides, z0), z1))), A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c37(A(not2, a(not2, false)), A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c37(A(not2, a(not2, a(a(a(div2, z0), z1), z2))), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(not2, a(not2, nil)), A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(not2, a(not2, a(a(cons, z0), z1))), A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c37(A(not2, a(not2, z1)), A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(not2, a(not2, nil)), A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(not2, a(not2, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1))))), A(a(not, sieve), a(a(cons, z0), z1)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2


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

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

(152)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, not2)), true) -> c37(A(not2, a(not2, false)), A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c37(A(not2, a(not2, true)), A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c37(A(not2, a(not2, true)), A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c37(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c37(A(not2, a(not2, a(a(divides, z0), z1))), A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c37(A(not2, a(not2, false)), A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c37(A(not2, a(not2, a(a(a(div2, z0), z1), z2))), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c37(A(not2, a(not2, z1)), A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, not2)), true) -> c37(A(not2, a(not2, false)), A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c37(A(not2, a(not2, true)), A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c37(A(not2, a(not2, true)), A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c37(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c37(A(not2, a(not2, a(a(divides, z0), z1))), A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c37(A(not2, a(not2, false)), A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c37(A(not2, a(not2, a(a(a(div2, z0), z1), z2))), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c37(A(not2, a(not2, z1)), A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2


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

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

(154)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1


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

(155) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1))) by 
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))

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

(156)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1


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

(157) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(not2, a(a(divides, z0), z1))) by 
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))

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

(158)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1


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

(159) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(not2, a(a(a(div2, z0), z1), z2))) by 
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))

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

(160)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1


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

(161) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(filter, z0), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(z0, x1)), x1), nil), A(z0, x1), A(a(filter, z0), nil)) by 
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c34(A(a(a(if, true), a(s, z0)), nil), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), nil), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c34(A(a(a(if, false), a(s, z1)), nil), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c34(A(a(a(if, nil), nil), nil), A(a(filter, z0), nil), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(a(cons, z0), z1)), z1), nil), A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, z1), z1), nil), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c34(A(a(a(if, false), true), nil), A(not2, true), A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c34(A(a(a(if, true), false), nil), A(not2, false), A(a(filter, not2), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c34(A(a(a(if, nil), nil), nil), A(sieve, nil), A(a(filter, sieve), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), nil), A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))

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

(162)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c34(A(a(a(if, true), a(s, z0)), nil), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), nil), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c34(A(a(a(if, false), a(s, z1)), nil), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c34(A(a(a(if, nil), nil), nil), A(a(filter, z0), nil), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(a(cons, z0), z1)), z1), nil), A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, z1), z1), nil), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c34(A(a(a(if, false), true), nil), A(not2, true), A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c34(A(a(a(if, true), false), nil), A(not2, false), A(a(filter, not2), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c34(A(a(a(if, nil), nil), nil), A(sieve, nil), A(a(filter, sieve), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), nil), A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c34(A(a(a(if, true), a(s, z0)), nil), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), nil), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c34(A(a(a(if, false), a(s, z1)), nil), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c34(A(a(a(if, nil), nil), nil), A(a(filter, z0), nil), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(a(cons, z0), z1)), z1), nil), A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, z1), z1), nil), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c34(A(a(a(if, false), true), nil), A(not2, true), A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c34(A(a(a(if, true), false), nil), A(not2, false), A(a(filter, not2), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c34(A(a(a(if, nil), nil), nil), A(sieve, nil), A(a(filter, sieve), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), nil), A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1


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

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

(164)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c34(A(a(a(if, true), a(s, z0)), nil), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), nil), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c34(A(a(a(if, false), a(s, z1)), nil), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, z1), z1), nil), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c34(A(a(a(if, false), true), nil), A(not2, true), A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c34(A(a(a(if, true), false), nil), A(not2, false), A(a(filter, not2), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c34(A(sieve, nil), A(a(filter, sieve), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c34(A(a(a(if, true), a(s, z0)), nil), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), nil), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c34(A(a(a(if, false), a(s, z1)), nil), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, z1), z1), nil), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c34(A(a(a(if, false), true), nil), A(not2, true), A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c34(A(a(a(if, true), false), nil), A(not2, false), A(a(filter, not2), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c34(A(sieve, nil), A(a(filter, sieve), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1


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

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

(166)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1


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

(167) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), A(z0, x1), A(a(filter, z0), a(a(cons, z1), z2))) by 
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(a(if, nil), nil), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(cons, z0), z1)), z1), a(a(a(if, a(a(a(if, true), z0), x2)), x2), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(a(if, nil), nil), a(a(a(if, a(sieve, x2)), x2), a(a(filter, sieve), x3))), A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(a(if, a(sieve, x2)), x2), a(a(filter, sieve), x3))), A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))

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

(168)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(a(if, nil), nil), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(cons, z0), z1)), z1), a(a(a(if, a(a(a(if, true), z0), x2)), x2), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(a(if, nil), nil), a(a(a(if, a(sieve, x2)), x2), a(a(filter, sieve), x3))), A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(a(if, a(sieve, x2)), x2), a(a(filter, sieve), x3))), A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(a(if, nil), nil), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(cons, z0), z1)), z1), a(a(a(if, a(a(a(if, true), z0), x2)), x2), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(a(if, nil), nil), a(a(a(if, a(sieve, x2)), x2), a(a(filter, sieve), x3))), A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(a(if, a(sieve, x2)), x2), a(a(filter, sieve), x3))), A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1


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

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

(170)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1


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

(171) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), x2)) by 
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c34(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil), A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), a(a(a(if, a(a(divides, a(s, x0)), z1)), z1), a(a(filter, a(divides, a(s, x0))), z2))), A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), a(a(cons, z1), z2)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))

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

(172)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c34(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil), A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c34(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil), A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1


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

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

(174)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1


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

(175) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2)), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), x2)) by 
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c34(A(a(a(if, a(a(divides, x0), x1)), 0), nil), A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(a(divides, x0), x1)), 0), a(a(a(if, a(a(a(div2, x0), x1), z1)), z1), a(a(filter, a(a(div2, x0), x1)), z2))), A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), a(a(cons, z1), z2)))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))

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

(176)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c34(A(a(a(if, a(a(divides, x0), x1)), 0), nil), A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c34(A(a(a(if, a(a(divides, x0), x1)), 0), nil), A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1


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

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

(178)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1, c6_1


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

(179) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2)), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), x2)) by 
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c34(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil), A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), a(a(a(if, a(a(a(div2, a(s, x0)), x1), z1)), z1), a(a(filter, a(a(div2, a(s, x0)), x1)), z2))), A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, z1), z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))

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

(180)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c34(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil), A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c34(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil), A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1, c6_1


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

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

(182)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1, c6_1, c7_1


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

(183) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2)), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), x2)) by 
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(x0, x1)), x1), a(a(filter, x0), x2))), a(a(cons, x1), x2)), nil), A(a(filter, x0), a(a(cons, x1), x2)), A(a(filter, a(filter, x0)), nil))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(a(a(if, a(x0, x1)), x1), a(a(filter, x0), x2))), a(a(cons, x1), x2)), a(a(a(if, a(a(filter, x0), z1)), z1), a(a(filter, a(filter, x0)), z2))), A(a(filter, x0), a(a(cons, x1), x2)), A(a(filter, a(filter, x0)), a(a(cons, z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, true), z0))), x3)), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x2))), a(a(cons, nil), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, nil), nil), a(a(filter, sieve), x2))), a(a(cons, nil), x2)), a(a(filter, a(filter, sieve)), x3)), A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x2))), a(a(cons, a(a(cons, z0), z1)), x2)), a(a(filter, a(filter, sieve)), x3)), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))

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

(184)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, true), z0))), x3)), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x2))), a(a(cons, nil), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, nil), nil), a(a(filter, sieve), x2))), a(a(cons, nil), x2)), a(a(filter, a(filter, sieve)), x3)), A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x2))), a(a(cons, a(a(cons, z0), z1)), x2)), a(a(filter, a(filter, sieve)), x3)), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, true), z0))), x3)), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x2))), a(a(cons, nil), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, nil), nil), a(a(filter, sieve), x2))), a(a(cons, nil), x2)), a(a(filter, a(filter, sieve)), x3)), A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x2))), a(a(cons, a(a(cons, z0), z1)), x2)), a(a(filter, a(filter, sieve)), x3)), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1, c6_1, c7_1


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

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

(186)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1, c6_1, c7_1


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

(187) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(a(filter, a(not, z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2)), A(a(not, z0), z1), A(a(filter, a(not, z0)), x2)) by 
   A(a(filter, a(not, x0)), a(a(cons, x1), nil)) -> c34(A(a(a(if, a(not2, a(x0, x1))), x1), nil), A(a(not, x0), x1), A(a(filter, a(not, x0)), nil))
   A(a(filter, a(not, x0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c34(A(a(a(if, a(not2, a(x0, x1))), x1), a(a(a(if, a(a(not, x0), z1)), z1), a(a(filter, a(not, x0)), z2))), A(a(not, x0), x1), A(a(filter, a(not, x0)), a(a(cons, z1), z2)))
   A(a(filter, a(not, not2)), a(a(cons, true), x2)) -> c34(A(a(a(if, a(not2, false)), true), a(a(filter, a(not, not2)), x2)), A(a(not, not2), true), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, not2)), a(a(cons, false), x2)) -> c34(A(a(a(if, a(not2, true)), false), a(a(filter, a(not, not2)), x2)), A(a(not, not2), false), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, a(not2, true)), a(s, z0)), a(a(filter, a(not, a(divides, 0))), x2)), A(a(not, a(divides, 0)), a(s, z0)), A(a(filter, a(not, a(divides, 0))), x2))
   A(a(filter, a(not, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), a(s, z1)), a(a(filter, a(not, a(divides, a(s, z0)))), x2)), A(a(not, a(divides, a(s, z0))), a(s, z1)), A(a(filter, a(not, a(divides, a(s, z0)))), x2))
   A(a(filter, a(not, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(not2, a(a(divides, z0), z1))), 0), a(a(filter, a(not, a(a(div2, z0), z1))), x2)), A(a(not, a(a(div2, z0), z1)), 0), A(a(filter, a(not, a(a(div2, z0), z1))), x2))
   A(a(filter, a(not, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, false)), a(s, z1)), a(a(filter, a(not, a(a(div2, 0), z0))), x2)), A(a(not, a(a(div2, 0), z0)), a(s, z1)), A(a(filter, a(not, a(a(div2, 0), z0))), x2))
   A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), z1), z2))), a(s, z2)), a(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2)), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)), A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, nil), x2)) -> c34(A(a(a(if, a(not2, nil)), nil), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), nil), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, z1), z2)), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), a(a(cons, z1), z2)), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(a(cons, z0), z1))), z1), a(a(filter, a(not, a(a(if, true), z0))), x2)), A(a(not, a(a(if, true), z0)), z1), A(a(filter, a(not, a(a(if, true), z0))), x2))
   A(a(filter, a(not, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, z1)), z1), a(a(filter, a(not, a(a(if, false), z0))), x2)), A(a(not, a(a(if, false), z0)), z1), A(a(filter, a(not, a(a(if, false), z0))), x2))
   A(a(filter, a(not, a(not, z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(not2, a(z0, z1)))), z1), a(a(filter, a(not, a(not, z0))), x2)), A(a(not, a(not, z0)), z1), A(a(filter, a(not, a(not, z0))), x2))
   A(a(filter, a(not, sieve)), a(a(cons, nil), x2)) -> c34(A(a(a(if, a(not2, nil)), nil), a(a(filter, a(not, sieve)), x2)), A(a(not, sieve), nil), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1))))), a(a(cons, z0), z1)), a(a(filter, a(not, sieve)), x2)), A(a(not, sieve), a(a(cons, z0), z1)), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, x0)), a(a(cons, x1), x2)) -> c34(A(a(filter, a(not, x0)), x2))

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

(188)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(not, not2)), a(a(cons, true), x2)) -> c34(A(a(a(if, a(not2, false)), true), a(a(filter, a(not, not2)), x2)), A(a(not, not2), true), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, not2)), a(a(cons, false), x2)) -> c34(A(a(a(if, a(not2, true)), false), a(a(filter, a(not, not2)), x2)), A(a(not, not2), false), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, a(not2, true)), a(s, z0)), a(a(filter, a(not, a(divides, 0))), x2)), A(a(not, a(divides, 0)), a(s, z0)), A(a(filter, a(not, a(divides, 0))), x2))
   A(a(filter, a(not, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), a(s, z1)), a(a(filter, a(not, a(divides, a(s, z0)))), x2)), A(a(not, a(divides, a(s, z0))), a(s, z1)), A(a(filter, a(not, a(divides, a(s, z0)))), x2))
   A(a(filter, a(not, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(not2, a(a(divides, z0), z1))), 0), a(a(filter, a(not, a(a(div2, z0), z1))), x2)), A(a(not, a(a(div2, z0), z1)), 0), A(a(filter, a(not, a(a(div2, z0), z1))), x2))
   A(a(filter, a(not, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, false)), a(s, z1)), a(a(filter, a(not, a(a(div2, 0), z0))), x2)), A(a(not, a(a(div2, 0), z0)), a(s, z1)), A(a(filter, a(not, a(a(div2, 0), z0))), x2))
   A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), z1), z2))), a(s, z2)), a(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2)), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)), A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, nil), x2)) -> c34(A(a(a(if, a(not2, nil)), nil), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), nil), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, z1), z2)), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), a(a(cons, z1), z2)), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(a(cons, z0), z1))), z1), a(a(filter, a(not, a(a(if, true), z0))), x2)), A(a(not, a(a(if, true), z0)), z1), A(a(filter, a(not, a(a(if, true), z0))), x2))
   A(a(filter, a(not, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, z1)), z1), a(a(filter, a(not, a(a(if, false), z0))), x2)), A(a(not, a(a(if, false), z0)), z1), A(a(filter, a(not, a(a(if, false), z0))), x2))
   A(a(filter, a(not, a(not, z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(not2, a(z0, z1)))), z1), a(a(filter, a(not, a(not, z0))), x2)), A(a(not, a(not, z0)), z1), A(a(filter, a(not, a(not, z0))), x2))
   A(a(filter, a(not, sieve)), a(a(cons, nil), x2)) -> c34(A(a(a(if, a(not2, nil)), nil), a(a(filter, a(not, sieve)), x2)), A(a(not, sieve), nil), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1))))), a(a(cons, z0), z1)), a(a(filter, a(not, sieve)), x2)), A(a(not, sieve), a(a(cons, z0), z1)), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, x0)), a(a(cons, x1), x2)) -> c34(A(a(filter, a(not, x0)), x2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(not, not2)), a(a(cons, true), x2)) -> c34(A(a(a(if, a(not2, false)), true), a(a(filter, a(not, not2)), x2)), A(a(not, not2), true), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, not2)), a(a(cons, false), x2)) -> c34(A(a(a(if, a(not2, true)), false), a(a(filter, a(not, not2)), x2)), A(a(not, not2), false), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, a(not2, true)), a(s, z0)), a(a(filter, a(not, a(divides, 0))), x2)), A(a(not, a(divides, 0)), a(s, z0)), A(a(filter, a(not, a(divides, 0))), x2))
   A(a(filter, a(not, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), a(s, z1)), a(a(filter, a(not, a(divides, a(s, z0)))), x2)), A(a(not, a(divides, a(s, z0))), a(s, z1)), A(a(filter, a(not, a(divides, a(s, z0)))), x2))
   A(a(filter, a(not, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(not2, a(a(divides, z0), z1))), 0), a(a(filter, a(not, a(a(div2, z0), z1))), x2)), A(a(not, a(a(div2, z0), z1)), 0), A(a(filter, a(not, a(a(div2, z0), z1))), x2))
   A(a(filter, a(not, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, false)), a(s, z1)), a(a(filter, a(not, a(a(div2, 0), z0))), x2)), A(a(not, a(a(div2, 0), z0)), a(s, z1)), A(a(filter, a(not, a(a(div2, 0), z0))), x2))
   A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), z1), z2))), a(s, z2)), a(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2)), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)), A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, nil), x2)) -> c34(A(a(a(if, a(not2, nil)), nil), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), nil), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, z1), z2)), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), a(a(cons, z1), z2)), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(a(cons, z0), z1))), z1), a(a(filter, a(not, a(a(if, true), z0))), x2)), A(a(not, a(a(if, true), z0)), z1), A(a(filter, a(not, a(a(if, true), z0))), x2))
   A(a(filter, a(not, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, z1)), z1), a(a(filter, a(not, a(a(if, false), z0))), x2)), A(a(not, a(a(if, false), z0)), z1), A(a(filter, a(not, a(a(if, false), z0))), x2))
   A(a(filter, a(not, a(not, z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(not2, a(z0, z1)))), z1), a(a(filter, a(not, a(not, z0))), x2)), A(a(not, a(not, z0)), z1), A(a(filter, a(not, a(not, z0))), x2))
   A(a(filter, a(not, sieve)), a(a(cons, nil), x2)) -> c34(A(a(a(if, a(not2, nil)), nil), a(a(filter, a(not, sieve)), x2)), A(a(not, sieve), nil), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1))))), a(a(cons, z0), z1)), a(a(filter, a(not, sieve)), x2)), A(a(not, sieve), a(a(cons, z0), z1)), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, x0)), a(a(cons, x1), x2)) -> c34(A(a(filter, a(not, x0)), x2))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1, c6_1, c7_1


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

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

(190)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(not, not2)), a(a(cons, true), x2)) -> c34(A(a(a(if, a(not2, false)), true), a(a(filter, a(not, not2)), x2)), A(a(not, not2), true), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, not2)), a(a(cons, false), x2)) -> c34(A(a(a(if, a(not2, true)), false), a(a(filter, a(not, not2)), x2)), A(a(not, not2), false), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, a(not2, true)), a(s, z0)), a(a(filter, a(not, a(divides, 0))), x2)), A(a(not, a(divides, 0)), a(s, z0)), A(a(filter, a(not, a(divides, 0))), x2))
   A(a(filter, a(not, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), a(s, z1)), a(a(filter, a(not, a(divides, a(s, z0)))), x2)), A(a(not, a(divides, a(s, z0))), a(s, z1)), A(a(filter, a(not, a(divides, a(s, z0)))), x2))
   A(a(filter, a(not, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(not2, a(a(divides, z0), z1))), 0), a(a(filter, a(not, a(a(div2, z0), z1))), x2)), A(a(not, a(a(div2, z0), z1)), 0), A(a(filter, a(not, a(a(div2, z0), z1))), x2))
   A(a(filter, a(not, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, false)), a(s, z1)), a(a(filter, a(not, a(a(div2, 0), z0))), x2)), A(a(not, a(a(div2, 0), z0)), a(s, z1)), A(a(filter, a(not, a(a(div2, 0), z0))), x2))
   A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), z1), z2))), a(s, z2)), a(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2)), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)), A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, z1), z2)), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), a(a(cons, z1), z2)), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, z1)), z1), a(a(filter, a(not, a(a(if, false), z0))), x2)), A(a(not, a(a(if, false), z0)), z1), A(a(filter, a(not, a(a(if, false), z0))), x2))
   A(a(filter, a(not, a(not, z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(not2, a(z0, z1)))), z1), a(a(filter, a(not, a(not, z0))), x2)), A(a(not, a(not, z0)), z1), A(a(filter, a(not, a(not, z0))), x2))
   A(a(filter, a(not, x0)), a(a(cons, x1), x2)) -> c34(A(a(filter, a(not, x0)), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, nil), x2)) -> c34(A(a(not, a(filter, z0)), nil), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c34(A(a(not, a(a(if, true), z0)), z1), A(a(filter, a(not, a(a(if, true), z0))), x2))
   A(a(filter, a(not, sieve)), a(a(cons, nil), x2)) -> c34(A(a(not, sieve), nil), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(not, sieve), a(a(cons, z0), z1)), A(a(filter, a(not, sieve)), x2))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2)))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(not, not2)), a(a(cons, true), x2)) -> c34(A(a(a(if, a(not2, false)), true), a(a(filter, a(not, not2)), x2)), A(a(not, not2), true), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, not2)), a(a(cons, false), x2)) -> c34(A(a(a(if, a(not2, true)), false), a(a(filter, a(not, not2)), x2)), A(a(not, not2), false), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, a(not2, true)), a(s, z0)), a(a(filter, a(not, a(divides, 0))), x2)), A(a(not, a(divides, 0)), a(s, z0)), A(a(filter, a(not, a(divides, 0))), x2))
   A(a(filter, a(not, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), a(s, z1)), a(a(filter, a(not, a(divides, a(s, z0)))), x2)), A(a(not, a(divides, a(s, z0))), a(s, z1)), A(a(filter, a(not, a(divides, a(s, z0)))), x2))
   A(a(filter, a(not, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(not2, a(a(divides, z0), z1))), 0), a(a(filter, a(not, a(a(div2, z0), z1))), x2)), A(a(not, a(a(div2, z0), z1)), 0), A(a(filter, a(not, a(a(div2, z0), z1))), x2))
   A(a(filter, a(not, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, false)), a(s, z1)), a(a(filter, a(not, a(a(div2, 0), z0))), x2)), A(a(not, a(a(div2, 0), z0)), a(s, z1)), A(a(filter, a(not, a(a(div2, 0), z0))), x2))
   A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), z1), z2))), a(s, z2)), a(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2)), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)), A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, z1), z2)), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), a(a(cons, z1), z2)), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, z1)), z1), a(a(filter, a(not, a(a(if, false), z0))), x2)), A(a(not, a(a(if, false), z0)), z1), A(a(filter, a(not, a(a(if, false), z0))), x2))
   A(a(filter, a(not, a(not, z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(not2, a(z0, z1)))), z1), a(a(filter, a(not, a(not, z0))), x2)), A(a(not, a(not, z0)), z1), A(a(filter, a(not, a(not, z0))), x2))
   A(a(filter, a(not, x0)), a(a(cons, x1), x2)) -> c34(A(a(filter, a(not, x0)), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, nil), x2)) -> c34(A(a(not, a(filter, z0)), nil), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c34(A(a(not, a(a(if, true), z0)), z1), A(a(filter, a(not, a(a(if, true), z0))), x2))
   A(a(filter, a(not, sieve)), a(a(cons, nil), x2)) -> c34(A(a(not, sieve), nil), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(not, sieve), a(a(cons, z0), z1)), A(a(filter, a(not, sieve)), x2))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1, c6_1, c7_1


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

(191) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A(sieve, a(a(cons, x0), a(a(cons, z1), z2))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), z2))) by 
   A(sieve, a(a(cons, x0), a(a(cons, x1), nil))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), nil)), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), nil)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), a(a(cons, z1), z2)))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2)))), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), a(a(cons, z1), z2))))
   A(sieve, a(a(cons, x0), a(a(cons, z1), x2))) -> c41(A(sieve, a(a(a(if, a(not2, a(a(divides, x0), z1))), z1), a(a(filter, a(not, a(divides, x0))), x2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), x2)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), x2))) -> c41(A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), x2)))

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

(192)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, divides) -> c(A(encArg(x0), divides))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(not, not2)), a(a(cons, true), x2)) -> c34(A(a(a(if, a(not2, false)), true), a(a(filter, a(not, not2)), x2)), A(a(not, not2), true), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, not2)), a(a(cons, false), x2)) -> c34(A(a(a(if, a(not2, true)), false), a(a(filter, a(not, not2)), x2)), A(a(not, not2), false), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, a(not2, true)), a(s, z0)), a(a(filter, a(not, a(divides, 0))), x2)), A(a(not, a(divides, 0)), a(s, z0)), A(a(filter, a(not, a(divides, 0))), x2))
   A(a(filter, a(not, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), a(s, z1)), a(a(filter, a(not, a(divides, a(s, z0)))), x2)), A(a(not, a(divides, a(s, z0))), a(s, z1)), A(a(filter, a(not, a(divides, a(s, z0)))), x2))
   A(a(filter, a(not, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(not2, a(a(divides, z0), z1))), 0), a(a(filter, a(not, a(a(div2, z0), z1))), x2)), A(a(not, a(a(div2, z0), z1)), 0), A(a(filter, a(not, a(a(div2, z0), z1))), x2))
   A(a(filter, a(not, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, false)), a(s, z1)), a(a(filter, a(not, a(a(div2, 0), z0))), x2)), A(a(not, a(a(div2, 0), z0)), a(s, z1)), A(a(filter, a(not, a(a(div2, 0), z0))), x2))
   A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), z1), z2))), a(s, z2)), a(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2)), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)), A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, z1), z2)), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), a(a(cons, z1), z2)), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, z1)), z1), a(a(filter, a(not, a(a(if, false), z0))), x2)), A(a(not, a(a(if, false), z0)), z1), A(a(filter, a(not, a(a(if, false), z0))), x2))
   A(a(filter, a(not, a(not, z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(not2, a(z0, z1)))), z1), a(a(filter, a(not, a(not, z0))), x2)), A(a(not, a(not, z0)), z1), A(a(filter, a(not, a(not, z0))), x2))
   A(a(filter, a(not, x0)), a(a(cons, x1), x2)) -> c34(A(a(filter, a(not, x0)), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, nil), x2)) -> c34(A(a(not, a(filter, z0)), nil), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c34(A(a(not, a(a(if, true), z0)), z1), A(a(filter, a(not, a(a(if, true), z0))), x2))
   A(a(filter, a(not, sieve)), a(a(cons, nil), x2)) -> c34(A(a(not, sieve), nil), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(not, sieve), a(a(cons, z0), z1)), A(a(filter, a(not, sieve)), x2))
   A(sieve, a(a(cons, x0), a(a(cons, x1), nil))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), nil)), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), nil)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), a(a(cons, z1), z2)))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2)))), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), a(a(cons, z1), z2))))
   A(sieve, a(a(cons, x0), a(a(cons, z1), x2))) -> c41(A(sieve, a(a(a(if, a(not2, a(a(divides, x0), z1))), z1), a(a(filter, a(not, a(divides, x0))), x2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), x2)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), x2))) -> c41(A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), x2)))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(not, not2)), a(a(cons, true), x2)) -> c34(A(a(a(if, a(not2, false)), true), a(a(filter, a(not, not2)), x2)), A(a(not, not2), true), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, not2)), a(a(cons, false), x2)) -> c34(A(a(a(if, a(not2, true)), false), a(a(filter, a(not, not2)), x2)), A(a(not, not2), false), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, a(not2, true)), a(s, z0)), a(a(filter, a(not, a(divides, 0))), x2)), A(a(not, a(divides, 0)), a(s, z0)), A(a(filter, a(not, a(divides, 0))), x2))
   A(a(filter, a(not, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), a(s, z1)), a(a(filter, a(not, a(divides, a(s, z0)))), x2)), A(a(not, a(divides, a(s, z0))), a(s, z1)), A(a(filter, a(not, a(divides, a(s, z0)))), x2))
   A(a(filter, a(not, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(not2, a(a(divides, z0), z1))), 0), a(a(filter, a(not, a(a(div2, z0), z1))), x2)), A(a(not, a(a(div2, z0), z1)), 0), A(a(filter, a(not, a(a(div2, z0), z1))), x2))
   A(a(filter, a(not, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, false)), a(s, z1)), a(a(filter, a(not, a(a(div2, 0), z0))), x2)), A(a(not, a(a(div2, 0), z0)), a(s, z1)), A(a(filter, a(not, a(a(div2, 0), z0))), x2))
   A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), z1), z2))), a(s, z2)), a(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2)), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)), A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, z1), z2)), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), a(a(cons, z1), z2)), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, z1)), z1), a(a(filter, a(not, a(a(if, false), z0))), x2)), A(a(not, a(a(if, false), z0)), z1), A(a(filter, a(not, a(a(if, false), z0))), x2))
   A(a(filter, a(not, a(not, z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(not2, a(z0, z1)))), z1), a(a(filter, a(not, a(not, z0))), x2)), A(a(not, a(not, z0)), z1), A(a(filter, a(not, a(not, z0))), x2))
   A(a(filter, a(not, x0)), a(a(cons, x1), x2)) -> c34(A(a(filter, a(not, x0)), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, nil), x2)) -> c34(A(a(not, a(filter, z0)), nil), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c34(A(a(not, a(a(if, true), z0)), z1), A(a(filter, a(not, a(a(if, true), z0))), x2))
   A(a(filter, a(not, sieve)), a(a(cons, nil), x2)) -> c34(A(a(not, sieve), nil), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(not, sieve), a(a(cons, z0), z1)), A(a(filter, a(not, sieve)), x2))
   A(sieve, a(a(cons, x0), a(a(cons, x1), nil))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), nil)), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), nil)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), a(a(cons, z1), z2)))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2)))), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), a(a(cons, z1), z2))))
   A(sieve, a(a(cons, x0), a(a(cons, z1), x2))) -> c41(A(sieve, a(a(a(if, a(not2, a(a(divides, x0), z1))), z1), a(a(filter, a(not, a(divides, x0))), x2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), x2)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), x2))) -> c41(A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), x2)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1, c6_1, c7_1, c41_2


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

(193) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_A(x0, divides) -> c(A(encArg(x0), divides)) by 
   ENCODE_A(divides, divides) -> c(A(divides, divides))
   ENCODE_A(0, divides) -> c(A(0, divides))
   ENCODE_A(s, divides) -> c(A(s, divides))
   ENCODE_A(true, divides) -> c(A(true, divides))
   ENCODE_A(div2, divides) -> c(A(div2, divides))
   ENCODE_A(false, divides) -> c(A(false, divides))
   ENCODE_A(filter, divides) -> c(A(filter, divides))
   ENCODE_A(nil, divides) -> c(A(nil, divides))
   ENCODE_A(cons, divides) -> c(A(cons, divides))
   ENCODE_A(if, divides) -> c(A(if, divides))
   ENCODE_A(not, divides) -> c(A(not, divides))
   ENCODE_A(not2, divides) -> c(A(not2, divides))
   ENCODE_A(sieve, divides) -> c(A(sieve, divides))
   ENCODE_A(cons_a(z0, z1), divides) -> c(A(a(encArg(z0), encArg(z1)), divides))

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

(194)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(not, not2)), a(a(cons, true), x2)) -> c34(A(a(a(if, a(not2, false)), true), a(a(filter, a(not, not2)), x2)), A(a(not, not2), true), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, not2)), a(a(cons, false), x2)) -> c34(A(a(a(if, a(not2, true)), false), a(a(filter, a(not, not2)), x2)), A(a(not, not2), false), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, a(not2, true)), a(s, z0)), a(a(filter, a(not, a(divides, 0))), x2)), A(a(not, a(divides, 0)), a(s, z0)), A(a(filter, a(not, a(divides, 0))), x2))
   A(a(filter, a(not, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), a(s, z1)), a(a(filter, a(not, a(divides, a(s, z0)))), x2)), A(a(not, a(divides, a(s, z0))), a(s, z1)), A(a(filter, a(not, a(divides, a(s, z0)))), x2))
   A(a(filter, a(not, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(not2, a(a(divides, z0), z1))), 0), a(a(filter, a(not, a(a(div2, z0), z1))), x2)), A(a(not, a(a(div2, z0), z1)), 0), A(a(filter, a(not, a(a(div2, z0), z1))), x2))
   A(a(filter, a(not, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, false)), a(s, z1)), a(a(filter, a(not, a(a(div2, 0), z0))), x2)), A(a(not, a(a(div2, 0), z0)), a(s, z1)), A(a(filter, a(not, a(a(div2, 0), z0))), x2))
   A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), z1), z2))), a(s, z2)), a(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2)), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)), A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, z1), z2)), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), a(a(cons, z1), z2)), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, z1)), z1), a(a(filter, a(not, a(a(if, false), z0))), x2)), A(a(not, a(a(if, false), z0)), z1), A(a(filter, a(not, a(a(if, false), z0))), x2))
   A(a(filter, a(not, a(not, z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(not2, a(z0, z1)))), z1), a(a(filter, a(not, a(not, z0))), x2)), A(a(not, a(not, z0)), z1), A(a(filter, a(not, a(not, z0))), x2))
   A(a(filter, a(not, x0)), a(a(cons, x1), x2)) -> c34(A(a(filter, a(not, x0)), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, nil), x2)) -> c34(A(a(not, a(filter, z0)), nil), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c34(A(a(not, a(a(if, true), z0)), z1), A(a(filter, a(not, a(a(if, true), z0))), x2))
   A(a(filter, a(not, sieve)), a(a(cons, nil), x2)) -> c34(A(a(not, sieve), nil), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(not, sieve), a(a(cons, z0), z1)), A(a(filter, a(not, sieve)), x2))
   A(sieve, a(a(cons, x0), a(a(cons, x1), nil))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), nil)), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), nil)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), a(a(cons, z1), z2)))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2)))), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), a(a(cons, z1), z2))))
   A(sieve, a(a(cons, x0), a(a(cons, z1), x2))) -> c41(A(sieve, a(a(a(if, a(not2, a(a(divides, x0), z1))), z1), a(a(filter, a(not, a(divides, x0))), x2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), x2)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), x2))) -> c41(A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), x2)))
   ENCODE_A(divides, divides) -> c(A(divides, divides))
   ENCODE_A(0, divides) -> c(A(0, divides))
   ENCODE_A(s, divides) -> c(A(s, divides))
   ENCODE_A(true, divides) -> c(A(true, divides))
   ENCODE_A(div2, divides) -> c(A(div2, divides))
   ENCODE_A(false, divides) -> c(A(false, divides))
   ENCODE_A(filter, divides) -> c(A(filter, divides))
   ENCODE_A(nil, divides) -> c(A(nil, divides))
   ENCODE_A(cons, divides) -> c(A(cons, divides))
   ENCODE_A(if, divides) -> c(A(if, divides))
   ENCODE_A(not, divides) -> c(A(not, divides))
   ENCODE_A(not2, divides) -> c(A(not2, divides))
   ENCODE_A(sieve, divides) -> c(A(sieve, divides))
   ENCODE_A(cons_a(z0, z1), divides) -> c(A(a(encArg(z0), encArg(z1)), divides))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(not, not2)), a(a(cons, true), x2)) -> c34(A(a(a(if, a(not2, false)), true), a(a(filter, a(not, not2)), x2)), A(a(not, not2), true), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, not2)), a(a(cons, false), x2)) -> c34(A(a(a(if, a(not2, true)), false), a(a(filter, a(not, not2)), x2)), A(a(not, not2), false), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, a(not2, true)), a(s, z0)), a(a(filter, a(not, a(divides, 0))), x2)), A(a(not, a(divides, 0)), a(s, z0)), A(a(filter, a(not, a(divides, 0))), x2))
   A(a(filter, a(not, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), a(s, z1)), a(a(filter, a(not, a(divides, a(s, z0)))), x2)), A(a(not, a(divides, a(s, z0))), a(s, z1)), A(a(filter, a(not, a(divides, a(s, z0)))), x2))
   A(a(filter, a(not, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(not2, a(a(divides, z0), z1))), 0), a(a(filter, a(not, a(a(div2, z0), z1))), x2)), A(a(not, a(a(div2, z0), z1)), 0), A(a(filter, a(not, a(a(div2, z0), z1))), x2))
   A(a(filter, a(not, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, false)), a(s, z1)), a(a(filter, a(not, a(a(div2, 0), z0))), x2)), A(a(not, a(a(div2, 0), z0)), a(s, z1)), A(a(filter, a(not, a(a(div2, 0), z0))), x2))
   A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), z1), z2))), a(s, z2)), a(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2)), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)), A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, z1), z2)), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), a(a(cons, z1), z2)), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, z1)), z1), a(a(filter, a(not, a(a(if, false), z0))), x2)), A(a(not, a(a(if, false), z0)), z1), A(a(filter, a(not, a(a(if, false), z0))), x2))
   A(a(filter, a(not, a(not, z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(not2, a(z0, z1)))), z1), a(a(filter, a(not, a(not, z0))), x2)), A(a(not, a(not, z0)), z1), A(a(filter, a(not, a(not, z0))), x2))
   A(a(filter, a(not, x0)), a(a(cons, x1), x2)) -> c34(A(a(filter, a(not, x0)), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, nil), x2)) -> c34(A(a(not, a(filter, z0)), nil), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c34(A(a(not, a(a(if, true), z0)), z1), A(a(filter, a(not, a(a(if, true), z0))), x2))
   A(a(filter, a(not, sieve)), a(a(cons, nil), x2)) -> c34(A(a(not, sieve), nil), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(not, sieve), a(a(cons, z0), z1)), A(a(filter, a(not, sieve)), x2))
   A(sieve, a(a(cons, x0), a(a(cons, x1), nil))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), nil)), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), nil)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), a(a(cons, z1), z2)))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2)))), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), a(a(cons, z1), z2))))
   A(sieve, a(a(cons, x0), a(a(cons, z1), x2))) -> c41(A(sieve, a(a(a(if, a(not2, a(a(divides, x0), z1))), z1), a(a(filter, a(not, a(divides, x0))), x2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), x2)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), x2))) -> c41(A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), x2)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1, c6_1, c7_1, c41_2


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

(195) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing nodes:
   ENCODE_A(if, divides) -> c(A(if, divides))
   ENCODE_A(filter, divides) -> c(A(filter, divides))
   ENCODE_A(false, divides) -> c(A(false, divides))
   ENCODE_A(not, divides) -> c(A(not, divides))
   ENCODE_A(not2, divides) -> c(A(not2, divides))
   ENCODE_A(sieve, divides) -> c(A(sieve, divides))
   ENCODE_A(div2, divides) -> c(A(div2, divides))
   ENCODE_A(s, divides) -> c(A(s, divides))
   ENCODE_A(0, divides) -> c(A(0, divides))
   ENCODE_A(cons, divides) -> c(A(cons, divides))
   ENCODE_A(nil, divides) -> c(A(nil, divides))
   ENCODE_A(true, divides) -> c(A(true, divides))
   ENCODE_A(divides, divides) -> c(A(divides, divides))

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

(196)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(divides) -> divides
   encArg(0) -> 0
   encArg(s) -> s
   encArg(true) -> true
   encArg(div2) -> div2
   encArg(false) -> false
   encArg(filter) -> filter
   encArg(nil) -> nil
   encArg(cons) -> cons
   encArg(if) -> if
   encArg(not) -> not
   encArg(not2) -> not2
   encArg(sieve) -> sieve
   encArg(cons_a(z0, z1)) -> a(encArg(z0), encArg(z1))
   a(a(divides, 0), a(s, z0)) -> true
   a(a(divides, a(s, z0)), a(s, z1)) -> a(a(a(div2, z0), a(s, z1)), z1)
   a(a(a(div2, z0), z1), 0) -> a(a(divides, z0), z1)
   a(a(a(div2, 0), z0), a(s, z1)) -> false
   a(a(a(div2, a(s, z0)), z1), a(s, z2)) -> a(a(a(div2, z0), z1), z2)
   a(a(filter, z0), nil) -> nil
   a(a(filter, z0), a(a(cons, z1), z2)) -> a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))
   a(a(a(if, true), z0), z1) -> a(a(cons, z0), z1)
   a(a(a(if, false), z0), z1) -> z1
   a(a(not, z0), z1) -> a(not2, a(z0, z1))
   a(not2, true) -> false
   a(not2, false) -> true
   a(sieve, nil) -> nil
   a(sieve, a(a(cons, z0), z1)) -> a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))
Tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   ENCARG(cons_a(divides, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(0, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(s, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(true, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(div2, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(false, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(filter, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(nil, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(cons, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(if, x1)) -> c13(ENCARG(x1))
   ENCARG(cons_a(not, x1)) -> c13(ENCARG(x1))
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   ENCODE_A(x0, 0) -> c(A(encArg(x0), 0))
   ENCODE_A(x0, s) -> c(A(encArg(x0), s))
   ENCODE_A(x0, true) -> c(A(encArg(x0), true))
   ENCODE_A(x0, div2) -> c(A(encArg(x0), div2))
   ENCODE_A(x0, false) -> c(A(encArg(x0), false))
   ENCODE_A(x0, filter) -> c(A(encArg(x0), filter))
   ENCODE_A(x0, nil) -> c(A(encArg(x0), nil))
   ENCODE_A(x0, cons) -> c(A(encArg(x0), cons))
   ENCODE_A(x0, if) -> c(A(encArg(x0), if))
   ENCODE_A(x0, not) -> c(A(encArg(x0), not))
   ENCODE_A(x0, not2) -> c(A(encArg(x0), not2))
   ENCODE_A(x0, sieve) -> c(A(encArg(x0), sieve))
   ENCODE_A(x0, cons_a(z0, z1)) -> c(A(encArg(x0), a(encArg(z0), encArg(z1))))
   ENCODE_A(not2, x1) -> c(A(not2, encArg(x1)))
   ENCODE_A(sieve, x1) -> c(A(sieve, encArg(x1)))
   ENCODE_A(cons_a(z0, z1), x1) -> c(A(a(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_a(x0, cons_a(x1, divides))) -> c13(A(encArg(x0), a(encArg(x1), divides)), ENCARG(x0), ENCARG(cons_a(x1, divides)))
   ENCARG(cons_a(x0, cons_a(x1, 0))) -> c13(A(encArg(x0), a(encArg(x1), 0)), ENCARG(x0), ENCARG(cons_a(x1, 0)))
   ENCARG(cons_a(x0, cons_a(x1, s))) -> c13(A(encArg(x0), a(encArg(x1), s)), ENCARG(x0), ENCARG(cons_a(x1, s)))
   ENCARG(cons_a(x0, cons_a(x1, true))) -> c13(A(encArg(x0), a(encArg(x1), true)), ENCARG(x0), ENCARG(cons_a(x1, true)))
   ENCARG(cons_a(x0, cons_a(x1, div2))) -> c13(A(encArg(x0), a(encArg(x1), div2)), ENCARG(x0), ENCARG(cons_a(x1, div2)))
   ENCARG(cons_a(x0, cons_a(x1, false))) -> c13(A(encArg(x0), a(encArg(x1), false)), ENCARG(x0), ENCARG(cons_a(x1, false)))
   ENCARG(cons_a(x0, cons_a(x1, filter))) -> c13(A(encArg(x0), a(encArg(x1), filter)), ENCARG(x0), ENCARG(cons_a(x1, filter)))
   ENCARG(cons_a(x0, cons_a(x1, nil))) -> c13(A(encArg(x0), a(encArg(x1), nil)), ENCARG(x0), ENCARG(cons_a(x1, nil)))
   ENCARG(cons_a(x0, cons_a(x1, cons))) -> c13(A(encArg(x0), a(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_a(x1, cons)))
   ENCARG(cons_a(x0, cons_a(x1, if))) -> c13(A(encArg(x0), a(encArg(x1), if)), ENCARG(x0), ENCARG(cons_a(x1, if)))
   ENCARG(cons_a(x0, cons_a(x1, not))) -> c13(A(encArg(x0), a(encArg(x1), not)), ENCARG(x0), ENCARG(cons_a(x1, not)))
   ENCARG(cons_a(x0, cons_a(x1, not2))) -> c13(A(encArg(x0), a(encArg(x1), not2)), ENCARG(x0), ENCARG(cons_a(x1, not2)))
   ENCARG(cons_a(x0, cons_a(x1, sieve))) -> c13(A(encArg(x0), a(encArg(x1), sieve)), ENCARG(x0), ENCARG(cons_a(x1, sieve)))
   ENCARG(cons_a(x0, cons_a(x1, cons_a(z0, z1)))) -> c13(A(encArg(x0), a(encArg(x1), a(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_a(x1, cons_a(z0, z1))))
   ENCARG(cons_a(x0, cons_a(divides, x2))) -> c13(A(encArg(x0), a(divides, encArg(x2))), ENCARG(x0), ENCARG(cons_a(divides, x2)))
   ENCARG(cons_a(x0, cons_a(0, x2))) -> c13(A(encArg(x0), a(0, encArg(x2))), ENCARG(x0), ENCARG(cons_a(0, x2)))
   ENCARG(cons_a(x0, cons_a(s, x2))) -> c13(A(encArg(x0), a(s, encArg(x2))), ENCARG(x0), ENCARG(cons_a(s, x2)))
   ENCARG(cons_a(x0, cons_a(true, x2))) -> c13(A(encArg(x0), a(true, encArg(x2))), ENCARG(x0), ENCARG(cons_a(true, x2)))
   ENCARG(cons_a(x0, cons_a(div2, x2))) -> c13(A(encArg(x0), a(div2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(div2, x2)))
   ENCARG(cons_a(x0, cons_a(false, x2))) -> c13(A(encArg(x0), a(false, encArg(x2))), ENCARG(x0), ENCARG(cons_a(false, x2)))
   ENCARG(cons_a(x0, cons_a(filter, x2))) -> c13(A(encArg(x0), a(filter, encArg(x2))), ENCARG(x0), ENCARG(cons_a(filter, x2)))
   ENCARG(cons_a(x0, cons_a(nil, x2))) -> c13(A(encArg(x0), a(nil, encArg(x2))), ENCARG(x0), ENCARG(cons_a(nil, x2)))
   ENCARG(cons_a(x0, cons_a(cons, x2))) -> c13(A(encArg(x0), a(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons, x2)))
   ENCARG(cons_a(x0, cons_a(if, x2))) -> c13(A(encArg(x0), a(if, encArg(x2))), ENCARG(x0), ENCARG(cons_a(if, x2)))
   ENCARG(cons_a(x0, cons_a(not, x2))) -> c13(A(encArg(x0), a(not, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not, x2)))
   ENCARG(cons_a(x0, cons_a(not2, x2))) -> c13(A(encArg(x0), a(not2, encArg(x2))), ENCARG(x0), ENCARG(cons_a(not2, x2)))
   ENCARG(cons_a(x0, cons_a(sieve, x2))) -> c13(A(encArg(x0), a(sieve, encArg(x2))), ENCARG(x0), ENCARG(cons_a(sieve, x2)))
   ENCARG(cons_a(x0, cons_a(cons_a(z0, z1), x2))) -> c13(A(encArg(x0), a(a(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_a(cons_a(z0, z1), x2)))
   ENCARG(cons_a(cons_a(z0, z1), cons_a(x1, x2))) -> c13(A(a(encArg(z0), encArg(z1)), a(encArg(x1), encArg(x2))), ENCARG(cons_a(z0, z1)), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(divides, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(0, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(s, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(true, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(div2, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(false, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(filter, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(nil, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(if, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not, cons_a(x1, x2))) -> c13(ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(not2, cons_a(x1, x2))) -> c13(A(not2, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(sieve, cons_a(x1, x2))) -> c13(A(sieve, a(encArg(x1), encArg(x2))), ENCARG(cons_a(x1, x2)))
   ENCARG(cons_a(cons_a(x0, divides), x2)) -> c13(A(a(encArg(x0), divides), encArg(x2)), ENCARG(cons_a(x0, divides)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, 0), x2)) -> c13(A(a(encArg(x0), 0), encArg(x2)), ENCARG(cons_a(x0, 0)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, s), x2)) -> c13(A(a(encArg(x0), s), encArg(x2)), ENCARG(cons_a(x0, s)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, true), x2)) -> c13(A(a(encArg(x0), true), encArg(x2)), ENCARG(cons_a(x0, true)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, div2), x2)) -> c13(A(a(encArg(x0), div2), encArg(x2)), ENCARG(cons_a(x0, div2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, false), x2)) -> c13(A(a(encArg(x0), false), encArg(x2)), ENCARG(cons_a(x0, false)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, filter), x2)) -> c13(A(a(encArg(x0), filter), encArg(x2)), ENCARG(cons_a(x0, filter)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, nil), x2)) -> c13(A(a(encArg(x0), nil), encArg(x2)), ENCARG(cons_a(x0, nil)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons), x2)) -> c13(A(a(encArg(x0), cons), encArg(x2)), ENCARG(cons_a(x0, cons)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, if), x2)) -> c13(A(a(encArg(x0), if), encArg(x2)), ENCARG(cons_a(x0, if)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not), x2)) -> c13(A(a(encArg(x0), not), encArg(x2)), ENCARG(cons_a(x0, not)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, not2), x2)) -> c13(A(a(encArg(x0), not2), encArg(x2)), ENCARG(cons_a(x0, not2)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, sieve), x2)) -> c13(A(a(encArg(x0), sieve), encArg(x2)), ENCARG(cons_a(x0, sieve)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, cons_a(z0, z1)), x2)) -> c13(A(a(encArg(x0), a(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_a(x0, cons_a(z0, z1))), ENCARG(x2))
   ENCARG(cons_a(cons_a(divides, x1), x2)) -> c13(A(a(divides, encArg(x1)), encArg(x2)), ENCARG(cons_a(divides, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(filter, x1), x2)) -> c13(A(a(filter, encArg(x1)), encArg(x2)), ENCARG(cons_a(filter, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not, x1), x2)) -> c13(A(a(not, encArg(x1)), encArg(x2)), ENCARG(cons_a(not, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(not2, x1), x2)) -> c13(A(a(not2, encArg(x1)), encArg(x2)), ENCARG(cons_a(not2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(sieve, x1), x2)) -> c13(A(a(sieve, encArg(x1)), encArg(x2)), ENCARG(cons_a(sieve, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons_a(z0, z1), x1), x2)) -> c13(A(a(a(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_a(cons_a(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(x0, x1), divides)) -> c13(A(a(encArg(x0), encArg(x1)), divides), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), 0)) -> c13(A(a(encArg(x0), encArg(x1)), 0), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), s)) -> c13(A(a(encArg(x0), encArg(x1)), s), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), true)) -> c13(A(a(encArg(x0), encArg(x1)), true), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), div2)) -> c13(A(a(encArg(x0), encArg(x1)), div2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), false)) -> c13(A(a(encArg(x0), encArg(x1)), false), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), filter)) -> c13(A(a(encArg(x0), encArg(x1)), filter), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), nil)) -> c13(A(a(encArg(x0), encArg(x1)), nil), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), cons)) -> c13(A(a(encArg(x0), encArg(x1)), cons), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), if)) -> c13(A(a(encArg(x0), encArg(x1)), if), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not)) -> c13(A(a(encArg(x0), encArg(x1)), not), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), not2)) -> c13(A(a(encArg(x0), encArg(x1)), not2), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(x0, x1), sieve)) -> c13(A(a(encArg(x0), encArg(x1)), sieve), ENCARG(cons_a(x0, x1)))
   ENCARG(cons_a(cons_a(0, x1), x2)) -> c13(ENCARG(cons_a(0, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(s, x1), x2)) -> c13(ENCARG(cons_a(s, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(true, x1), x2)) -> c13(ENCARG(cons_a(true, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(div2, x1), x2)) -> c13(ENCARG(cons_a(div2, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(false, x1), x2)) -> c13(ENCARG(cons_a(false, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(nil, x1), x2)) -> c13(ENCARG(cons_a(nil, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(cons, x1), x2)) -> c13(ENCARG(cons_a(cons, x1)), ENCARG(x2))
   ENCARG(cons_a(cons_a(if, x1), x2)) -> c13(ENCARG(cons_a(if, x1)), ENCARG(x2))
   ENCARG(cons_a(not2, true)) -> c13(A(not2, true))
   ENCARG(cons_a(not2, false)) -> c13(A(not2, false))
   ENCARG(cons_a(sieve, nil)) -> c13(A(sieve, nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(not, not2)), a(a(cons, true), x2)) -> c34(A(a(a(if, a(not2, false)), true), a(a(filter, a(not, not2)), x2)), A(a(not, not2), true), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, not2)), a(a(cons, false), x2)) -> c34(A(a(a(if, a(not2, true)), false), a(a(filter, a(not, not2)), x2)), A(a(not, not2), false), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, a(not2, true)), a(s, z0)), a(a(filter, a(not, a(divides, 0))), x2)), A(a(not, a(divides, 0)), a(s, z0)), A(a(filter, a(not, a(divides, 0))), x2))
   A(a(filter, a(not, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), a(s, z1)), a(a(filter, a(not, a(divides, a(s, z0)))), x2)), A(a(not, a(divides, a(s, z0))), a(s, z1)), A(a(filter, a(not, a(divides, a(s, z0)))), x2))
   A(a(filter, a(not, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(not2, a(a(divides, z0), z1))), 0), a(a(filter, a(not, a(a(div2, z0), z1))), x2)), A(a(not, a(a(div2, z0), z1)), 0), A(a(filter, a(not, a(a(div2, z0), z1))), x2))
   A(a(filter, a(not, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, false)), a(s, z1)), a(a(filter, a(not, a(a(div2, 0), z0))), x2)), A(a(not, a(a(div2, 0), z0)), a(s, z1)), A(a(filter, a(not, a(a(div2, 0), z0))), x2))
   A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), z1), z2))), a(s, z2)), a(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2)), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)), A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, z1), z2)), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), a(a(cons, z1), z2)), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, z1)), z1), a(a(filter, a(not, a(a(if, false), z0))), x2)), A(a(not, a(a(if, false), z0)), z1), A(a(filter, a(not, a(a(if, false), z0))), x2))
   A(a(filter, a(not, a(not, z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(not2, a(z0, z1)))), z1), a(a(filter, a(not, a(not, z0))), x2)), A(a(not, a(not, z0)), z1), A(a(filter, a(not, a(not, z0))), x2))
   A(a(filter, a(not, x0)), a(a(cons, x1), x2)) -> c34(A(a(filter, a(not, x0)), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, nil), x2)) -> c34(A(a(not, a(filter, z0)), nil), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c34(A(a(not, a(a(if, true), z0)), z1), A(a(filter, a(not, a(a(if, true), z0))), x2))
   A(a(filter, a(not, sieve)), a(a(cons, nil), x2)) -> c34(A(a(not, sieve), nil), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(not, sieve), a(a(cons, z0), z1)), A(a(filter, a(not, sieve)), x2))
   A(sieve, a(a(cons, x0), a(a(cons, x1), nil))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), nil)), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), nil)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), a(a(cons, z1), z2)))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2)))), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), a(a(cons, z1), z2))))
   A(sieve, a(a(cons, x0), a(a(cons, z1), x2))) -> c41(A(sieve, a(a(a(if, a(not2, a(a(divides, x0), z1))), z1), a(a(filter, a(not, a(divides, x0))), x2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), x2)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), x2))) -> c41(A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), x2)))
   ENCODE_A(cons_a(z0, z1), divides) -> c(A(a(encArg(z0), encArg(z1)), divides))
S tuples:
   A(a(divides, 0), a(s, z0)) -> c28
   A(a(a(div2, 0), z0), a(s, z1)) -> c31
   A(a(filter, z0), nil) -> c33
   A(a(a(if, false), z0), z1) -> c36
   A(not2, true) -> c38
   A(not2, false) -> c39
   A(sieve, nil) -> c40
   A(a(divides, a(s, z0)), a(s, z1)) -> c29(A(a(a(div2, z0), a(s, z1)), z1))
   A(a(a(div2, z0), z1), 0) -> c30(A(a(divides, z0), z1))
   A(a(a(div2, a(s, z0)), z1), a(s, z2)) -> c32(A(a(a(div2, z0), z1), z2))
   A(a(a(if, true), z0), z1) -> c35
   A(a(not, a(filter, z0)), nil) -> c37(A(a(filter, z0), nil))
   A(a(not, a(a(if, true), z0)), z1) -> c37(A(a(a(if, true), z0), z1))
   A(a(not, sieve), nil) -> c37(A(sieve, nil))
   A(a(not, sieve), a(a(cons, z0), z1)) -> c37(A(sieve, a(a(cons, z0), z1)))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(not2, true))
   A(a(not, a(divides, 0)), a(s, z0)) -> c1(A(a(divides, 0), a(s, z0)))
   A(a(not, a(divides, a(s, z0))), a(s, z1)) -> c1(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(not, a(a(div2, z0), z1)), 0) -> c1(A(a(a(div2, z0), z1), 0))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(not2, false))
   A(a(not, a(a(div2, 0), z0)), a(s, z1)) -> c1(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)) -> c1(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(not2, z1))
   A(a(not, a(a(if, false), z0)), z1) -> c1(A(a(a(if, false), z0), z1))
   A(a(not, not2), true) -> c1(A(not2, false))
   A(a(not, not2), true) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, true))
   A(a(not, not2), false) -> c1(A(not2, false))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2)), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), x2))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2)), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), x2))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2)), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), x2))
   A(a(filter, not2), a(a(cons, true), x2)) -> c34(A(a(a(if, false), true), a(a(filter, not2), x2)), A(not2, true), A(a(filter, not2), x2))
   A(a(filter, not2), a(a(cons, false), x2)) -> c34(A(a(a(if, true), false), a(a(filter, not2), x2)), A(not2, false), A(a(filter, not2), x2))
   A(a(filter, a(filter, z0)), a(a(cons, nil), x2)) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), x2))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), x2))
   A(a(filter, sieve), a(a(cons, nil), x2)) -> c34(A(sieve, nil), A(a(filter, sieve), x2))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), x2))
   A(sieve, a(a(cons, x0), x1)) -> c41(A(a(filter, a(not, a(divides, x0))), x1))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(sieve, nil))
   A(sieve, a(a(cons, x0), nil)) -> c2(A(a(filter, a(not, a(divides, x0))), nil))
   A(a(not, a(filter, z0)), a(a(cons, x1), nil)) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), nil)), A(a(filter, z0), a(a(cons, x1), nil)))
   A(a(not, a(filter, z0)), a(a(cons, x1), a(a(cons, z1), z2))) -> c37(A(not2, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))))
   A(a(not, a(filter, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c37(A(not2, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)))
   A(a(not, a(filter, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c37(A(not2, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)))
   A(a(not, a(filter, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c37(A(not2, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)))
   A(a(not, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c37(A(not2, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)))
   A(a(not, a(filter, a(not, z0))), a(a(cons, z1), x2)) -> c37(A(not2, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), A(a(filter, a(not, z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, not2)), a(a(cons, true), x2)) -> c37(A(not2, a(a(a(if, false), true), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, true), x2)))
   A(a(not, a(filter, not2)), a(a(cons, false), x2)) -> c37(A(not2, a(a(a(if, true), false), a(a(filter, not2), x2))), A(a(filter, not2), a(a(cons, false), x2)))
   A(a(not, a(filter, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c37(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)))
   A(a(not, a(filter, a(filter, z0))), a(a(cons, nil), x2)) -> c37(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, nil), x2)) -> c37(A(a(filter, sieve), a(a(cons, nil), x2)))
   A(a(not, a(filter, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c37(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)))
   A(a(not, a(not, a(filter, z0))), a(a(cons, z1), z2)) -> c37(A(not2, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(a(not, a(filter, z0)), a(a(cons, z1), z2)))
   A(a(not, a(not, a(not, z0))), z1) -> c37(A(not2, a(not2, a(not2, a(z0, z1)))), A(a(not, a(not, z0)), z1))
   A(a(not, a(not, a(filter, z0))), nil) -> c37(A(a(not, a(filter, z0)), nil))
   A(a(not, a(not, a(a(if, true), z0))), z1) -> c37(A(a(not, a(a(if, true), z0)), z1))
   A(a(not, a(not, sieve)), nil) -> c37(A(a(not, sieve), nil))
   A(a(not, a(not, sieve)), a(a(cons, z0), z1)) -> c37(A(a(not, sieve), a(a(cons, z0), z1)))
   A(a(not, a(not, not2)), true) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, not2)), true) -> c3(A(a(not, not2), true))
   A(a(not, a(not, not2)), false) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, not2)), false) -> c3(A(a(not, not2), false))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(not2, a(not2, true)))
   A(a(not, a(not, a(divides, 0))), a(s, z0)) -> c3(A(a(not, a(divides, 0)), a(s, z0)))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(not2, a(not2, a(a(a(div2, z0), a(s, z1)), z1))))
   A(a(not, a(not, a(divides, a(s, z0)))), a(s, z1)) -> c3(A(a(not, a(divides, a(s, z0))), a(s, z1)))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(not2, a(not2, a(a(divides, z0), z1))))
   A(a(not, a(not, a(a(div2, z0), z1))), 0) -> c3(A(a(not, a(a(div2, z0), z1)), 0))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(not2, a(not2, false)))
   A(a(not, a(not, a(a(div2, 0), z0))), a(s, z1)) -> c3(A(a(not, a(a(div2, 0), z0)), a(s, z1)))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(not2, a(not2, a(a(a(div2, z0), z1), z2))))
   A(a(not, a(not, a(a(div2, a(s, z0)), z1))), a(s, z2)) -> c3(A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(not2, a(not2, z1)))
   A(a(not, a(not, a(a(if, false), z0))), z1) -> c3(A(a(not, a(a(if, false), z0)), z1))
   A(a(not, a(divides, a(s, z0))), a(s, 0)) -> c1(A(not2, a(a(divides, z0), a(s, 0))))
   A(a(not, a(divides, a(s, 0))), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(divides, a(s, a(s, z0)))), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), a(s, a(s, z2))), z2)))
   A(a(not, a(a(div2, 0), a(s, z0))), 0) -> c1(A(not2, true))
   A(a(not, a(a(div2, a(s, z0)), a(s, z1))), 0) -> c1(A(not2, a(a(a(div2, z0), a(s, z1)), z1)))
   A(a(not, a(a(div2, a(s, z0)), z1)), a(s, 0)) -> c1(A(not2, a(a(divides, z0), z1)))
   A(a(not, a(a(div2, a(s, 0)), z0)), a(s, a(s, z1))) -> c1(A(not2, false))
   A(a(not, a(a(div2, a(s, a(s, z0))), z1)), a(s, a(s, z2))) -> c1(A(not2, a(a(a(div2, z0), z1), z2)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), nil)) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), nil), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(not, z0)), a(a(cons, z1), nil)) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), nil), A(a(not, z0), z1), A(a(filter, a(not, z0)), nil))
   A(a(filter, x0), a(a(cons, x1), nil)) -> c34(A(a(filter, x0), nil))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), nil)) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(a(if, true), a(s, z0)), nil))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(divides, 0), a(s, z0)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), nil)) -> c4(A(a(filter, a(divides, 0)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), nil))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(divides, a(s, z0)), a(s, z1)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(divides, a(s, z0))), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(if, a(a(divides, z0), z1)), 0), nil))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(a(div2, z0), z1), 0))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), nil)) -> c4(A(a(filter, a(a(div2, z0), z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(if, false), a(s, z1)), nil))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(a(div2, 0), z0), a(s, z1)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), nil)) -> c4(A(a(filter, a(a(div2, 0), z0)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(a(div2, a(s, z0)), z1), a(s, z2)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), nil)) -> c4(A(a(filter, a(a(div2, a(s, z0)), z1)), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, z1), z1), nil))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, false), z0), z1))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, false), z0)), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(a(if, false), true), nil))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(not2, true))
   A(a(filter, not2), a(a(cons, true), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(a(if, true), false), nil))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(not2, false))
   A(a(filter, not2), a(a(cons, false), nil)) -> c4(A(a(filter, not2), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, z0), nil))
   A(a(filter, a(filter, z0)), a(a(cons, nil), nil)) -> c4(A(a(filter, a(filter, z0)), nil))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(a(if, true), z0), z1))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), nil)) -> c4(A(a(filter, a(a(if, true), z0)), nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(sieve, nil))
   A(a(filter, sieve), a(a(cons, nil), nil)) -> c4(A(a(filter, sieve), nil))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), nil))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), nil)), A(z0, x1), A(a(filter, z0), a(a(cons, x2), nil)))
   A(a(filter, z0), a(a(cons, x1), a(a(cons, x2), a(a(cons, z1), z2)))) -> c34(A(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, x2)), x2), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), A(z0, x1), A(a(filter, z0), a(a(cons, x2), a(a(cons, z1), z2))))
   A(a(filter, a(divides, 0)), a(a(cons, x1), a(a(cons, a(s, z0)), x3))) -> c34(A(a(a(if, a(a(divides, 0), x1)), x1), a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), x1), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(divides, a(s, z0)), x1)), x1), a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), x1), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, x1), a(a(cons, 0), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), x1)), x1), a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), x1), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, x1), a(a(cons, a(s, z1)), x3))) -> c34(A(a(a(if, a(a(a(div2, 0), z0), x1)), x1), a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), x1), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x1), a(a(cons, a(s, z2)), x3))) -> c34(A(a(a(if, a(a(a(div2, a(s, z0)), z1), x1)), x1), a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), x1), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, nil), nil), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, nil), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, x1), a(a(cons, a(a(cons, z1), z2)), x3))) -> c34(A(a(a(if, a(a(filter, z0), x1)), x1), a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), x1), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, true), z0), x1)), x1), a(a(a(if, a(a(cons, z0), z1)), z1), a(a(filter, a(a(if, true), z0)), x3))), A(a(a(if, true), z0), x1), A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(a(if, false), z0), x1)), x1), a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), x1), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x3)))
   A(a(filter, a(not, z0)), a(a(cons, x1), a(a(cons, z1), x3))) -> c34(A(a(a(if, a(a(not, z0), x1)), x1), a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x3))), A(a(not, z0), x1), A(a(filter, a(not, z0)), a(a(cons, z1), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, true), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, false), true), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, true), x3)))
   A(a(filter, not2), a(a(cons, x1), a(a(cons, false), x3))) -> c34(A(a(a(if, a(not2, x1)), x1), a(a(a(if, true), false), a(a(filter, not2), x3))), A(not2, x1), A(a(filter, not2), a(a(cons, false), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, nil), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, nil), nil), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, nil), x3)))
   A(a(filter, sieve), a(a(cons, x1), a(a(cons, a(a(cons, z0), z1)), x3))) -> c34(A(a(a(if, a(sieve, x1)), x1), a(a(a(if, a(a(cons, z0), a(sieve, a(a(filter, a(not, a(divides, z0))), z1)))), a(a(cons, z0), z1)), a(a(filter, sieve), x3))), A(sieve, x1), A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x3)))
   A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), a(s, z0)), a(a(a(if, a(a(divides, 0), x2)), x2), a(a(filter, a(divides, 0)), x3))), A(a(divides, 0), a(s, z0)), A(a(filter, a(divides, 0)), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(a(if, a(a(divides, a(s, z0)), x2)), x2), a(a(filter, a(divides, a(s, z0))), x3))), A(a(divides, a(s, z0)), a(s, z1)), A(a(filter, a(divides, a(s, z0))), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(divides, z0), z1)), 0), a(a(a(if, a(a(a(div2, z0), z1), x2)), x2), a(a(filter, a(a(div2, z0), z1)), x3))), A(a(a(div2, z0), z1), 0), A(a(filter, a(a(div2, z0), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), a(s, z1)), a(a(a(if, a(a(a(div2, 0), z0), x2)), x2), a(a(filter, a(a(div2, 0), z0)), x3))), A(a(a(div2, 0), z0), a(s, z1)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(a(if, a(a(a(div2, a(s, z0)), z1), x2)), x2), a(a(filter, a(a(div2, a(s, z0)), z1)), x3))), A(a(a(div2, a(s, z0)), z1), a(s, z2)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(a(if, a(a(filter, z0), x2)), x2), a(a(filter, a(filter, z0)), x3))), A(a(filter, z0), a(a(cons, z1), z2)), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, false), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, z1), z1), a(a(a(if, a(a(a(if, false), z0), x2)), x2), a(a(filter, a(a(if, false), z0)), x3))), A(a(a(if, false), z0), z1), A(a(filter, a(a(if, false), z0)), a(a(cons, x2), x3)))
   A(a(filter, a(not, z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, a(not2, a(z0, z1))), z1), a(a(a(if, a(a(not, z0), x2)), x2), a(a(filter, a(not, z0)), x3))), A(a(not, z0), z1), A(a(filter, a(not, z0)), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, true), a(a(cons, x2), x3))) -> c34(A(a(a(if, false), true), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, true), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, not2), a(a(cons, false), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), false), a(a(a(if, a(not2, x2)), x2), a(a(filter, not2), x3))), A(not2, false), A(a(filter, not2), a(a(cons, x2), x3)))
   A(a(filter, a(filter, z0)), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(a(filter, z0), nil), A(a(filter, a(filter, z0)), a(a(cons, x2), x3)))
   A(a(filter, a(a(if, true), z0)), a(a(cons, z1), a(a(cons, x2), x3))) -> c34(A(a(a(if, true), z0), z1), A(a(filter, a(a(if, true), z0)), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, nil), a(a(cons, x2), x3))) -> c34(A(sieve, nil), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), a(a(cons, x2), x3))) -> c34(A(sieve, a(a(cons, z0), z1)), A(a(filter, sieve), a(a(cons, x2), x3)))
   A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, 0)), x2)) -> c34(A(a(a(if, a(a(divides, z0), a(s, 0))), a(s, 0)), a(a(filter, a(divides, a(s, z0))), x2)), A(a(divides, a(s, z0)), a(s, 0)), A(a(filter, a(divides, a(s, z0))), x2))
   A(a(filter, a(divides, a(s, 0))), a(a(cons, a(s, a(s, z1))), x2)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(divides, a(s, 0))), x2)), A(a(divides, a(s, 0)), a(s, a(s, z1))), A(a(filter, a(divides, a(s, 0))), x2))
   A(a(filter, a(divides, a(s, a(s, z0)))), a(a(cons, a(s, a(s, z2))), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, a(s, z2))), z2)), a(s, a(s, z2))), a(a(filter, a(divides, a(s, a(s, z0)))), x2)), A(a(divides, a(s, a(s, z0))), a(s, a(s, z2))), A(a(filter, a(divides, a(s, a(s, z0)))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), x2)) -> c34(A(a(divides, a(s, x0)), a(s, x1)), A(a(filter, a(divides, a(s, x0))), x2))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(a(if, a(a(a(div2, x0), a(s, x1)), x1)), a(s, x1)), nil))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(divides, a(s, x0)), a(s, x1)))
   A(a(filter, a(divides, a(s, x0))), a(a(cons, a(s, x1)), nil)) -> c5(A(a(filter, a(divides, a(s, x0))), nil))
   A(a(filter, a(a(div2, 0), a(s, z0))), a(a(cons, 0), x2)) -> c34(A(a(a(if, true), 0), a(a(filter, a(a(div2, 0), a(s, z0))), x2)), A(a(a(div2, 0), a(s, z0)), 0), A(a(filter, a(a(div2, 0), a(s, z0))), x2))
   A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), 0), a(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2)), A(a(a(div2, a(s, z0)), a(s, z1)), 0), A(a(filter, a(a(div2, a(s, z0)), a(s, z1))), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), x2)) -> c34(A(a(a(div2, x0), x1), 0), A(a(filter, a(a(div2, x0), x1)), x2))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(if, a(a(divides, x0), x1)), 0), nil))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(a(div2, x0), x1), 0))
   A(a(filter, a(a(div2, x0), x1)), a(a(cons, 0), nil)) -> c6(A(a(filter, a(a(div2, x0), x1)), nil))
   A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, 0)), x3)) -> c34(A(a(a(if, a(a(divides, z0), z1)), a(s, 0)), a(a(filter, a(a(div2, a(s, z0)), z1)), x3)), A(a(a(div2, a(s, z0)), z1), a(s, 0)), A(a(filter, a(a(div2, a(s, z0)), z1)), x3))
   A(a(filter, a(a(div2, a(s, 0)), z0)), a(a(cons, a(s, a(s, z1))), x3)) -> c34(A(a(a(if, false), a(s, a(s, z1))), a(a(filter, a(a(div2, a(s, 0)), z0)), x3)), A(a(a(div2, a(s, 0)), z0), a(s, a(s, z1))), A(a(filter, a(a(div2, a(s, 0)), z0)), x3))
   A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), a(a(cons, a(s, a(s, z2))), x3)) -> c34(A(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, a(s, z2))), a(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3)), A(a(a(div2, a(s, a(s, z0))), z1), a(s, a(s, z2))), A(a(filter, a(a(div2, a(s, a(s, z0))), z1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), x3)) -> c34(A(a(a(div2, a(s, x0)), x1), a(s, x2)), A(a(filter, a(a(div2, a(s, x0)), x1)), x3))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(if, a(a(a(div2, x0), x1), x2)), a(s, x2)), nil))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(a(div2, a(s, x0)), x1), a(s, x2)))
   A(a(filter, a(a(div2, a(s, x0)), x1)), a(a(cons, a(s, x2)), nil)) -> c7(A(a(filter, a(a(div2, a(s, x0)), x1)), nil))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), nil)), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), nil)), a(a(cons, x1), nil)), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), nil)), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, x1), a(a(cons, z1), z2))), x3)) -> c34(A(a(a(if, a(a(a(if, a(z0, x1)), x1), a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, x1), a(a(cons, z1), z2))), a(a(filter, a(filter, z0)), x3)), A(a(filter, z0), a(a(cons, x1), a(a(cons, z1), z2))), A(a(filter, a(filter, z0)), x3))
   A(a(filter, a(filter, a(a(if, false), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, z1), z1), a(a(filter, a(a(if, false), z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(a(if, false), z0))), x3)), A(a(filter, a(a(if, false), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, false), z0))), x3))
   A(a(filter, a(filter, a(divides, 0))), a(a(cons, a(a(cons, a(s, z0)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), a(s, z0)), a(a(filter, a(divides, 0)), x2))), a(a(cons, a(s, z0)), x2)), a(a(filter, a(filter, a(divides, 0))), x3)), A(a(filter, a(divides, 0)), a(a(cons, a(s, z0)), x2)), A(a(filter, a(filter, a(divides, 0))), x3))
   A(a(filter, a(filter, a(divides, a(s, z0)))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), a(s, z1)), z1)), a(s, z1)), a(a(filter, a(divides, a(s, z0))), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(divides, a(s, z0)))), x3)), A(a(filter, a(divides, a(s, z0))), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(divides, a(s, z0)))), x3))
   A(a(filter, a(filter, a(a(div2, z0), z1))), a(a(cons, a(a(cons, 0), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(divides, z0), z1)), 0), a(a(filter, a(a(div2, z0), z1)), x2))), a(a(cons, 0), x2)), a(a(filter, a(filter, a(a(div2, z0), z1))), x3)), A(a(filter, a(a(div2, z0), z1)), a(a(cons, 0), x2)), A(a(filter, a(filter, a(a(div2, z0), z1))), x3))
   A(a(filter, a(filter, a(a(div2, 0), z0))), a(a(cons, a(a(cons, a(s, z1)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), a(s, z1)), a(a(filter, a(a(div2, 0), z0)), x2))), a(a(cons, a(s, z1)), x2)), a(a(filter, a(filter, a(a(div2, 0), z0))), x3)), A(a(filter, a(a(div2, 0), z0)), a(a(cons, a(s, z1)), x2)), A(a(filter, a(filter, a(a(div2, 0), z0))), x3))
   A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), a(a(cons, a(a(cons, a(s, z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(div2, z0), z1), z2)), a(s, z2)), a(a(filter, a(a(div2, a(s, z0)), z1)), x2))), a(a(cons, a(s, z2)), x2)), a(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3)), A(a(filter, a(a(div2, a(s, z0)), z1)), a(a(cons, a(s, z2)), x2)), A(a(filter, a(filter, a(a(div2, a(s, z0)), z1))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, a(a(cons, z1), z2)), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2))), a(a(cons, z1), z2)), a(a(filter, a(filter, z0)), x2))), a(a(cons, a(a(cons, z1), z2)), x2)), a(a(filter, a(filter, a(filter, z0))), x3)), A(a(filter, a(filter, z0)), a(a(cons, a(a(cons, z1), z2)), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, a(not, z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, a(not2, a(z0, z1))), z1), a(a(filter, a(not, z0)), x2))), a(a(cons, z1), x2)), a(a(filter, a(filter, a(not, z0))), x3)), A(a(filter, a(not, z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(not, z0))), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, true), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, false), true), a(a(filter, not2), x2))), a(a(cons, true), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, true), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, not2)), a(a(cons, a(a(cons, false), x2)), x3)) -> c34(A(a(a(if, a(a(a(if, true), false), a(a(filter, not2), x2))), a(a(cons, false), x2)), a(a(filter, a(filter, not2)), x3)), A(a(filter, not2), a(a(cons, false), x2)), A(a(filter, a(filter, not2)), x3))
   A(a(filter, a(filter, x0)), a(a(cons, a(a(cons, x1), x2)), x3)) -> c34(A(a(filter, a(filter, x0)), x3))
   A(a(filter, a(filter, a(a(if, true), z0))), a(a(cons, a(a(cons, z1), x2)), x3)) -> c34(A(a(filter, a(a(if, true), z0)), a(a(cons, z1), x2)), A(a(filter, a(filter, a(a(if, true), z0))), x3))
   A(a(filter, a(filter, a(filter, z0))), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, a(filter, z0)), a(a(cons, nil), x2)), A(a(filter, a(filter, a(filter, z0))), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, nil), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, nil), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(filter, sieve)), a(a(cons, a(a(cons, a(a(cons, z0), z1)), x2)), x3)) -> c34(A(a(filter, sieve), a(a(cons, a(a(cons, z0), z1)), x2)), A(a(filter, a(filter, sieve)), x3))
   A(a(filter, a(not, not2)), a(a(cons, true), x2)) -> c34(A(a(a(if, a(not2, false)), true), a(a(filter, a(not, not2)), x2)), A(a(not, not2), true), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, not2)), a(a(cons, false), x2)) -> c34(A(a(a(if, a(not2, true)), false), a(a(filter, a(not, not2)), x2)), A(a(not, not2), false), A(a(filter, a(not, not2)), x2))
   A(a(filter, a(not, a(divides, 0))), a(a(cons, a(s, z0)), x2)) -> c34(A(a(a(if, a(not2, true)), a(s, z0)), a(a(filter, a(not, a(divides, 0))), x2)), A(a(not, a(divides, 0)), a(s, z0)), A(a(filter, a(not, a(divides, 0))), x2))
   A(a(filter, a(not, a(divides, a(s, z0)))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), a(s, z1)), z1))), a(s, z1)), a(a(filter, a(not, a(divides, a(s, z0)))), x2)), A(a(not, a(divides, a(s, z0))), a(s, z1)), A(a(filter, a(not, a(divides, a(s, z0)))), x2))
   A(a(filter, a(not, a(a(div2, z0), z1))), a(a(cons, 0), x2)) -> c34(A(a(a(if, a(not2, a(a(divides, z0), z1))), 0), a(a(filter, a(not, a(a(div2, z0), z1))), x2)), A(a(not, a(a(div2, z0), z1)), 0), A(a(filter, a(not, a(a(div2, z0), z1))), x2))
   A(a(filter, a(not, a(a(div2, 0), z0))), a(a(cons, a(s, z1)), x2)) -> c34(A(a(a(if, a(not2, false)), a(s, z1)), a(a(filter, a(not, a(a(div2, 0), z0))), x2)), A(a(not, a(a(div2, 0), z0)), a(s, z1)), A(a(filter, a(not, a(a(div2, 0), z0))), x2))
   A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), a(a(cons, a(s, z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(div2, z0), z1), z2))), a(s, z2)), a(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2)), A(a(not, a(a(div2, a(s, z0)), z1)), a(s, z2)), A(a(filter, a(not, a(a(div2, a(s, z0)), z1))), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, a(a(cons, z1), z2)), x2)) -> c34(A(a(a(if, a(not2, a(a(a(if, a(z0, z1)), z1), a(a(filter, z0), z2)))), a(a(cons, z1), z2)), a(a(filter, a(not, a(filter, z0))), x2)), A(a(not, a(filter, z0)), a(a(cons, z1), z2)), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, false), z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, z1)), z1), a(a(filter, a(not, a(a(if, false), z0))), x2)), A(a(not, a(a(if, false), z0)), z1), A(a(filter, a(not, a(a(if, false), z0))), x2))
   A(a(filter, a(not, a(not, z0))), a(a(cons, z1), x2)) -> c34(A(a(a(if, a(not2, a(not2, a(z0, z1)))), z1), a(a(filter, a(not, a(not, z0))), x2)), A(a(not, a(not, z0)), z1), A(a(filter, a(not, a(not, z0))), x2))
   A(a(filter, a(not, x0)), a(a(cons, x1), x2)) -> c34(A(a(filter, a(not, x0)), x2))
   A(a(filter, a(not, a(filter, z0))), a(a(cons, nil), x2)) -> c34(A(a(not, a(filter, z0)), nil), A(a(filter, a(not, a(filter, z0))), x2))
   A(a(filter, a(not, a(a(if, true), z0))), a(a(cons, z1), x2)) -> c34(A(a(not, a(a(if, true), z0)), z1), A(a(filter, a(not, a(a(if, true), z0))), x2))
   A(a(filter, a(not, sieve)), a(a(cons, nil), x2)) -> c34(A(a(not, sieve), nil), A(a(filter, a(not, sieve)), x2))
   A(a(filter, a(not, sieve)), a(a(cons, a(a(cons, z0), z1)), x2)) -> c34(A(a(not, sieve), a(a(cons, z0), z1)), A(a(filter, a(not, sieve)), x2))
   A(sieve, a(a(cons, x0), a(a(cons, x1), nil))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), nil)), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), nil)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), a(a(cons, z1), z2)))) -> c41(A(sieve, a(a(a(if, a(a(not, a(divides, x0)), x1)), x1), a(a(a(if, a(a(not, a(divides, x0)), z1)), z1), a(a(filter, a(not, a(divides, x0))), z2)))), A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), a(a(cons, z1), z2))))
   A(sieve, a(a(cons, x0), a(a(cons, z1), x2))) -> c41(A(sieve, a(a(a(if, a(not2, a(a(divides, x0), z1))), z1), a(a(filter, a(not, a(divides, x0))), x2))), A(a(filter, a(not, a(divides, x0))), a(a(cons, z1), x2)))
   A(sieve, a(a(cons, x0), a(a(cons, x1), x2))) -> c41(A(a(filter, a(not, a(divides, x0))), a(a(cons, x1), x2)))
K tuples:none
Defined Rule Symbols:   encArg_1, a_2

Defined Pair Symbols:   A_2, ENCARG_1, ENCODE_A_2

Compound Symbols:   c28, c31, c33, c36, c38, c39, c40, c29_1, c30_1, c32_1, c35, c13_1, c37_1, c1_1, c34_3, c34_2, c41_1, c2_1, c_1, c13_3, c13_2, c37_2, c3_1, c34_1, c4_1, c5_1, c6_1, c7_1, c41_2