/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 183 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) RewriteLemmaProof [LOWER BOUND(ID), 2494 ms]
    (12) BOUNDS(1, INF)
(13) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(14) TRS for Loop Detection
(15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(16) CpxTRS
(17) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
    (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxTypedWeightedTrs
    (23) CompletionProof [UPPER BOUND(ID), 0 ms]
    (24) CpxTypedWeightedCompleteTrs
        (25) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 3 ms]
        (26) CpxRNTS
    (27) CompletionProof [UPPER BOUND(ID), 0 ms]
    (28) CpxTypedWeightedCompleteTrs
        (29) NarrowingProof [BOTH BOUNDS(ID, ID), 4 ms]
        (30) CpxTypedWeightedCompleteTrs
        (31) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (32) CpxRNTS
        (33) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (34) CpxRNTS
(35) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(36) CdtProblem
    (37) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (38) CdtProblem
    (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (40) CdtProblem
    (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (42) CdtProblem
    (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (44) CdtProblem
    (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 0 ms]
    (46) CdtProblem
    (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (48) CdtProblem
    (49) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (50) CdtProblem
    (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (52) CdtProblem
    (53) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (54) CdtProblem
    (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (56) CdtProblem
    (57) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (58) CdtProblem
    (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (60) CdtProblem
    (61) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 1 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), 0 ms]
    (68) CdtProblem
    (69) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (70) CdtProblem
    (71) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
    (72) CdtProblem
    (73) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 9 ms]
    (74) CdtProblem
    (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 8 ms]
    (76) CdtProblem
    (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 904 ms]
    (78) CdtProblem
    (79) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (80) CdtProblem
    (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 906 ms]
    (82) CdtProblem
    (83) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (84) CdtProblem
    (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 905 ms]
    (86) CdtProblem
    (87) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (88) CdtProblem
    (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 904 ms]
    (90) CdtProblem
    (91) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (92) CdtProblem
    (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 952 ms]
    (94) CdtProblem
    (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (96) CdtProblem
    (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 951 ms]
    (98) CdtProblem
    (99) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (100) CdtProblem
    (101) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 72 ms]
    (102) CdtProblem
    (103) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (104) CdtProblem
    (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1235 ms]
    (106) CdtProblem
    (107) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 3 ms]
    (108) CdtProblem
    (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1308 ms]
    (110) CdtProblem
    (111) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (112) CdtProblem
    (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1305 ms]
    (114) CdtProblem
    (115) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (116) CdtProblem
    (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1306 ms]
    (118) CdtProblem
    (119) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (120) CdtProblem
    (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1289 ms]
    (122) CdtProblem
    (123) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (124) CdtProblem
    (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1362 ms]
    (126) CdtProblem
    (127) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (128) CdtProblem
    (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1330 ms]
    (130) CdtProblem
    (131) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (132) CdtProblem
    (133) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1373 ms]
    (134) CdtProblem
    (135) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (136) CdtProblem
    (137) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1353 ms]
    (138) CdtProblem
    (139) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (140) CdtProblem
    (141) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1349 ms]
    (142) CdtProblem
    (143) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (144) CdtProblem
    (145) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1422 ms]
    (146) CdtProblem
    (147) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (148) CdtProblem
    (149) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1467 ms]
    (150) CdtProblem
    (151) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (152) CdtProblem
    (153) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1421 ms]
    (154) CdtProblem
    (155) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (156) CdtProblem
    (157) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1504 ms]
    (158) CdtProblem
    (159) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (160) CdtProblem
    (161) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1489 ms]
    (162) CdtProblem
    (163) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (164) CdtProblem
    (165) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 5 ms]
    (166) 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:

   app(app(map_1, f), app(app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t))
   app(app(app(map_2, f), c), app(app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t))
   app(app(app(app(map_3, f), g), c), app(app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t))

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(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2))
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g


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

(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:

   app(app(map_1, f), app(app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t))
   app(app(app(map_2, f), c), app(app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t))
   app(app(app(app(map_3, f), g), c), app(app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t))

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

   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2))
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g

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:

   app(app(map_1, f), app(app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t))
   app(app(app(map_2, f), c), app(app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t))
   app(app(app(app(map_3, f), g), c), app(app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t))

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

   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2))
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g

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:

   app(app(map_1, f), app(app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t))
   app(app(app(map_2, f), c), app(app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t))
   app(app(app(app(map_3, f), g), c), app(app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t))

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

   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2))
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g

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

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

(8)
Obligation:
Innermost TRS:
Rules:
app(app(map_1, f), app(app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t))
app(app(app(map_2, f), c), app(app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t))
app(app(app(app(map_3, f), g), c), app(app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t))
encArg(map_1) -> map_1
encArg(cons) -> cons
encArg(map_2) -> map_2
encArg(map_3) -> map_3
encArg(g) -> g
encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2))
encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2))
encode_map_1 -> map_1
encode_cons -> cons
encode_map_2 -> map_2
encode_map_3 -> map_3
encode_g -> g

Types:
app :: map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app
map_1 :: map_1:cons:map_2:map_3:g:cons_app
cons :: map_1:cons:map_2:map_3:g:cons_app
map_2 :: map_1:cons:map_2:map_3:g:cons_app
map_3 :: map_1:cons:map_2:map_3:g:cons_app
g :: map_1:cons:map_2:map_3:g:cons_app
encArg :: map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app
cons_app :: map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app
encode_app :: map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app
encode_map_1 :: map_1:cons:map_2:map_3:g:cons_app
encode_cons :: map_1:cons:map_2:map_3:g:cons_app
encode_map_2 :: map_1:cons:map_2:map_3:g:cons_app
encode_map_3 :: map_1:cons:map_2:map_3:g:cons_app
encode_g :: map_1:cons:map_2:map_3:g:cons_app
hole_map_1:cons:map_2:map_3:g:cons_app1_0 :: map_1:cons:map_2:map_3:g:cons_app
gen_map_1:cons:map_2:map_3:g:cons_app2_0 :: Nat -> map_1:cons:map_2:map_3:g:cons_app

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

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

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

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

(10)
Obligation:
Innermost TRS:
Rules:
app(app(map_1, f), app(app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t))
app(app(app(map_2, f), c), app(app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t))
app(app(app(app(map_3, f), g), c), app(app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t))
encArg(map_1) -> map_1
encArg(cons) -> cons
encArg(map_2) -> map_2
encArg(map_3) -> map_3
encArg(g) -> g
encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2))
encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2))
encode_map_1 -> map_1
encode_cons -> cons
encode_map_2 -> map_2
encode_map_3 -> map_3
encode_g -> g

Types:
app :: map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app
map_1 :: map_1:cons:map_2:map_3:g:cons_app
cons :: map_1:cons:map_2:map_3:g:cons_app
map_2 :: map_1:cons:map_2:map_3:g:cons_app
map_3 :: map_1:cons:map_2:map_3:g:cons_app
g :: map_1:cons:map_2:map_3:g:cons_app
encArg :: map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app
cons_app :: map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app
encode_app :: map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app -> map_1:cons:map_2:map_3:g:cons_app
encode_map_1 :: map_1:cons:map_2:map_3:g:cons_app
encode_cons :: map_1:cons:map_2:map_3:g:cons_app
encode_map_2 :: map_1:cons:map_2:map_3:g:cons_app
encode_map_3 :: map_1:cons:map_2:map_3:g:cons_app
encode_g :: map_1:cons:map_2:map_3:g:cons_app
hole_map_1:cons:map_2:map_3:g:cons_app1_0 :: map_1:cons:map_2:map_3:g:cons_app
gen_map_1:cons:map_2:map_3:g:cons_app2_0 :: Nat -> map_1:cons:map_2:map_3:g:cons_app


Generator Equations:
gen_map_1:cons:map_2:map_3:g:cons_app2_0(0) <=> map_1
gen_map_1:cons:map_2:map_3:g:cons_app2_0(+(x, 1)) <=> cons_app(map_1, gen_map_1:cons:map_2:map_3:g:cons_app2_0(x))


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

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

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

(11) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_map_1:cons:map_2:map_3:g:cons_app2_0(n40_0)) -> *3_0, rt in Omega(0)

Induction Base:
encArg(gen_map_1:cons:map_2:map_3:g:cons_app2_0(0))

Induction Step:
encArg(gen_map_1:cons:map_2:map_3:g:cons_app2_0(+(n40_0, 1))) ->_R^Omega(0)
app(encArg(map_1), encArg(gen_map_1:cons:map_2:map_3:g:cons_app2_0(n40_0))) ->_R^Omega(0)
app(map_1, encArg(gen_map_1:cons:map_2:map_3:g:cons_app2_0(n40_0))) ->_IH
app(map_1, *3_0)

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

(12)
BOUNDS(1, INF)

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

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

(14)
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:

   app(app(map_1, f), app(app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t))
   app(app(app(map_2, f), c), app(app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t))
   app(app(app(app(map_3, f), g), c), app(app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t))

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

   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2))
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g

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

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

(16)
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:

   app(app(map_1, f), app(app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t))
   app(app(app(map_2, f), c), app(app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t))
   app(app(app(app(map_3, f), g), c), app(app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t))
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2))
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g

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

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

(18)
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:

   app(c_app(c_app(c_app(map_3, f), g), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t))
   app(c_app(c_app(map_2, f), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t))
   app(c_app(map_1, f), c_app(c_app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t))

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

   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2))
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g
   app(x0, x1) -> c_app(x0, x1)

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

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

(20)
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:

   app(c_app(c_app(c_app(map_3, f), g), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t)) [1]
   app(c_app(c_app(map_2, f), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t)) [1]
   app(c_app(map_1, f), c_app(c_app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t)) [1]
   encArg(map_1) -> map_1 [0]
   encArg(cons) -> cons [0]
   encArg(map_2) -> map_2 [0]
   encArg(map_3) -> map_3 [0]
   encArg(g) -> g [0]
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) [0]
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) [0]
   encode_map_1 -> map_1 [0]
   encode_cons -> cons [0]
   encode_map_2 -> map_2 [0]
   encode_map_3 -> map_3 [0]
   encode_g -> g [0]
   app(x0, x1) -> c_app(x0, x1) [0]

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

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

(22)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   app(c_app(c_app(c_app(map_3, f), g), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t)) [1]
   app(c_app(c_app(map_2, f), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t)) [1]
   app(c_app(map_1, f), c_app(c_app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t)) [1]
   encArg(map_1) -> map_1 [0]
   encArg(cons) -> cons [0]
   encArg(map_2) -> map_2 [0]
   encArg(map_3) -> map_3 [0]
   encArg(g) -> g [0]
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) [0]
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) [0]
   encode_map_1 -> map_1 [0]
   encode_cons -> cons [0]
   encode_map_2 -> map_2 [0]
   encode_map_3 -> map_3 [0]
   encode_g -> g [0]
   app(x0, x1) -> c_app(x0, x1) [0]

The TRS has the following type information:
app :: map_3:c_app:g:cons:map_2:map_1:cons_app -> map_3:c_app:g:cons:map_2:map_1:cons_app -> map_3:c_app:g:cons:map_2:map_1:cons_app
c_app :: map_3:c_app:g:cons:map_2:map_1:cons_app -> map_3:c_app:g:cons:map_2:map_1:cons_app -> map_3:c_app:g:cons:map_2:map_1:cons_app
map_3 :: map_3:c_app:g:cons:map_2:map_1:cons_app
g :: map_3:c_app:g:cons:map_2:map_1:cons_app
cons :: map_3:c_app:g:cons:map_2:map_1:cons_app
map_2 :: map_3:c_app:g:cons:map_2:map_1:cons_app
map_1 :: map_3:c_app:g:cons:map_2:map_1:cons_app
encArg :: map_3:c_app:g:cons:map_2:map_1:cons_app -> map_3:c_app:g:cons:map_2:map_1:cons_app
cons_app :: map_3:c_app:g:cons:map_2:map_1:cons_app -> map_3:c_app:g:cons:map_2:map_1:cons_app -> map_3:c_app:g:cons:map_2:map_1:cons_app
encode_app :: map_3:c_app:g:cons:map_2:map_1:cons_app -> map_3:c_app:g:cons:map_2:map_1:cons_app -> map_3:c_app:g:cons:map_2:map_1:cons_app
encode_map_1 :: map_3:c_app:g:cons:map_2:map_1:cons_app
encode_cons :: map_3:c_app:g:cons:map_2:map_1:cons_app
encode_map_2 :: map_3:c_app:g:cons:map_2:map_1:cons_app
encode_map_3 :: map_3:c_app:g:cons:map_2:map_1:cons_app
encode_g :: map_3:c_app:g:cons:map_2:map_1:cons_app

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

(23) 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_app(v0, v1) -> null_encode_app [0]
   encode_map_1 -> null_encode_map_1 [0]
   encode_cons -> null_encode_cons [0]
   encode_map_2 -> null_encode_map_2 [0]
   encode_map_3 -> null_encode_map_3 [0]
   encode_g -> null_encode_g [0]
   app(v0, v1) -> null_app [0]

And the following fresh constants:    null_encArg, null_encode_app, null_encode_map_1, null_encode_cons, null_encode_map_2, null_encode_map_3, null_encode_g, null_app

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

(24)
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:

   app(c_app(c_app(c_app(map_3, f), g), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t)) [1]
   app(c_app(c_app(map_2, f), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t)) [1]
   app(c_app(map_1, f), c_app(c_app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t)) [1]
   encArg(map_1) -> map_1 [0]
   encArg(cons) -> cons [0]
   encArg(map_2) -> map_2 [0]
   encArg(map_3) -> map_3 [0]
   encArg(g) -> g [0]
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) [0]
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) [0]
   encode_map_1 -> map_1 [0]
   encode_cons -> cons [0]
   encode_map_2 -> map_2 [0]
   encode_map_3 -> map_3 [0]
   encode_g -> g [0]
   app(x0, x1) -> c_app(x0, x1) [0]
   encArg(v0) -> null_encArg [0]
   encode_app(v0, v1) -> null_encode_app [0]
   encode_map_1 -> null_encode_map_1 [0]
   encode_cons -> null_encode_cons [0]
   encode_map_2 -> null_encode_map_2 [0]
   encode_map_3 -> null_encode_map_3 [0]
   encode_g -> null_encode_g [0]
   app(v0, v1) -> null_app [0]

The TRS has the following type information:
app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
c_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
map_3 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
g :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
cons :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
map_2 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
map_1 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encArg :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
cons_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_map_1 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_cons :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_map_2 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_map_3 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_g :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encArg :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_map_1 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_cons :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_map_2 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_map_3 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_g :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app

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:

   map_3 => 4
   g => 1
   cons => 0
   map_2 => 3
   map_1 => 2
   null_encArg => 0
   null_encode_app => 0
   null_encode_map_1 => 0
   null_encode_cons => 0
   null_encode_map_2 => 0
   null_encode_map_3 => 0
   null_encode_g => 0
   null_app => 0

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

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

   app(z, z') -{ 1 }-> app(app(0, app(f, h)), app(app(2, f), t)) :|: f >= 0, z = 1 + 2 + f, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(app(f, h), c)), app(app(app(3, f), c), t)) :|: f >= 0, z = 1 + (1 + 3 + f) + c, c >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(app(app(f, 1), h), c)), app(app(app(app(4, f), 1), c), t)) :|: f >= 0, c >= 0, z = 1 + (1 + (1 + 4 + f) + 1) + c, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   app(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   encArg(z) -{ 0 }-> app(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> 4 :|: z = 4
   encArg(z) -{ 0 }-> 3 :|: z = 3
   encArg(z) -{ 0 }-> 2 :|: z = 2
   encArg(z) -{ 0 }-> 1 :|: z = 1
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_app(z, z') -{ 0 }-> app(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_app(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_cons -{ 0 }-> 0 :|: 
   encode_g -{ 0 }-> 1 :|: 
   encode_g -{ 0 }-> 0 :|: 
   encode_map_1 -{ 0 }-> 2 :|: 
   encode_map_1 -{ 0 }-> 0 :|: 
   encode_map_2 -{ 0 }-> 3 :|: 
   encode_map_2 -{ 0 }-> 0 :|: 
   encode_map_3 -{ 0 }-> 4 :|: 
   encode_map_3 -{ 0 }-> 0 :|: 

Only complete derivations are relevant for the runtime complexity.

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_app_2
   encode_map_1
   encode_cons
   encode_map_2
   encode_map_3
   encode_g
   app_2

Due to the following rules being added:

   encArg(v0) -> null_encArg [0]
   encode_app(v0, v1) -> null_encode_app [0]
   encode_map_1 -> null_encode_map_1 [0]
   encode_cons -> null_encode_cons [0]
   encode_map_2 -> null_encode_map_2 [0]
   encode_map_3 -> null_encode_map_3 [0]
   encode_g -> null_encode_g [0]
   app(v0, v1) -> null_app [0]

And the following fresh constants:    null_encArg, null_encode_app, null_encode_map_1, null_encode_cons, null_encode_map_2, null_encode_map_3, null_encode_g, null_app

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

(28)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

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

   app(c_app(c_app(c_app(map_3, f), g), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(app(f, g), h), c)), app(app(app(app(map_3, f), g), c), t)) [1]
   app(c_app(c_app(map_2, f), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(f, h), c)), app(app(app(map_2, f), c), t)) [1]
   app(c_app(map_1, f), c_app(c_app(cons, h), t)) -> app(app(cons, app(f, h)), app(app(map_1, f), t)) [1]
   encArg(map_1) -> map_1 [0]
   encArg(cons) -> cons [0]
   encArg(map_2) -> map_2 [0]
   encArg(map_3) -> map_3 [0]
   encArg(g) -> g [0]
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) [0]
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) [0]
   encode_map_1 -> map_1 [0]
   encode_cons -> cons [0]
   encode_map_2 -> map_2 [0]
   encode_map_3 -> map_3 [0]
   encode_g -> g [0]
   app(x0, x1) -> c_app(x0, x1) [0]
   encArg(v0) -> null_encArg [0]
   encode_app(v0, v1) -> null_encode_app [0]
   encode_map_1 -> null_encode_map_1 [0]
   encode_cons -> null_encode_cons [0]
   encode_map_2 -> null_encode_map_2 [0]
   encode_map_3 -> null_encode_map_3 [0]
   encode_g -> null_encode_g [0]
   app(v0, v1) -> null_app [0]

The TRS has the following type information:
app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
c_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
map_3 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
g :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
cons :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
map_2 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
map_1 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encArg :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
cons_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_map_1 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_cons :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_map_2 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_map_3 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_g :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encArg :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_map_1 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_cons :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_map_2 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_map_3 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_g :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app

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

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

(30)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

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

   app(c_app(c_app(c_app(map_3, f), g), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(c_app(f, g), h), c)), app(app(app(c_app(map_3, f), g), c), t)) [1]
   app(c_app(c_app(c_app(map_3, f), g), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(c_app(f, g), h), c)), app(app(app(null_app, g), c), t)) [1]
   app(c_app(c_app(c_app(map_3, f), g), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(null_app, h), c)), app(app(app(c_app(map_3, f), g), c), t)) [1]
   app(c_app(c_app(c_app(map_3, f), g), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(app(null_app, h), c)), app(app(app(null_app, g), c), t)) [1]
   app(c_app(c_app(map_2, c_app(c_app(c_app(map_3, f'), g), c')), c), c_app(c_app(cons, c_app(c_app(cons, h'), t')), t)) -> app(app(cons, app(app(app(cons, app(app(app(f', g), h'), c')), app(app(app(app(map_3, f'), g), c'), t')), c)), app(app(c_app(map_2, c_app(c_app(c_app(map_3, f'), g), c')), c), t)) [2]
   app(c_app(c_app(map_2, c_app(c_app(c_app(map_3, f'), g), c')), c), c_app(c_app(cons, c_app(c_app(cons, h'), t')), t)) -> app(app(cons, app(app(app(cons, app(app(app(f', g), h'), c')), app(app(app(app(map_3, f'), g), c'), t')), c)), app(app(null_app, c), t)) [2]
   app(c_app(c_app(map_2, c_app(c_app(map_2, f''), c'')), c), c_app(c_app(cons, c_app(c_app(cons, h''), t'')), t)) -> app(app(cons, app(app(app(cons, app(app(f'', h''), c'')), app(app(app(map_2, f''), c''), t'')), c)), app(app(c_app(map_2, c_app(c_app(map_2, f''), c'')), c), t)) [2]
   app(c_app(c_app(map_2, c_app(c_app(map_2, f''), c'')), c), c_app(c_app(cons, c_app(c_app(cons, h''), t'')), t)) -> app(app(cons, app(app(app(cons, app(app(f'', h''), c'')), app(app(app(map_2, f''), c''), t'')), c)), app(app(null_app, c), t)) [2]
   app(c_app(c_app(map_2, c_app(map_1, f1)), c), c_app(c_app(cons, c_app(c_app(cons, h1), t1)), t)) -> app(app(cons, app(app(app(cons, app(f1, h1)), app(app(map_1, f1), t1)), c)), app(app(c_app(map_2, c_app(map_1, f1)), c), t)) [2]
   app(c_app(c_app(map_2, c_app(map_1, f1)), c), c_app(c_app(cons, c_app(c_app(cons, h1), t1)), t)) -> app(app(cons, app(app(app(cons, app(f1, h1)), app(app(map_1, f1), t1)), c)), app(app(null_app, c), t)) [2]
   app(c_app(c_app(map_2, f), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(c_app(f, h), c)), app(app(c_app(map_2, f), c), t)) [1]
   app(c_app(c_app(map_2, f), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(c_app(f, h), c)), app(app(null_app, c), t)) [1]
   app(c_app(c_app(map_2, f), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(null_app, c)), app(app(c_app(map_2, f), c), t)) [1]
   app(c_app(c_app(map_2, f), c), c_app(c_app(cons, h), t)) -> app(app(cons, app(null_app, c)), app(app(null_app, c), t)) [1]
   app(c_app(map_1, c_app(c_app(c_app(map_3, f2), g), c1)), c_app(c_app(cons, c_app(c_app(cons, h2), t2)), t)) -> app(app(cons, app(app(cons, app(app(app(f2, g), h2), c1)), app(app(app(app(map_3, f2), g), c1), t2))), app(c_app(map_1, c_app(c_app(c_app(map_3, f2), g), c1)), t)) [2]
   app(c_app(map_1, c_app(c_app(c_app(map_3, f2), g), c1)), c_app(c_app(cons, c_app(c_app(cons, h2), t2)), t)) -> app(app(cons, app(app(cons, app(app(app(f2, g), h2), c1)), app(app(app(app(map_3, f2), g), c1), t2))), app(null_app, t)) [2]
   app(c_app(map_1, c_app(c_app(map_2, f3), c2)), c_app(c_app(cons, c_app(c_app(cons, h3), t3)), t)) -> app(app(cons, app(app(cons, app(app(f3, h3), c2)), app(app(app(map_2, f3), c2), t3))), app(c_app(map_1, c_app(c_app(map_2, f3), c2)), t)) [2]
   app(c_app(map_1, c_app(c_app(map_2, f3), c2)), c_app(c_app(cons, c_app(c_app(cons, h3), t3)), t)) -> app(app(cons, app(app(cons, app(app(f3, h3), c2)), app(app(app(map_2, f3), c2), t3))), app(null_app, t)) [2]
   app(c_app(map_1, c_app(map_1, f4)), c_app(c_app(cons, c_app(c_app(cons, h4), t4)), t)) -> app(app(cons, app(app(cons, app(f4, h4)), app(app(map_1, f4), t4))), app(c_app(map_1, c_app(map_1, f4)), t)) [2]
   app(c_app(map_1, c_app(map_1, f4)), c_app(c_app(cons, c_app(c_app(cons, h4), t4)), t)) -> app(app(cons, app(app(cons, app(f4, h4)), app(app(map_1, f4), t4))), app(null_app, t)) [2]
   app(c_app(map_1, f), c_app(c_app(cons, h), t)) -> app(app(cons, c_app(f, h)), app(c_app(map_1, f), t)) [1]
   app(c_app(map_1, f), c_app(c_app(cons, h), t)) -> app(app(cons, c_app(f, h)), app(null_app, t)) [1]
   app(c_app(map_1, f), c_app(c_app(cons, h), t)) -> app(app(cons, null_app), app(c_app(map_1, f), t)) [1]
   app(c_app(map_1, f), c_app(c_app(cons, h), t)) -> app(app(cons, null_app), app(null_app, t)) [1]
   encArg(map_1) -> map_1 [0]
   encArg(cons) -> cons [0]
   encArg(map_2) -> map_2 [0]
   encArg(map_3) -> map_3 [0]
   encArg(g) -> g [0]
   encArg(cons_app(x_1, x_2)) -> app(encArg(x_1), encArg(x_2)) [0]
   encode_app(x_1, x_2) -> app(encArg(x_1), encArg(x_2)) [0]
   encode_map_1 -> map_1 [0]
   encode_cons -> cons [0]
   encode_map_2 -> map_2 [0]
   encode_map_3 -> map_3 [0]
   encode_g -> g [0]
   app(x0, x1) -> c_app(x0, x1) [0]
   encArg(v0) -> null_encArg [0]
   encode_app(v0, v1) -> null_encode_app [0]
   encode_map_1 -> null_encode_map_1 [0]
   encode_cons -> null_encode_cons [0]
   encode_map_2 -> null_encode_map_2 [0]
   encode_map_3 -> null_encode_map_3 [0]
   encode_g -> null_encode_g [0]
   app(v0, v1) -> null_app [0]

The TRS has the following type information:
app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
c_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
map_3 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
g :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
cons :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
map_2 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
map_1 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encArg :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
cons_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app -> map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_map_1 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_cons :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_map_2 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_map_3 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
encode_g :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encArg :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_map_1 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_cons :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_map_2 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_map_3 :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_encode_g :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app
null_app :: map_3:c_app:g:cons:map_2:map_1:cons_app:null_encArg:null_encode_app:null_encode_map_1:null_encode_cons:null_encode_map_2:null_encode_map_3:null_encode_g:null_app

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:

   map_3 => 4
   g => 1
   cons => 0
   map_2 => 3
   map_1 => 2
   null_encArg => 0
   null_encode_app => 0
   null_encode_map_1 => 0
   null_encode_cons => 0
   null_encode_map_2 => 0
   null_encode_map_3 => 0
   null_encode_g => 0
   null_app => 0

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

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

   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(f1, h1)), app(app(2, f1), t1)), c)), app(app(0, c), t)) :|: h1 >= 0, c >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h1) + t1)) + t, z = 1 + (1 + 3 + (1 + 2 + f1)) + c, t >= 0, t1 >= 0, f1 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(f1, h1)), app(app(2, f1), t1)), c)), app(app(1 + 3 + (1 + 2 + f1), c), t)) :|: h1 >= 0, c >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h1) + t1)) + t, z = 1 + (1 + 3 + (1 + 2 + f1)) + c, t >= 0, t1 >= 0, f1 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(app(f'', h''), c'')), app(app(app(3, f''), c''), t'')), c)), app(app(0, c), t)) :|: h'' >= 0, c >= 0, f'' >= 0, t'' >= 0, z = 1 + (1 + 3 + (1 + (1 + 3 + f'') + c'')) + c, c'' >= 0, t >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h'') + t'')) + t
   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(app(f'', h''), c'')), app(app(app(3, f''), c''), t'')), c)), app(app(1 + 3 + (1 + (1 + 3 + f'') + c''), c), t)) :|: h'' >= 0, c >= 0, f'' >= 0, t'' >= 0, z = 1 + (1 + 3 + (1 + (1 + 3 + f'') + c'')) + c, c'' >= 0, t >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h'') + t'')) + t
   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(app(app(f', 1), h'), c')), app(app(app(app(4, f'), 1), c'), t')), c)), app(app(0, c), t)) :|: f' >= 0, c >= 0, c' >= 0, t' >= 0, h' >= 0, z = 1 + (1 + 3 + (1 + (1 + (1 + 4 + f') + 1) + c')) + c, t >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h') + t')) + t
   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(app(app(f', 1), h'), c')), app(app(app(app(4, f'), 1), c'), t')), c)), app(app(1 + 3 + (1 + (1 + (1 + 4 + f') + 1) + c'), c), t)) :|: f' >= 0, c >= 0, c' >= 0, t' >= 0, h' >= 0, z = 1 + (1 + 3 + (1 + (1 + (1 + 4 + f') + 1) + c')) + c, t >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h') + t')) + t
   app(z, z') -{ 1 }-> app(app(0, app(app(0, h), c)), app(app(app(0, 1), c), t)) :|: f >= 0, c >= 0, z = 1 + (1 + (1 + 4 + f) + 1) + c, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(app(0, h), c)), app(app(app(1 + 4 + f, 1), c), t)) :|: f >= 0, c >= 0, z = 1 + (1 + (1 + 4 + f) + 1) + c, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(f4, h4)), app(app(2, f4), t4))), app(0, t)) :|: f4 >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h4) + t4)) + t, t >= 0, z = 1 + 2 + (1 + 2 + f4), t4 >= 0, h4 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(f4, h4)), app(app(2, f4), t4))), app(1 + 2 + (1 + 2 + f4), t)) :|: f4 >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h4) + t4)) + t, t >= 0, z = 1 + 2 + (1 + 2 + f4), t4 >= 0, h4 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(app(f3, h3), c2)), app(app(app(3, f3), c2), t3))), app(0, t)) :|: z' = 1 + (1 + 0 + (1 + (1 + 0 + h3) + t3)) + t, c2 >= 0, z = 1 + 2 + (1 + (1 + 3 + f3) + c2), t >= 0, t3 >= 0, f3 >= 0, h3 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(app(f3, h3), c2)), app(app(app(3, f3), c2), t3))), app(1 + 2 + (1 + (1 + 3 + f3) + c2), t)) :|: z' = 1 + (1 + 0 + (1 + (1 + 0 + h3) + t3)) + t, c2 >= 0, z = 1 + 2 + (1 + (1 + 3 + f3) + c2), t >= 0, t3 >= 0, f3 >= 0, h3 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(app(app(f2, 1), h2), c1)), app(app(app(app(4, f2), 1), c1), t2))), app(0, t)) :|: z' = 1 + (1 + 0 + (1 + (1 + 0 + h2) + t2)) + t, f2 >= 0, t >= 0, c1 >= 0, z = 1 + 2 + (1 + (1 + (1 + 4 + f2) + 1) + c1), h2 >= 0, t2 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(app(app(f2, 1), h2), c1)), app(app(app(app(4, f2), 1), c1), t2))), app(1 + 2 + (1 + (1 + (1 + 4 + f2) + 1) + c1), t)) :|: z' = 1 + (1 + 0 + (1 + (1 + 0 + h2) + t2)) + t, f2 >= 0, t >= 0, c1 >= 0, z = 1 + 2 + (1 + (1 + (1 + 4 + f2) + 1) + c1), h2 >= 0, t2 >= 0
   app(z, z') -{ 1 }-> app(app(0, app(app(1 + f + 1, h), c)), app(app(app(0, 1), c), t)) :|: f >= 0, c >= 0, z = 1 + (1 + (1 + 4 + f) + 1) + c, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(app(1 + f + 1, h), c)), app(app(app(1 + 4 + f, 1), c), t)) :|: f >= 0, c >= 0, z = 1 + (1 + (1 + 4 + f) + 1) + c, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(0, c)), app(app(0, c), t)) :|: f >= 0, z = 1 + (1 + 3 + f) + c, c >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(0, c)), app(app(1 + 3 + f, c), t)) :|: f >= 0, z = 1 + (1 + 3 + f) + c, c >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(1 + f + h, c)), app(app(0, c), t)) :|: f >= 0, z = 1 + (1 + 3 + f) + c, c >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(1 + f + h, c)), app(app(1 + 3 + f, c), t)) :|: f >= 0, z = 1 + (1 + 3 + f) + c, c >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, 0), app(0, t)) :|: f >= 0, z = 1 + 2 + f, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, 0), app(1 + 2 + f, t)) :|: f >= 0, z = 1 + 2 + f, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, 1 + f + h), app(0, t)) :|: f >= 0, z = 1 + 2 + f, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, 1 + f + h), app(1 + 2 + f, t)) :|: f >= 0, z = 1 + 2 + f, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   app(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   encArg(z) -{ 0 }-> app(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> 4 :|: z = 4
   encArg(z) -{ 0 }-> 3 :|: z = 3
   encArg(z) -{ 0 }-> 2 :|: z = 2
   encArg(z) -{ 0 }-> 1 :|: z = 1
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_app(z, z') -{ 0 }-> app(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_app(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_cons -{ 0 }-> 0 :|: 
   encode_g -{ 0 }-> 1 :|: 
   encode_g -{ 0 }-> 0 :|: 
   encode_map_1 -{ 0 }-> 2 :|: 
   encode_map_1 -{ 0 }-> 0 :|: 
   encode_map_2 -{ 0 }-> 3 :|: 
   encode_map_2 -{ 0 }-> 0 :|: 
   encode_map_3 -{ 0 }-> 4 :|: 
   encode_map_3 -{ 0 }-> 0 :|: 


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

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

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

   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(f1, h1)), app(app(2, f1), t1)), c)), app(app(0, c), t)) :|: h1 >= 0, c >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h1) + t1)) + t, z = 1 + (1 + 3 + (1 + 2 + f1)) + c, t >= 0, t1 >= 0, f1 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(f1, h1)), app(app(2, f1), t1)), c)), app(app(1 + 3 + (1 + 2 + f1), c), t)) :|: h1 >= 0, c >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h1) + t1)) + t, z = 1 + (1 + 3 + (1 + 2 + f1)) + c, t >= 0, t1 >= 0, f1 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(app(f'', h''), c'')), app(app(app(3, f''), c''), t'')), c)), app(app(0, c), t)) :|: h'' >= 0, c >= 0, f'' >= 0, t'' >= 0, z = 1 + (1 + 3 + (1 + (1 + 3 + f'') + c'')) + c, c'' >= 0, t >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h'') + t'')) + t
   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(app(f'', h''), c'')), app(app(app(3, f''), c''), t'')), c)), app(app(1 + 3 + (1 + (1 + 3 + f'') + c''), c), t)) :|: h'' >= 0, c >= 0, f'' >= 0, t'' >= 0, z = 1 + (1 + 3 + (1 + (1 + 3 + f'') + c'')) + c, c'' >= 0, t >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h'') + t'')) + t
   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(app(app(f', 1), h'), c')), app(app(app(app(4, f'), 1), c'), t')), c)), app(app(0, c), t)) :|: f' >= 0, c >= 0, c' >= 0, t' >= 0, h' >= 0, z = 1 + (1 + 3 + (1 + (1 + (1 + 4 + f') + 1) + c')) + c, t >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h') + t')) + t
   app(z, z') -{ 2 }-> app(app(0, app(app(app(0, app(app(app(f', 1), h'), c')), app(app(app(app(4, f'), 1), c'), t')), c)), app(app(1 + 3 + (1 + (1 + (1 + 4 + f') + 1) + c'), c), t)) :|: f' >= 0, c >= 0, c' >= 0, t' >= 0, h' >= 0, z = 1 + (1 + 3 + (1 + (1 + (1 + 4 + f') + 1) + c')) + c, t >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h') + t')) + t
   app(z, z') -{ 1 }-> app(app(0, app(app(0, h), c)), app(app(app(0, 1), c), t)) :|: f >= 0, c >= 0, z = 1 + (1 + (1 + 4 + f) + 1) + c, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(app(0, h), c)), app(app(app(1 + 4 + f, 1), c), t)) :|: f >= 0, c >= 0, z = 1 + (1 + (1 + 4 + f) + 1) + c, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(app(f3, h3), c2)), app(app(app(3, f3), c2), t3))), app(0, t)) :|: z' = 1 + (1 + 0 + (1 + (1 + 0 + h3) + t3)) + t, c2 >= 0, z = 1 + 2 + (1 + (1 + 3 + f3) + c2), t >= 0, t3 >= 0, f3 >= 0, h3 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(app(f3, h3), c2)), app(app(app(3, f3), c2), t3))), app(1 + 2 + (1 + (1 + 3 + f3) + c2), t)) :|: z' = 1 + (1 + 0 + (1 + (1 + 0 + h3) + t3)) + t, c2 >= 0, z = 1 + 2 + (1 + (1 + 3 + f3) + c2), t >= 0, t3 >= 0, f3 >= 0, h3 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(app(app(f2, 1), h2), c1)), app(app(app(app(4, f2), 1), c1), t2))), app(0, t)) :|: z' = 1 + (1 + 0 + (1 + (1 + 0 + h2) + t2)) + t, f2 >= 0, t >= 0, c1 >= 0, z = 1 + 2 + (1 + (1 + (1 + 4 + f2) + 1) + c1), h2 >= 0, t2 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(app(app(f2, 1), h2), c1)), app(app(app(app(4, f2), 1), c1), t2))), app(1 + 2 + (1 + (1 + (1 + 4 + f2) + 1) + c1), t)) :|: z' = 1 + (1 + 0 + (1 + (1 + 0 + h2) + t2)) + t, f2 >= 0, t >= 0, c1 >= 0, z = 1 + 2 + (1 + (1 + (1 + 4 + f2) + 1) + c1), h2 >= 0, t2 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(z - 6, h4)), app(app(2, z - 6), t4))), app(0, t)) :|: z - 6 >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h4) + t4)) + t, t >= 0, t4 >= 0, h4 >= 0
   app(z, z') -{ 2 }-> app(app(0, app(app(0, app(z - 6, h4)), app(app(2, z - 6), t4))), app(1 + 2 + (1 + 2 + (z - 6)), t)) :|: z - 6 >= 0, z' = 1 + (1 + 0 + (1 + (1 + 0 + h4) + t4)) + t, t >= 0, t4 >= 0, h4 >= 0
   app(z, z') -{ 1 }-> app(app(0, app(app(1 + f + 1, h), c)), app(app(app(0, 1), c), t)) :|: f >= 0, c >= 0, z = 1 + (1 + (1 + 4 + f) + 1) + c, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(app(1 + f + 1, h), c)), app(app(app(1 + 4 + f, 1), c), t)) :|: f >= 0, c >= 0, z = 1 + (1 + (1 + 4 + f) + 1) + c, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(0, c)), app(app(0, c), t)) :|: f >= 0, z = 1 + (1 + 3 + f) + c, c >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(0, c)), app(app(1 + 3 + f, c), t)) :|: f >= 0, z = 1 + (1 + 3 + f) + c, c >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(1 + f + h, c)), app(app(0, c), t)) :|: f >= 0, z = 1 + (1 + 3 + f) + c, c >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, app(1 + f + h, c)), app(app(1 + 3 + f, c), t)) :|: f >= 0, z = 1 + (1 + 3 + f) + c, c >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, 0), app(0, t)) :|: z - 3 >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, 0), app(1 + 2 + (z - 3), t)) :|: z - 3 >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, 1 + (z - 3) + h), app(0, t)) :|: z - 3 >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 1 }-> app(app(0, 1 + (z - 3) + h), app(1 + 2 + (z - 3), t)) :|: z - 3 >= 0, z' = 1 + (1 + 0 + h) + t, h >= 0, t >= 0
   app(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0
   app(z, z') -{ 0 }-> 1 + z + z' :|: z >= 0, z' >= 0
   encArg(z) -{ 0 }-> app(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> 4 :|: z = 4
   encArg(z) -{ 0 }-> 3 :|: z = 3
   encArg(z) -{ 0 }-> 2 :|: z = 2
   encArg(z) -{ 0 }-> 1 :|: z = 1
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encode_app(z, z') -{ 0 }-> app(encArg(z), encArg(z')) :|: z >= 0, z' >= 0
   encode_app(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0
   encode_cons -{ 0 }-> 0 :|: 
   encode_g -{ 0 }-> 1 :|: 
   encode_g -{ 0 }-> 0 :|: 
   encode_map_1 -{ 0 }-> 2 :|: 
   encode_map_1 -{ 0 }-> 0 :|: 
   encode_map_2 -{ 0 }-> 3 :|: 
   encode_map_2 -{ 0 }-> 0 :|: 
   encode_map_3 -{ 0 }-> 4 :|: 
   encode_map_3 -{ 0 }-> 0 :|: 


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

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

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   encode_app(z0, z1) -> app(encArg(z0), encArg(z1))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(map_1) -> c
   ENCARG(cons) -> c1
   ENCARG(map_2) -> c2
   ENCARG(map_3) -> c3
   ENCARG(g) -> c4
   ENCARG(cons_app(z0, z1)) -> c5(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_APP(z0, z1) -> c6(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_MAP_1 -> c7
   ENCODE_CONS -> c8
   ENCODE_MAP_2 -> c9
   ENCODE_MAP_3 -> c10
   ENCODE_G -> c11
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(app(cons, app(z0, z1)), app(app(map_1, z0), z2)), APP(cons, app(z0, z1)), APP(z0, z1), APP(app(map_1, z0), z2), APP(map_1, z0))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3)), APP(cons, app(app(z0, z2), z1)), APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3), APP(app(map_2, z0), z1), APP(map_2, z0))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3)), APP(cons, app(app(app(z0, g), z2), z1)), APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(z0, g), APP(app(app(app(map_3, z0), g), z1), z3), APP(app(app(map_3, z0), g), z1), APP(app(map_3, z0), g), APP(map_3, z0))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(app(cons, app(z0, z1)), app(app(map_1, z0), z2)), APP(cons, app(z0, z1)), APP(z0, z1), APP(app(map_1, z0), z2), APP(map_1, z0))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3)), APP(cons, app(app(z0, z2), z1)), APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3), APP(app(map_2, z0), z1), APP(map_2, z0))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3)), APP(cons, app(app(app(z0, g), z2), z1)), APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(z0, g), APP(app(app(app(map_3, z0), g), z1), z3), APP(app(app(map_3, z0), g), z1), APP(app(map_3, z0), g), APP(map_3, z0))
K tuples:none
Defined Rule Symbols:   app_2, encArg_1, encode_app_2, encode_map_1, encode_cons, encode_map_2, encode_map_3, encode_g

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, ENCODE_MAP_1, ENCODE_CONS, ENCODE_MAP_2, ENCODE_MAP_3, ENCODE_G, APP_2

Compound Symbols:   c, c1, c2, c3, c4, c5_3, c6_3, c7, c8, c9, c10, c11, c12_5, c13_7, c14_9


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

(37) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 10 trailing nodes:
   ENCODE_G -> c11
   ENCARG(g) -> c4
   ENCODE_MAP_3 -> c10
   ENCODE_MAP_1 -> c7
   ENCODE_MAP_2 -> c9
   ENCODE_CONS -> c8
   ENCARG(map_2) -> c2
   ENCARG(cons) -> c1
   ENCARG(map_1) -> c
   ENCARG(map_3) -> c3

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   encode_app(z0, z1) -> app(encArg(z0), encArg(z1))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(z0, z1)) -> c5(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_APP(z0, z1) -> c6(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(app(cons, app(z0, z1)), app(app(map_1, z0), z2)), APP(cons, app(z0, z1)), APP(z0, z1), APP(app(map_1, z0), z2), APP(map_1, z0))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3)), APP(cons, app(app(z0, z2), z1)), APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3), APP(app(map_2, z0), z1), APP(map_2, z0))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3)), APP(cons, app(app(app(z0, g), z2), z1)), APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(z0, g), APP(app(app(app(map_3, z0), g), z1), z3), APP(app(app(map_3, z0), g), z1), APP(app(map_3, z0), g), APP(map_3, z0))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(app(cons, app(z0, z1)), app(app(map_1, z0), z2)), APP(cons, app(z0, z1)), APP(z0, z1), APP(app(map_1, z0), z2), APP(map_1, z0))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3)), APP(cons, app(app(z0, z2), z1)), APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3), APP(app(map_2, z0), z1), APP(map_2, z0))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3)), APP(cons, app(app(app(z0, g), z2), z1)), APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(z0, g), APP(app(app(app(map_3, z0), g), z1), z3), APP(app(app(map_3, z0), g), z1), APP(app(map_3, z0), g), APP(map_3, z0))
K tuples:none
Defined Rule Symbols:   app_2, encArg_1, encode_app_2, encode_map_1, encode_cons, encode_map_2, encode_map_3, encode_g

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_3, c6_3, c12_5, c13_7, c14_9


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

(39) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 13 trailing tuple parts
----------------------------------------

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   encode_app(z0, z1) -> app(encArg(z0), encArg(z1))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(z0, z1)) -> c5(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_APP(z0, z1) -> c6(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   app_2, encArg_1, encode_app_2, encode_map_1, encode_cons, encode_map_2, encode_map_3, encode_g

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_3, c6_3, c12_2, c13_3, c14_3


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   encode_app(z0, z1) -> app(encArg(z0), encArg(z1))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(z0, z1)) -> c5(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1)))
   ENCODE_APP(z0, z1) -> c(ENCARG(z0))
   ENCODE_APP(z0, z1) -> c(ENCARG(z1))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   app_2, encArg_1, encode_app_2, encode_map_1, encode_cons, encode_map_2, encode_map_3, encode_g

Defined Pair Symbols:   ENCARG_1, APP_2, ENCODE_APP_2

Compound Symbols:   c5_3, c12_2, c13_3, c14_3, c_1


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

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

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   encode_app(z0, z1) -> app(encArg(z0), encArg(z1))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(z0, z1)) -> c5(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1)))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   app_2, encArg_1, encode_app_2, encode_map_1, encode_cons, encode_map_2, encode_map_3, encode_g

Defined Pair Symbols:   ENCARG_1, APP_2, ENCODE_APP_2

Compound Symbols:   c5_3, c12_2, c13_3, c14_3, c_1


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

(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_app(z0, z1) -> app(encArg(z0), encArg(z1))
   encode_map_1 -> map_1
   encode_cons -> cons
   encode_map_2 -> map_2
   encode_map_3 -> map_3
   encode_g -> g

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(z0, z1)) -> c5(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1)))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, APP_2, ENCODE_APP_2

Compound Symbols:   c5_3, c12_2, c13_3, c14_3, c_1


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

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_app(z0, z1)) -> c5(APP(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_app(x0, map_1)) -> c5(APP(encArg(x0), map_1), ENCARG(x0), ENCARG(map_1))
   ENCARG(cons_app(x0, cons)) -> c5(APP(encArg(x0), cons), ENCARG(x0), ENCARG(cons))
   ENCARG(cons_app(x0, map_2)) -> c5(APP(encArg(x0), map_2), ENCARG(x0), ENCARG(map_2))
   ENCARG(cons_app(x0, map_3)) -> c5(APP(encArg(x0), map_3), ENCARG(x0), ENCARG(map_3))
   ENCARG(cons_app(x0, g)) -> c5(APP(encArg(x0), g), ENCARG(x0), ENCARG(g))
   ENCARG(cons_app(x0, cons_app(z0, z1))) -> c5(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1)))
   ENCARG(cons_app(map_1, x1)) -> c5(APP(map_1, encArg(x1)), ENCARG(map_1), ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(APP(cons, encArg(x1)), ENCARG(cons), ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(APP(map_2, encArg(x1)), ENCARG(map_2), ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(APP(map_3, encArg(x1)), ENCARG(map_3), ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(APP(g, encArg(x1)), ENCARG(g), ENCARG(x1))
   ENCARG(cons_app(cons_app(z0, z1), x1)) -> c5(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1)))
   ENCARG(cons_app(x0, map_1)) -> c5(APP(encArg(x0), map_1), ENCARG(x0), ENCARG(map_1))
   ENCARG(cons_app(x0, cons)) -> c5(APP(encArg(x0), cons), ENCARG(x0), ENCARG(cons))
   ENCARG(cons_app(x0, map_2)) -> c5(APP(encArg(x0), map_2), ENCARG(x0), ENCARG(map_2))
   ENCARG(cons_app(x0, map_3)) -> c5(APP(encArg(x0), map_3), ENCARG(x0), ENCARG(map_3))
   ENCARG(cons_app(x0, g)) -> c5(APP(encArg(x0), g), ENCARG(x0), ENCARG(g))
   ENCARG(cons_app(x0, cons_app(z0, z1))) -> c5(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1)))
   ENCARG(cons_app(map_1, x1)) -> c5(APP(map_1, encArg(x1)), ENCARG(map_1), ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(APP(cons, encArg(x1)), ENCARG(cons), ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(APP(map_2, encArg(x1)), ENCARG(map_2), ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(APP(map_3, encArg(x1)), ENCARG(map_3), ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(APP(g, encArg(x1)), ENCARG(g), ENCARG(x1))
   ENCARG(cons_app(cons_app(z0, z1), x1)) -> c5(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCODE_APP_2, ENCARG_1

Compound Symbols:   c12_2, c13_3, c14_3, c_1, c5_3


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

(49) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 20 trailing tuple parts
----------------------------------------

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1)))
   ENCARG(cons_app(x0, cons_app(z0, z1))) -> c5(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1)))
   ENCARG(cons_app(cons_app(z0, z1), x1)) -> c5(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCODE_APP_2, ENCARG_1

Compound Symbols:   c12_2, c13_3, c14_3, c_1, c5_3, c5_1


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_APP(z0, z1) -> c(APP(encArg(z0), encArg(z1))) by 
   ENCODE_APP(x0, map_1) -> c(APP(encArg(x0), map_1))
   ENCODE_APP(x0, cons) -> c(APP(encArg(x0), cons))
   ENCODE_APP(x0, map_2) -> c(APP(encArg(x0), map_2))
   ENCODE_APP(x0, map_3) -> c(APP(encArg(x0), map_3))
   ENCODE_APP(x0, g) -> c(APP(encArg(x0), g))
   ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1))))
   ENCODE_APP(map_1, x1) -> c(APP(map_1, encArg(x1)))
   ENCODE_APP(cons, x1) -> c(APP(cons, encArg(x1)))
   ENCODE_APP(map_2, x1) -> c(APP(map_2, encArg(x1)))
   ENCODE_APP(map_3, x1) -> c(APP(map_3, encArg(x1)))
   ENCODE_APP(g, x1) -> c(APP(g, encArg(x1)))
   ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1)))

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, cons_app(z0, z1))) -> c5(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1)))
   ENCARG(cons_app(cons_app(z0, z1), x1)) -> c5(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCODE_APP(x0, map_1) -> c(APP(encArg(x0), map_1))
   ENCODE_APP(x0, cons) -> c(APP(encArg(x0), cons))
   ENCODE_APP(x0, map_2) -> c(APP(encArg(x0), map_2))
   ENCODE_APP(x0, map_3) -> c(APP(encArg(x0), map_3))
   ENCODE_APP(x0, g) -> c(APP(encArg(x0), g))
   ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1))))
   ENCODE_APP(map_1, x1) -> c(APP(map_1, encArg(x1)))
   ENCODE_APP(cons, x1) -> c(APP(cons, encArg(x1)))
   ENCODE_APP(map_2, x1) -> c(APP(map_2, encArg(x1)))
   ENCODE_APP(map_3, x1) -> c(APP(map_3, encArg(x1)))
   ENCODE_APP(g, x1) -> c(APP(g, encArg(x1)))
   ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1)))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c12_2, c13_3, c14_3, c5_3, c5_1, c_1


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

(53) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 10 trailing nodes:
   ENCODE_APP(x0, cons) -> c(APP(encArg(x0), cons))
   ENCODE_APP(cons, x1) -> c(APP(cons, encArg(x1)))
   ENCODE_APP(x0, g) -> c(APP(encArg(x0), g))
   ENCODE_APP(x0, map_3) -> c(APP(encArg(x0), map_3))
   ENCODE_APP(g, x1) -> c(APP(g, encArg(x1)))
   ENCODE_APP(x0, map_1) -> c(APP(encArg(x0), map_1))
   ENCODE_APP(map_2, x1) -> c(APP(map_2, encArg(x1)))
   ENCODE_APP(map_1, x1) -> c(APP(map_1, encArg(x1)))
   ENCODE_APP(map_3, x1) -> c(APP(map_3, encArg(x1)))
   ENCODE_APP(x0, map_2) -> c(APP(encArg(x0), map_2))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, cons_app(z0, z1))) -> c5(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1)))
   ENCARG(cons_app(cons_app(z0, z1), x1)) -> c5(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1))))
   ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1)))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c12_2, c13_3, c14_3, c5_3, c5_1, c_1


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_app(x0, cons_app(z0, z1))) -> c5(APP(encArg(x0), app(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_app(z0, z1))) by 
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(APP(encArg(x0), app(map_1, encArg(x2))), ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(APP(encArg(x0), app(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(APP(encArg(x0), app(map_2, encArg(x2))), ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(APP(encArg(x0), app(map_3, encArg(x2))), ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(APP(encArg(x0), app(g, encArg(x2))), ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(APP(map_1, app(encArg(x1), encArg(x2))), ENCARG(map_1), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(APP(cons, app(encArg(x1), encArg(x2))), ENCARG(cons), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(APP(map_2, app(encArg(x1), encArg(x2))), ENCARG(map_2), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(APP(map_3, app(encArg(x1), encArg(x2))), ENCARG(map_3), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(APP(g, app(encArg(x1), encArg(x2))), ENCARG(g), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(cons_app(z0, z1), x1)) -> c5(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1))))
   ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(APP(encArg(x0), app(map_1, encArg(x2))), ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(APP(encArg(x0), app(cons, encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(APP(encArg(x0), app(map_2, encArg(x2))), ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(APP(encArg(x0), app(map_3, encArg(x2))), ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(APP(encArg(x0), app(g, encArg(x2))), ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(APP(map_1, app(encArg(x1), encArg(x2))), ENCARG(map_1), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(APP(cons, app(encArg(x1), encArg(x2))), ENCARG(cons), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(APP(map_2, app(encArg(x1), encArg(x2))), ENCARG(map_2), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(APP(map_3, app(encArg(x1), encArg(x2))), ENCARG(map_3), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(APP(g, app(encArg(x1), encArg(x2))), ENCARG(g), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c12_2, c13_3, c14_3, c5_3, c5_1, c_1


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

(57) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 15 trailing tuple parts
----------------------------------------

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(cons_app(z0, z1), x1)) -> c5(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1))))
   ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c12_2, c13_3, c14_3, c5_3, c5_1, c_1, c5_2


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

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_app(cons_app(z0, z1), x1)) -> c5(APP(app(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_app(z0, z1)), ENCARG(x1)) by 
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(APP(app(encArg(x0), encArg(x1)), map_1), ENCARG(cons_app(x0, x1)), ENCARG(map_1))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(APP(app(encArg(x0), encArg(x1)), cons), ENCARG(cons_app(x0, x1)), ENCARG(cons))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(APP(app(encArg(x0), encArg(x1)), map_2), ENCARG(cons_app(x0, x1)), ENCARG(map_2))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(APP(app(encArg(x0), encArg(x1)), map_3), ENCARG(cons_app(x0, x1)), ENCARG(map_3))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(APP(app(encArg(x0), encArg(x1)), g), ENCARG(cons_app(x0, x1)), ENCARG(g))
   ENCARG(cons_app(cons_app(x0, x1), cons_app(z0, z1))) -> c5(APP(app(encArg(x0), encArg(x1)), app(encArg(z0), encArg(z1))), ENCARG(cons_app(x0, x1)), ENCARG(cons_app(z0, z1)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(APP(app(cons, encArg(x1)), encArg(x2)), ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(APP(app(map_2, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(APP(app(map_3, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(APP(app(g, encArg(x1)), encArg(x2)), ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1))))
   ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(APP(app(encArg(x0), encArg(x1)), map_1), ENCARG(cons_app(x0, x1)), ENCARG(map_1))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(APP(app(encArg(x0), encArg(x1)), cons), ENCARG(cons_app(x0, x1)), ENCARG(cons))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(APP(app(encArg(x0), encArg(x1)), map_2), ENCARG(cons_app(x0, x1)), ENCARG(map_2))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(APP(app(encArg(x0), encArg(x1)), map_3), ENCARG(cons_app(x0, x1)), ENCARG(map_3))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(APP(app(encArg(x0), encArg(x1)), g), ENCARG(cons_app(x0, x1)), ENCARG(g))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(APP(app(cons, encArg(x1)), encArg(x2)), ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(APP(app(map_2, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(APP(app(map_3, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(APP(app(g, encArg(x1)), encArg(x2)), ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c12_2, c13_3, c14_3, c5_1, c_1, c5_3, c5_2


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

(61) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 14 trailing tuple parts
----------------------------------------

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1))))
   ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c12_2, c13_3, c14_3, c5_1, c_1, c5_3, c5_2


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

(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_APP(x0, cons_app(z0, z1)) -> c(APP(encArg(x0), app(encArg(z0), encArg(z1)))) by 
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(map_1, x2)) -> c(APP(encArg(x0), app(map_1, encArg(x2))))
   ENCODE_APP(x0, cons_app(cons, x2)) -> c(APP(encArg(x0), app(cons, encArg(x2))))
   ENCODE_APP(x0, cons_app(map_2, x2)) -> c(APP(encArg(x0), app(map_2, encArg(x2))))
   ENCODE_APP(x0, cons_app(map_3, x2)) -> c(APP(encArg(x0), app(map_3, encArg(x2))))
   ENCODE_APP(x0, cons_app(g, x2)) -> c(APP(encArg(x0), app(g, encArg(x2))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(map_1, cons_app(x1, x2)) -> c(APP(map_1, app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons, cons_app(x1, x2)) -> c(APP(cons, app(encArg(x1), encArg(x2))))
   ENCODE_APP(map_2, cons_app(x1, x2)) -> c(APP(map_2, app(encArg(x1), encArg(x2))))
   ENCODE_APP(map_3, cons_app(x1, x2)) -> c(APP(map_3, app(encArg(x1), encArg(x2))))
   ENCODE_APP(g, cons_app(x1, x2)) -> c(APP(g, app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(map_1, x2)) -> c(APP(encArg(x0), app(map_1, encArg(x2))))
   ENCODE_APP(x0, cons_app(cons, x2)) -> c(APP(encArg(x0), app(cons, encArg(x2))))
   ENCODE_APP(x0, cons_app(map_2, x2)) -> c(APP(encArg(x0), app(map_2, encArg(x2))))
   ENCODE_APP(x0, cons_app(map_3, x2)) -> c(APP(encArg(x0), app(map_3, encArg(x2))))
   ENCODE_APP(x0, cons_app(g, x2)) -> c(APP(encArg(x0), app(g, encArg(x2))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(map_1, cons_app(x1, x2)) -> c(APP(map_1, app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons, cons_app(x1, x2)) -> c(APP(cons, app(encArg(x1), encArg(x2))))
   ENCODE_APP(map_2, cons_app(x1, x2)) -> c(APP(map_2, app(encArg(x1), encArg(x2))))
   ENCODE_APP(map_3, cons_app(x1, x2)) -> c(APP(map_3, app(encArg(x1), encArg(x2))))
   ENCODE_APP(g, cons_app(x1, x2)) -> c(APP(g, app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c12_2, c13_3, c14_3, c5_1, c_1, c5_3, c5_2


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

(65) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 10 trailing nodes:
   ENCODE_APP(map_1, cons_app(x1, x2)) -> c(APP(map_1, app(encArg(x1), encArg(x2))))
   ENCODE_APP(x0, cons_app(g, x2)) -> c(APP(encArg(x0), app(g, encArg(x2))))
   ENCODE_APP(cons, cons_app(x1, x2)) -> c(APP(cons, app(encArg(x1), encArg(x2))))
   ENCODE_APP(x0, cons_app(cons, x2)) -> c(APP(encArg(x0), app(cons, encArg(x2))))
   ENCODE_APP(x0, cons_app(map_2, x2)) -> c(APP(encArg(x0), app(map_2, encArg(x2))))
   ENCODE_APP(g, cons_app(x1, x2)) -> c(APP(g, app(encArg(x1), encArg(x2))))
   ENCODE_APP(x0, cons_app(map_1, x2)) -> c(APP(encArg(x0), app(map_1, encArg(x2))))
   ENCODE_APP(map_2, cons_app(x1, x2)) -> c(APP(map_2, app(encArg(x1), encArg(x2))))
   ENCODE_APP(x0, cons_app(map_3, x2)) -> c(APP(encArg(x0), app(map_3, encArg(x2))))
   ENCODE_APP(map_3, cons_app(x1, x2)) -> c(APP(map_3, app(encArg(x1), encArg(x2))))

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c12_2, c13_3, c14_3, c5_1, c_1, c5_3, c5_2


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

(67) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_APP(cons_app(z0, z1), x1) -> c(APP(app(encArg(z0), encArg(z1)), encArg(x1))) by 
   ENCODE_APP(cons_app(x0, x1), map_1) -> c(APP(app(encArg(x0), encArg(x1)), map_1))
   ENCODE_APP(cons_app(x0, x1), cons) -> c(APP(app(encArg(x0), encArg(x1)), cons))
   ENCODE_APP(cons_app(x0, x1), map_2) -> c(APP(app(encArg(x0), encArg(x1)), map_2))
   ENCODE_APP(cons_app(x0, x1), map_3) -> c(APP(app(encArg(x0), encArg(x1)), map_3))
   ENCODE_APP(cons_app(x0, x1), g) -> c(APP(app(encArg(x0), encArg(x1)), g))
   ENCODE_APP(cons_app(x0, x1), cons_app(z0, z1)) -> c(APP(app(encArg(x0), encArg(x1)), app(encArg(z0), encArg(z1))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons, x1), x2) -> c(APP(app(cons, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(map_2, x1), x2) -> c(APP(app(map_2, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(map_3, x1), x2) -> c(APP(app(map_3, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(g, x1), x2) -> c(APP(app(g, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, x1), map_1) -> c(APP(app(encArg(x0), encArg(x1)), map_1))
   ENCODE_APP(cons_app(x0, x1), cons) -> c(APP(app(encArg(x0), encArg(x1)), cons))
   ENCODE_APP(cons_app(x0, x1), map_2) -> c(APP(app(encArg(x0), encArg(x1)), map_2))
   ENCODE_APP(cons_app(x0, x1), map_3) -> c(APP(app(encArg(x0), encArg(x1)), map_3))
   ENCODE_APP(cons_app(x0, x1), g) -> c(APP(app(encArg(x0), encArg(x1)), g))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons, x1), x2) -> c(APP(app(cons, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(map_2, x1), x2) -> c(APP(app(map_2, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(map_3, x1), x2) -> c(APP(app(map_3, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(g, x1), x2) -> c(APP(app(g, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c12_2, c13_3, c14_3, c5_1, c5_3, c5_2, c_1


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

(69) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 9 trailing nodes:
   ENCODE_APP(cons_app(g, x1), x2) -> c(APP(app(g, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(x0, x1), g) -> c(APP(app(encArg(x0), encArg(x1)), g))
   ENCODE_APP(cons_app(x0, x1), cons) -> c(APP(app(encArg(x0), encArg(x1)), cons))
   ENCODE_APP(cons_app(map_3, x1), x2) -> c(APP(app(map_3, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(x0, x1), map_3) -> c(APP(app(encArg(x0), encArg(x1)), map_3))
   ENCODE_APP(cons_app(x0, x1), map_1) -> c(APP(app(encArg(x0), encArg(x1)), map_1))
   ENCODE_APP(cons_app(cons, x1), x2) -> c(APP(app(cons, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(x0, x1), map_2) -> c(APP(app(encArg(x0), encArg(x1)), map_2))
   ENCODE_APP(cons_app(map_2, x1), x2) -> c(APP(app(map_2, encArg(x1)), encArg(x2)))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
S tuples:
   APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c12_2, c13_3, c14_3, c5_1, c5_3, c5_2, c_1


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

(71) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace APP(app(map_1, z0), app(app(cons, z1), z2)) -> c12(APP(z0, z1), APP(app(map_1, z0), z2)) by 
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
S tuples:
   APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c13_3, c14_3, c5_1, c5_3, c5_2, c_1, c12_2


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

(73) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), z3)) by 
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(map_2, y0), z2), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_2, y0), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(map_2, y0), y1), app(app(cons, y2), y3)), z1), APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(map_2, y0), y1)), z1), z3))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_3, y0), g), z2), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(map_1, app(map_1, y0)), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(map_1, z2), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(map_1, app(app(map_2, y0), y1)), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(map_1, app(app(app(map_3, y0), g), y1)), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))

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

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(map_2, y0), z2), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_2, y0), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(map_2, y0), y1), app(app(cons, y2), y3)), z1), APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(map_2, y0), y1)), z1), z3))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_3, y0), g), z2), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(map_1, app(map_1, y0)), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(map_1, z2), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(map_1, app(app(map_2, y0), y1)), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(map_1, app(app(app(map_3, y0), g), y1)), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(map_2, y0), z2), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_2, y0), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(map_2, y0), y1), app(app(cons, y2), y3)), z1), APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(map_2, y0), y1)), z1), z3))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_3, y0), g), z2), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(map_1, app(map_1, y0)), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(map_1, z2), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(map_1, app(app(map_2, y0), y1)), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(map_1, app(app(app(map_3, y0), g), y1)), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3


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

(75) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing tuple parts
----------------------------------------

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, app(app(map_2, y0), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(map_2, y0), y1), app(app(cons, y2), y3)), z1), APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(map_2, y0), y1)), z1), z3))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), z3))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, app(app(map_2, y0), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(map_2, y0), y1), app(app(cons, y2), y3)), z1), APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(map_2, y0), y1)), z1), z3))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), z3))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2


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

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(map_2, app(app(map_2, y0), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(map_2, y0), y1), app(app(cons, y2), y3)), z1), APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(map_2, y0), y1)), z1), z3)) by 
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3)), x2), APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), z3))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3)), x2), APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), z3))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3)), x2), APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), z3))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), z3))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

(81) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c13(APP(app(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), z1), z3)) by 
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3)), x2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3)), x2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3)), x2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

(85) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), app(app(cons, app(app(cons, app(app(cons, y1), y2)), y3)), z3)) -> c13(APP(app(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), z1), APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), y3)), APP(app(app(map_2, app(map_1, app(map_1, y0))), z1), z3)) by 
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), z2)), x5)) -> c13(APP(app(app(cons, app(app(map_1, x0), app(app(cons, x2), x3))), app(app(map_1, app(map_1, x0)), z2)), x1), APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), z2)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), z2)), x5)) -> c13(APP(app(app(cons, app(app(map_1, x0), app(app(cons, x2), x3))), app(app(map_1, app(map_1, x0)), z2)), x1), APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), z2)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), z2)), x5)) -> c13(APP(app(app(cons, app(app(map_1, x0), app(app(cons, x2), x3))), app(app(map_1, app(map_1, x0)), z2)), x1), APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), z2)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(map_2, app(map_1, y0)), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c13(APP(app(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, y0), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(map_2, app(map_1, y0)), z1), z3)) by 
   APP(app(app(map_2, app(map_1, z0)), x1), app(app(cons, app(app(cons, z1), app(app(cons, x3), x4))), x5)) -> c13(APP(app(app(cons, app(z0, z1)), app(app(map_1, z0), app(app(cons, x3), x4))), x1), APP(app(map_1, z0), app(app(cons, z1), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, z0)), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, z0)), x1), app(app(cons, app(app(cons, z1), app(app(cons, x3), x4))), x5)) -> c13(APP(app(app(cons, app(z0, z1)), app(app(map_1, z0), app(app(cons, x3), x4))), x1), APP(app(map_1, z0), app(app(cons, z1), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, z0)), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, z0)), x1), app(app(cons, app(app(cons, z1), app(app(cons, x3), x4))), x5)) -> c13(APP(app(app(cons, app(z0, z1)), app(app(map_1, z0), app(app(cons, x3), x4))), x1), APP(app(map_1, z0), app(app(cons, z1), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, z0)), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

(93) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), z1), z3)) by 
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z2)), x6)) -> c13(APP(app(app(cons, app(app(app(map_2, x0), x1), app(app(cons, x3), x4))), app(app(map_1, app(app(map_2, x0), x1)), z2)), x2), APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), z2)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z2)), x6)) -> c13(APP(app(app(cons, app(app(app(map_2, x0), x1), app(app(cons, x3), x4))), app(app(map_1, app(app(map_2, x0), x1)), z2)), x2), APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), z2)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z2)), x6)) -> c13(APP(app(app(cons, app(app(app(map_2, x0), x1), app(app(cons, x3), x4))), app(app(map_1, app(app(map_2, x0), x1)), z2)), x2), APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), z2)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

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

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), z3)) -> c13(APP(app(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), z1), APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), y4)), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), z1), z3)) by 
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z2)), x6)) -> c13(APP(app(app(cons, app(app(app(app(map_3, x0), g), x1), app(app(cons, x3), x4))), app(app(map_1, app(app(app(map_3, x0), g), x1)), z2)), x2), APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), z2)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))

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

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z2)), x6)) -> c13(APP(app(app(cons, app(app(app(app(map_3, x0), g), x1), app(app(cons, x3), x4))), app(app(map_1, app(app(app(map_3, x0), g), x1)), z2)), x2), APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), z2)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z2)), x6)) -> c13(APP(app(app(cons, app(app(app(app(map_3, x0), g), x1), app(app(cons, x3), x4))), app(app(map_1, app(app(app(map_3, x0), g), x1)), z2)), x2), APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), z2)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

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

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
S tuples:
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   APP_2, ENCARG_1, ENCODE_APP_2

Compound Symbols:   c14_3, c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1


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

(101) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_3, y0), g), z2), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, map_1), g), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c14(APP(app(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(app(map_3, map_1), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(map_2, g), z2), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_3, y0), g), z2), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, map_1), g), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c14(APP(app(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(app(map_3, map_1), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(map_2, g), z2), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_3, y0), g), z2), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, map_1), g), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c14(APP(app(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(app(map_3, map_1), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(map_2, g), z2), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3


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

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

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, map_1), g), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c14(APP(app(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(app(map_3, map_1), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), z3))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, map_1), g), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c14(APP(app(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(app(map_3, map_1), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(105) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), z1), APP(app(app(app(map_3, y0), g), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(app(map_3, y0), g)), g), z1), z3)) by 
   APP(app(app(app(map_3, app(app(map_3, z0), g)), g), x1), app(app(cons, app(app(cons, z2), z3)), x4)) -> c14(APP(app(app(cons, app(app(app(z0, g), z2), g)), app(app(app(app(map_3, z0), g), g), z3)), x1), APP(app(app(app(map_3, z0), g), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(app(map_3, z0), g)), g), x1), x4))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))

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

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, map_1), g), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c14(APP(app(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(app(map_3, map_1), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, z0), g)), g), x1), app(app(cons, app(app(cons, z2), z3)), x4)) -> c14(APP(app(app(cons, app(app(app(z0, g), z2), g)), app(app(app(app(map_3, z0), g), g), z3)), x1), APP(app(app(app(map_3, z0), g), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(app(map_3, z0), g)), g), x1), x4))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, map_1), g), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c14(APP(app(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(app(map_3, map_1), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, z0), g)), g), x1), app(app(cons, app(app(cons, z2), z3)), x4)) -> c14(APP(app(app(cons, app(app(app(z0, g), z2), g)), app(app(app(app(map_3, z0), g), g), z3)), x1), APP(app(app(app(map_3, z0), g), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(app(map_3, z0), g)), g), x1), x4))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, map_1), g), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c14(APP(app(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(app(map_3, map_1), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, map_1), g), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c14(APP(app(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(app(map_3, map_1), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(109) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, map_1), g), z1), app(app(cons, app(app(cons, y1), app(app(cons, y2), y3))), z3)) -> c14(APP(app(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), z1), APP(app(map_1, g), app(app(cons, y1), app(app(cons, y2), y3))), APP(app(app(app(map_3, map_1), g), z1), z3)) by 
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, z1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(app(cons, app(g, z1)), app(app(map_1, g), app(app(cons, x2), x3))), x0), APP(app(map_1, g), app(app(cons, z1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))

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

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, z1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(app(cons, app(g, z1)), app(app(map_1, g), app(app(cons, x2), x3))), x0), APP(app(map_1, g), app(app(cons, z1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, z1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(app(cons, app(g, z1)), app(app(map_1, g), app(app(cons, x2), x3))), x0), APP(app(map_1, g), app(app(cons, z1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(113) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, y0)), g), z1), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), z3)) -> c14(APP(app(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), z1), APP(app(app(map_2, y0), g), app(app(cons, y2), app(app(cons, y3), y4))), APP(app(app(app(map_3, app(map_2, y0)), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, z0)), g), x1), app(app(cons, app(app(cons, z2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(cons, app(app(z0, z2), g)), app(app(app(map_2, z0), g), app(app(cons, x3), x4))), x1), APP(app(app(map_2, z0), g), app(app(cons, z2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, z0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))

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

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, z0)), g), x1), app(app(cons, app(app(cons, z2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(cons, app(app(z0, z2), g)), app(app(app(map_2, z0), g), app(app(cons, x3), x4))), x1), APP(app(app(map_2, z0), g), app(app(cons, z2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, z0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, z0)), g), x1), app(app(cons, app(app(cons, z2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(cons, app(app(z0, z2), g)), app(app(app(map_2, z0), g), app(app(cons, x3), x4))), x1), APP(app(app(map_2, z0), g), app(app(cons, z2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, z0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(117) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(map_2, y0)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(map_2, y0))), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, z2), z3)), x4)) -> c14(APP(app(app(cons, app(app(app(map_2, x0), z2), g)), app(app(app(map_2, app(map_2, x0)), g), z3)), x1), APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))

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

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, z2), z3)), x4)) -> c14(APP(app(app(cons, app(app(app(map_2, x0), z2), g)), app(app(app(map_2, app(map_2, x0)), g), z3)), x1), APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, z2), z3)), x4)) -> c14(APP(app(app(cons, app(app(app(map_2, x0), z2), g)), app(app(app(map_2, app(map_2, x0)), g), z3)), x1), APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(121) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), app(app(cons, app(app(cons, y2), y3)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), z1), APP(app(app(map_2, app(app(map_3, y0), g)), g), app(app(cons, y2), y3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, y0), g))), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, z2), z3)), x4)) -> c14(APP(app(app(cons, app(app(app(app(map_3, x0), g), z2), g)), app(app(app(map_2, app(app(map_3, x0), g)), g), z3)), x1), APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))

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

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, z2), z3)), x4)) -> c14(APP(app(app(cons, app(app(app(app(map_3, x0), g), z2), g)), app(app(app(map_2, app(app(map_3, x0), g)), g), z3)), x1), APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, z2), z3)), x4)) -> c14(APP(app(app(cons, app(app(app(app(map_3, x0), g), z2), g)), app(app(app(map_2, app(app(map_3, x0), g)), g), z3)), x1), APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(125) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(map_1, y1)), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, y1)), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), z3)), x3)) -> c14(APP(app(app(cons, app(app(map_1, app(map_1, x1)), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))

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

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), z3)), x3)) -> c14(APP(app(app(cons, app(app(map_1, app(map_1, x1)), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), z3)), x3)) -> c14(APP(app(app(cons, app(app(map_1, app(map_1, x1)), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(129) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, y1), y2)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, y1), y2)), z1), APP(app(app(map_2, map_1), g), app(app(cons, y1), y2)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, z2), z3)), x3)) -> c14(APP(app(app(cons, app(app(map_1, z2), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))

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

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, z2), z3)), x3)) -> c14(APP(app(app(cons, app(app(map_1, z2), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, z2), z3)), x3)) -> c14(APP(app(app(cons, app(app(map_1, z2), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, z2), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(133) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(map_2, y1), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, y1), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), z3)), x4)) -> c14(APP(app(app(cons, app(app(map_1, app(app(map_2, x1), x2)), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))

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

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), z3)), x4)) -> c14(APP(app(app(cons, app(app(map_1, app(app(map_2, x1), x2)), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), z3)), x4)) -> c14(APP(app(app(cons, app(app(map_1, app(app(map_2, x1), x2)), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(137) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, map_1)), g), z1), app(app(cons, app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z3)) -> c14(APP(app(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), z1), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, y1), g), y2)), y3)), APP(app(app(app(map_3, app(map_2, map_1)), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), z3)), x4)) -> c14(APP(app(app(cons, app(app(map_1, app(app(app(map_3, x1), g), x2)), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))

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

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), z3)), x4)) -> c14(APP(app(app(cons, app(app(map_1, app(app(app(map_3, x1), g), x2)), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), z3)), x4)) -> c14(APP(app(app(cons, app(app(map_1, app(app(app(map_3, x1), g), x2)), g)), app(app(app(map_2, map_1), g), z3)), x0), APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), z3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(140)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(141) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(map_2, y0), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, y0), y1))), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(app(map_2, x0), x1), app(app(cons, x3), x4)), g)), app(app(app(map_2, app(app(map_2, x0), x1)), g), z3)), x2), APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), z3)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))

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

(142)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(app(map_2, x0), x1), app(app(cons, x3), x4)), g)), app(app(app(map_2, app(app(map_2, x0), x1)), g), z3)), x2), APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), z3)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(app(map_2, x0), x1), app(app(cons, x3), x4)), g)), app(app(app(map_2, app(app(map_2, x0), x1)), g), z3)), x2), APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), z3)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(144)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(145) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), z1), APP(app(app(map_2, app(app(app(map_3, y0), g), y1)), g), app(app(cons, app(app(cons, y3), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, y0), g), y1))), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(app(app(map_3, x0), g), x1), app(app(cons, x3), x4)), g)), app(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), z3)), x2), APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), z3)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))

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

(146)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(app(app(map_3, x0), g), x1), app(app(cons, x3), x4)), g)), app(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), z3)), x2), APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), z3)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(app(app(map_3, x0), g), x1), app(app(cons, x3), x4)), g)), app(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), z3)), x2), APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), z3)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(148)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(149) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), z1), APP(app(app(map_2, app(map_1, app(map_1, y0))), g), app(app(cons, app(app(cons, app(app(cons, y2), y3)), y4)), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, y0)))), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), g)), app(app(app(map_2, app(map_1, app(map_1, x0))), g), z3)), x1), APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))

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

(150)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), g)), app(app(app(map_2, app(map_1, app(map_1, x0))), g), z3)), x1), APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), g)), app(app(app(map_2, app(map_1, app(map_1, x0))), g), z3)), x1), APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(152)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(153) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), app(app(cons, app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), z1), APP(app(app(map_2, app(map_1, y0)), g), app(app(cons, app(app(cons, y2), app(app(cons, y3), y4))), y5)), APP(app(app(app(map_3, app(map_2, app(map_1, y0))), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), g)), app(app(app(map_2, app(map_1, x0)), g), z3)), x1), APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))

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

(154)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), g)), app(app(app(map_2, app(map_1, x0)), g), z3)), x1), APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), z3)), x6)) -> c14(APP(app(app(cons, app(app(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), g)), app(app(app(map_2, app(map_1, x0)), g), z3)), x1), APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(156)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(157) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(map_2, y0), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, y0), y1)))), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), x7)) -> c14(APP(app(app(cons, app(app(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), g)), app(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), z3)), x2), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))

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

(158)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), x7)) -> c14(APP(app(app(cons, app(app(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), g)), app(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), z3)), x2), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), x7)) -> c14(APP(app(app(cons, app(app(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), g)), app(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), z3)), x2), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(160)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(161) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z3)) -> c14(APP(app(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), z1), APP(app(app(map_2, app(map_1, app(app(app(map_3, y0), g), y1))), g), app(app(cons, app(app(cons, app(app(cons, y3), y4)), y5)), y6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, y0), g), y1)))), g), z1), z3)) by 
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), x7)) -> c14(APP(app(app(cons, app(app(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), g)), app(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), z3)), x2), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), x7))

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

(162)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), x7)) -> c14(APP(app(app(cons, app(app(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), g)), app(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), z3)), x2), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), x7))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), x7)) -> c14(APP(app(app(cons, app(app(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), g)), app(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), z3)), x2), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), z3)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), x7))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

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

(164)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), x7))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), x7))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2


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

(165) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace ENCARG(cons_app(x0, map_1)) -> c5(ENCARG(x0)) by 
   ENCARG(cons_app(cons_app(y0, map_1), map_1)) -> c5(ENCARG(cons_app(y0, map_1)))
   ENCARG(cons_app(cons_app(y0, cons), map_1)) -> c5(ENCARG(cons_app(y0, cons)))
   ENCARG(cons_app(cons_app(y0, map_2), map_1)) -> c5(ENCARG(cons_app(y0, map_2)))
   ENCARG(cons_app(cons_app(y0, map_3), map_1)) -> c5(ENCARG(cons_app(y0, map_3)))
   ENCARG(cons_app(cons_app(y0, g), map_1)) -> c5(ENCARG(cons_app(y0, g)))
   ENCARG(cons_app(cons_app(map_1, y0), map_1)) -> c5(ENCARG(cons_app(map_1, y0)))
   ENCARG(cons_app(cons_app(cons, y0), map_1)) -> c5(ENCARG(cons_app(cons, y0)))
   ENCARG(cons_app(cons_app(map_2, y0), map_1)) -> c5(ENCARG(cons_app(map_2, y0)))
   ENCARG(cons_app(cons_app(map_3, y0), map_1)) -> c5(ENCARG(cons_app(map_3, y0)))
   ENCARG(cons_app(cons_app(g, y0), map_1)) -> c5(ENCARG(cons_app(g, y0)))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, map_1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, map_1))))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, cons)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, cons))))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, map_2)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, map_2))))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, map_3)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, map_3))))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, g)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, g))))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, cons_app(y2, y3))), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, cons_app(y2, y3)))))
   ENCARG(cons_app(cons_app(y0, cons_app(cons_app(y1, y2), y3)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(cons_app(y1, y2), y3))))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), cons_app(y2, y3)), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), cons_app(y2, y3))))
   ENCARG(cons_app(cons_app(y0, cons_app(map_1, y1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(map_1, y1))))
   ENCARG(cons_app(cons_app(y0, cons_app(cons, y1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(cons, y1))))
   ENCARG(cons_app(cons_app(y0, cons_app(map_2, y1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(map_2, y1))))
   ENCARG(cons_app(cons_app(y0, cons_app(map_3, y1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(map_3, y1))))
   ENCARG(cons_app(cons_app(y0, cons_app(g, y1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(g, y1))))
   ENCARG(cons_app(cons_app(map_1, cons_app(y0, y1)), map_1)) -> c5(ENCARG(cons_app(map_1, cons_app(y0, y1))))
   ENCARG(cons_app(cons_app(cons, cons_app(y0, y1)), map_1)) -> c5(ENCARG(cons_app(cons, cons_app(y0, y1))))
   ENCARG(cons_app(cons_app(map_2, cons_app(y0, y1)), map_1)) -> c5(ENCARG(cons_app(map_2, cons_app(y0, y1))))
   ENCARG(cons_app(cons_app(map_3, cons_app(y0, y1)), map_1)) -> c5(ENCARG(cons_app(map_3, cons_app(y0, y1))))
   ENCARG(cons_app(cons_app(g, cons_app(y0, y1)), map_1)) -> c5(ENCARG(cons_app(g, cons_app(y0, y1))))
   ENCARG(cons_app(cons_app(cons_app(y0, map_1), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, map_1), y1)))
   ENCARG(cons_app(cons_app(cons_app(y0, cons), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, cons), y1)))
   ENCARG(cons_app(cons_app(cons_app(y0, map_2), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, map_2), y1)))
   ENCARG(cons_app(cons_app(cons_app(y0, map_3), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, map_3), y1)))
   ENCARG(cons_app(cons_app(cons_app(y0, g), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, g), y1)))
   ENCARG(cons_app(cons_app(cons_app(y0, cons_app(y1, y2)), y3), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, cons_app(y1, y2)), y3)))
   ENCARG(cons_app(cons_app(cons_app(map_1, y0), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(map_1, y0), y1)))
   ENCARG(cons_app(cons_app(cons_app(cons_app(y0, y1), y2), y3), map_1)) -> c5(ENCARG(cons_app(cons_app(cons_app(y0, y1), y2), y3)))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), map_1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), map_1)))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), cons), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), cons)))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), map_2), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), map_2)))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), map_3), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), map_3)))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), g), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), g)))
   ENCARG(cons_app(cons_app(cons_app(cons, y0), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(cons, y0), y1)))
   ENCARG(cons_app(cons_app(cons_app(map_2, y0), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(map_2, y0), y1)))
   ENCARG(cons_app(cons_app(cons_app(map_3, y0), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(map_3, y0), y1)))
   ENCARG(cons_app(cons_app(cons_app(g, y0), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(g, y0), y1)))

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

(166)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(map_1) -> map_1
   encArg(cons) -> cons
   encArg(map_2) -> map_2
   encArg(map_3) -> map_3
   encArg(g) -> g
   encArg(cons_app(z0, z1)) -> app(encArg(z0), encArg(z1))
   app(app(map_1, z0), app(app(cons, z1), z2)) -> app(app(cons, app(z0, z1)), app(app(map_1, z0), z2))
   app(app(app(map_2, z0), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(z0, z2), z1)), app(app(app(map_2, z0), z1), z3))
   app(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)) -> app(app(cons, app(app(app(z0, g), z2), z1)), app(app(app(app(map_3, z0), g), z1), z3))
Tuples:
   ENCARG(cons_app(x0, cons)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_2)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, map_3)) -> c5(ENCARG(x0))
   ENCARG(cons_app(x0, g)) -> c5(ENCARG(x0))
   ENCARG(cons_app(map_1, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(cons, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_2, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(map_3, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(g, x1)) -> c5(ENCARG(x1))
   ENCARG(cons_app(x0, cons_app(x1, map_1))) -> c5(APP(encArg(x0), app(encArg(x1), map_1)), ENCARG(x0), ENCARG(cons_app(x1, map_1)))
   ENCARG(cons_app(x0, cons_app(x1, cons))) -> c5(APP(encArg(x0), app(encArg(x1), cons)), ENCARG(x0), ENCARG(cons_app(x1, cons)))
   ENCARG(cons_app(x0, cons_app(x1, map_2))) -> c5(APP(encArg(x0), app(encArg(x1), map_2)), ENCARG(x0), ENCARG(cons_app(x1, map_2)))
   ENCARG(cons_app(x0, cons_app(x1, map_3))) -> c5(APP(encArg(x0), app(encArg(x1), map_3)), ENCARG(x0), ENCARG(cons_app(x1, map_3)))
   ENCARG(cons_app(x0, cons_app(x1, g))) -> c5(APP(encArg(x0), app(encArg(x1), g)), ENCARG(x0), ENCARG(cons_app(x1, g)))
   ENCARG(cons_app(x0, cons_app(x1, cons_app(z0, z1)))) -> c5(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(cons_app(x1, cons_app(z0, z1))))
   ENCARG(cons_app(x0, cons_app(cons_app(z0, z1), x2))) -> c5(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(x0), ENCARG(cons_app(cons_app(z0, z1), x2)))
   ENCARG(cons_app(cons_app(z0, z1), cons_app(x1, x2))) -> c5(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))), ENCARG(cons_app(z0, z1)), ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(x0, cons_app(map_1, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_1, x2)))
   ENCARG(cons_app(x0, cons_app(cons, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(cons, x2)))
   ENCARG(cons_app(x0, cons_app(map_2, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_2, x2)))
   ENCARG(cons_app(x0, cons_app(map_3, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(map_3, x2)))
   ENCARG(cons_app(x0, cons_app(g, x2))) -> c5(ENCARG(x0), ENCARG(cons_app(g, x2)))
   ENCARG(cons_app(map_1, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_2, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(map_3, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(g, cons_app(x1, x2))) -> c5(ENCARG(cons_app(x1, x2)))
   ENCARG(cons_app(cons_app(x0, map_1), x2)) -> c5(APP(app(encArg(x0), map_1), encArg(x2)), ENCARG(cons_app(x0, map_1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons), x2)) -> c5(APP(app(encArg(x0), cons), encArg(x2)), ENCARG(cons_app(x0, cons)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_2), x2)) -> c5(APP(app(encArg(x0), map_2), encArg(x2)), ENCARG(cons_app(x0, map_2)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, map_3), x2)) -> c5(APP(app(encArg(x0), map_3), encArg(x2)), ENCARG(cons_app(x0, map_3)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, g), x2)) -> c5(APP(app(encArg(x0), g), encArg(x2)), ENCARG(cons_app(x0, g)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, cons_app(z0, z1)), x2)) -> c5(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(cons_app(x0, cons_app(z0, z1))), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_1, x1), x2)) -> c5(APP(app(map_1, encArg(x1)), encArg(x2)), ENCARG(cons_app(map_1, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(cons_app(z0, z1), x1), x2)) -> c5(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)), ENCARG(cons_app(cons_app(z0, z1), x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(x0, x1), map_1)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), cons)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_2)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), map_3)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(x0, x1), g)) -> c5(ENCARG(cons_app(x0, x1)))
   ENCARG(cons_app(cons_app(cons, x1), x2)) -> c5(ENCARG(cons_app(cons, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_2, x1), x2)) -> c5(ENCARG(cons_app(map_2, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(map_3, x1), x2)) -> c5(ENCARG(cons_app(map_3, x1)), ENCARG(x2))
   ENCARG(cons_app(cons_app(g, x1), x2)) -> c5(ENCARG(cons_app(g, x1)), ENCARG(x2))
   ENCODE_APP(x0, cons_app(x1, map_1)) -> c(APP(encArg(x0), app(encArg(x1), map_1)))
   ENCODE_APP(x0, cons_app(x1, cons)) -> c(APP(encArg(x0), app(encArg(x1), cons)))
   ENCODE_APP(x0, cons_app(x1, map_2)) -> c(APP(encArg(x0), app(encArg(x1), map_2)))
   ENCODE_APP(x0, cons_app(x1, map_3)) -> c(APP(encArg(x0), app(encArg(x1), map_3)))
   ENCODE_APP(x0, cons_app(x1, g)) -> c(APP(encArg(x0), app(encArg(x1), g)))
   ENCODE_APP(x0, cons_app(x1, cons_app(z0, z1))) -> c(APP(encArg(x0), app(encArg(x1), app(encArg(z0), encArg(z1)))))
   ENCODE_APP(x0, cons_app(cons_app(z0, z1), x2)) -> c(APP(encArg(x0), app(app(encArg(z0), encArg(z1)), encArg(x2))))
   ENCODE_APP(cons_app(z0, z1), cons_app(x1, x2)) -> c(APP(app(encArg(z0), encArg(z1)), app(encArg(x1), encArg(x2))))
   ENCODE_APP(cons_app(x0, map_1), x2) -> c(APP(app(encArg(x0), map_1), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons), x2) -> c(APP(app(encArg(x0), cons), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_2), x2) -> c(APP(app(encArg(x0), map_2), encArg(x2)))
   ENCODE_APP(cons_app(x0, map_3), x2) -> c(APP(app(encArg(x0), map_3), encArg(x2)))
   ENCODE_APP(cons_app(x0, g), x2) -> c(APP(app(encArg(x0), g), encArg(x2)))
   ENCODE_APP(cons_app(x0, cons_app(z0, z1)), x2) -> c(APP(app(encArg(x0), app(encArg(z0), encArg(z1))), encArg(x2)))
   ENCODE_APP(cons_app(map_1, x1), x2) -> c(APP(app(map_1, encArg(x1)), encArg(x2)))
   ENCODE_APP(cons_app(cons_app(z0, z1), x1), x2) -> c(APP(app(app(encArg(z0), encArg(z1)), encArg(x1)), encArg(x2)))
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), x7))
   ENCARG(cons_app(cons_app(y0, map_1), map_1)) -> c5(ENCARG(cons_app(y0, map_1)))
   ENCARG(cons_app(cons_app(y0, cons), map_1)) -> c5(ENCARG(cons_app(y0, cons)))
   ENCARG(cons_app(cons_app(y0, map_2), map_1)) -> c5(ENCARG(cons_app(y0, map_2)))
   ENCARG(cons_app(cons_app(y0, map_3), map_1)) -> c5(ENCARG(cons_app(y0, map_3)))
   ENCARG(cons_app(cons_app(y0, g), map_1)) -> c5(ENCARG(cons_app(y0, g)))
   ENCARG(cons_app(cons_app(map_1, y0), map_1)) -> c5(ENCARG(cons_app(map_1, y0)))
   ENCARG(cons_app(cons_app(cons, y0), map_1)) -> c5(ENCARG(cons_app(cons, y0)))
   ENCARG(cons_app(cons_app(map_2, y0), map_1)) -> c5(ENCARG(cons_app(map_2, y0)))
   ENCARG(cons_app(cons_app(map_3, y0), map_1)) -> c5(ENCARG(cons_app(map_3, y0)))
   ENCARG(cons_app(cons_app(g, y0), map_1)) -> c5(ENCARG(cons_app(g, y0)))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, map_1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, map_1))))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, cons)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, cons))))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, map_2)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, map_2))))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, map_3)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, map_3))))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, g)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, g))))
   ENCARG(cons_app(cons_app(y0, cons_app(y1, cons_app(y2, y3))), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(y1, cons_app(y2, y3)))))
   ENCARG(cons_app(cons_app(y0, cons_app(cons_app(y1, y2), y3)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(cons_app(y1, y2), y3))))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), cons_app(y2, y3)), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), cons_app(y2, y3))))
   ENCARG(cons_app(cons_app(y0, cons_app(map_1, y1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(map_1, y1))))
   ENCARG(cons_app(cons_app(y0, cons_app(cons, y1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(cons, y1))))
   ENCARG(cons_app(cons_app(y0, cons_app(map_2, y1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(map_2, y1))))
   ENCARG(cons_app(cons_app(y0, cons_app(map_3, y1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(map_3, y1))))
   ENCARG(cons_app(cons_app(y0, cons_app(g, y1)), map_1)) -> c5(ENCARG(cons_app(y0, cons_app(g, y1))))
   ENCARG(cons_app(cons_app(map_1, cons_app(y0, y1)), map_1)) -> c5(ENCARG(cons_app(map_1, cons_app(y0, y1))))
   ENCARG(cons_app(cons_app(cons, cons_app(y0, y1)), map_1)) -> c5(ENCARG(cons_app(cons, cons_app(y0, y1))))
   ENCARG(cons_app(cons_app(map_2, cons_app(y0, y1)), map_1)) -> c5(ENCARG(cons_app(map_2, cons_app(y0, y1))))
   ENCARG(cons_app(cons_app(map_3, cons_app(y0, y1)), map_1)) -> c5(ENCARG(cons_app(map_3, cons_app(y0, y1))))
   ENCARG(cons_app(cons_app(g, cons_app(y0, y1)), map_1)) -> c5(ENCARG(cons_app(g, cons_app(y0, y1))))
   ENCARG(cons_app(cons_app(cons_app(y0, map_1), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, map_1), y1)))
   ENCARG(cons_app(cons_app(cons_app(y0, cons), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, cons), y1)))
   ENCARG(cons_app(cons_app(cons_app(y0, map_2), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, map_2), y1)))
   ENCARG(cons_app(cons_app(cons_app(y0, map_3), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, map_3), y1)))
   ENCARG(cons_app(cons_app(cons_app(y0, g), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, g), y1)))
   ENCARG(cons_app(cons_app(cons_app(y0, cons_app(y1, y2)), y3), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, cons_app(y1, y2)), y3)))
   ENCARG(cons_app(cons_app(cons_app(map_1, y0), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(map_1, y0), y1)))
   ENCARG(cons_app(cons_app(cons_app(cons_app(y0, y1), y2), y3), map_1)) -> c5(ENCARG(cons_app(cons_app(cons_app(y0, y1), y2), y3)))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), map_1), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), map_1)))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), cons), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), cons)))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), map_2), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), map_2)))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), map_3), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), map_3)))
   ENCARG(cons_app(cons_app(cons_app(y0, y1), g), map_1)) -> c5(ENCARG(cons_app(cons_app(y0, y1), g)))
   ENCARG(cons_app(cons_app(cons_app(cons, y0), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(cons, y0), y1)))
   ENCARG(cons_app(cons_app(cons_app(map_2, y0), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(map_2, y0), y1)))
   ENCARG(cons_app(cons_app(cons_app(map_3, y0), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(map_3, y0), y1)))
   ENCARG(cons_app(cons_app(cons_app(g, y0), y1), map_1)) -> c5(ENCARG(cons_app(cons_app(g, y0), y1)))
S tuples:
   APP(app(map_1, app(map_1, y0)), app(app(cons, app(app(cons, y1), y2)), z2)) -> c12(APP(app(map_1, y0), app(app(cons, y1), y2)), APP(app(map_1, app(map_1, y0)), z2))
   APP(app(map_1, z0), app(app(cons, z1), app(app(cons, y1), y2))) -> c12(APP(z0, z1), APP(app(map_1, z0), app(app(cons, y1), y2)))
   APP(app(map_1, app(app(map_2, y0), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(map_2, y0), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(map_2, y0), y1)), z2))
   APP(app(map_1, app(app(app(map_3, y0), g), y1)), app(app(cons, app(app(cons, y2), y3)), z2)) -> c12(APP(app(app(app(map_3, y0), g), y1), app(app(cons, y2), y3)), APP(app(map_1, app(app(app(map_3, y0), g), y1)), z2))
   APP(app(app(map_2, z0), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c13(APP(app(z0, z2), z1), APP(z0, z2), APP(app(app(map_2, z0), z1), app(app(cons, y2), y3)))
   APP(app(app(map_2, app(map_2, y0)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(map_2, y0), z2), z1), APP(app(app(map_2, app(map_2, y0)), z1), z3))
   APP(app(app(map_2, app(app(map_3, y0), g)), z1), app(app(cons, z2), z3)) -> c13(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(map_2, app(app(map_3, y0), g)), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(map_1, y0)), z3)) -> c13(APP(app(map_1, app(map_1, y0)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, z2), z3)) -> c13(APP(app(map_1, z2), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(map_2, y0), y1)), z3)) -> c13(APP(app(map_1, app(app(map_2, y0), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, map_1), z1), app(app(cons, app(app(app(map_3, y0), g), y1)), z3)) -> c13(APP(app(map_1, app(app(app(map_3, y0), g), y1)), z1), APP(app(app(map_2, map_1), z1), z3))
   APP(app(app(map_2, app(app(map_2, x0), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(map_2, x0), x1)), x2), x5))
   APP(app(app(map_2, app(app(map_2, z0), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(map_2, z0), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(map_2, z0), z1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), app(app(cons, app(app(cons, x3), x4)), x5)) -> c13(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), x2), x5))
   APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), app(app(cons, app(app(cons, z2), z3)), x5)) -> c13(APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), z3)), APP(app(app(map_2, app(app(app(map_3, z0), g), z1)), x2), x5))
   APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)) -> c13(APP(app(map_1, app(map_1, x0)), app(app(cons, app(app(cons, x2), x3)), x4)), APP(app(app(map_2, app(map_1, app(map_1, x0))), x1), x5))
   APP(app(app(map_2, app(map_1, x0)), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c13(APP(app(map_1, x0), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(map_2, app(map_1, x0)), x1), x5))
   APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(map_2, x0), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), x2), x6))
   APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c13(APP(app(map_1, app(app(app(map_3, x0), g), x1)), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), x2), x6))
   APP(app(app(app(map_3, z0), g), z1), app(app(cons, z2), app(app(cons, y2), y3))) -> c14(APP(app(app(z0, g), z2), z1), APP(app(z0, g), z2), APP(app(app(app(map_3, z0), g), z1), app(app(cons, y2), y3)))
   APP(app(app(app(map_3, app(map_3, y0)), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(app(map_3, y0), g), z2), z1), APP(app(app(app(map_3, app(map_3, y0)), g), z1), z3))
   APP(app(app(app(map_3, map_2), g), z1), app(app(cons, z2), z3)) -> c14(APP(app(app(map_2, g), z2), z1), APP(app(app(app(map_3, map_2), g), z1), z3))
   APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(app(map_3, x0), g), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(app(map_3, x0), g)), g), x1), x4))
   APP(app(app(app(map_3, map_1), g), x0), app(app(cons, app(app(cons, x1), app(app(cons, x2), x3))), x4)) -> c14(APP(app(map_1, g), app(app(cons, x1), app(app(cons, x2), x3))), APP(app(app(app(map_3, map_1), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, x0)), g), x1), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)) -> c14(APP(app(app(map_2, x0), g), app(app(cons, x2), app(app(cons, x3), x4))), APP(app(app(app(map_3, app(map_2, x0)), g), x1), x5))
   APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(map_2, x0)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(map_2, x0))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), app(app(cons, app(app(cons, x2), x3)), x4)) -> c14(APP(app(app(map_2, app(app(map_3, x0), g)), g), app(app(cons, x2), x3)), APP(app(app(app(map_3, app(map_2, app(app(map_3, x0), g))), g), x1), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(map_1, x1)), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(map_1, x1)), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, x1), x2)), x3)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, x1), x2)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x3))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(map_2, x1), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(map_2, x1), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, map_1)), g), x0), app(app(cons, app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), x4)) -> c14(APP(app(app(map_2, map_1), g), app(app(cons, app(app(app(map_3, x1), g), x2)), x3)), APP(app(app(app(map_3, app(map_2, map_1)), g), x0), x4))
   APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(map_2, x0), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(map_2, x0), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(app(app(map_3, x0), g), x1)), g), app(app(cons, app(app(cons, x3), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(app(app(map_3, x0), g), x1))), g), x2), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, app(map_1, x0))), g), app(app(cons, app(app(cons, app(app(cons, x2), x3)), x4)), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, app(map_1, x0)))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), app(app(cons, app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), x6)) -> c14(APP(app(app(map_2, app(map_1, x0)), g), app(app(cons, app(app(cons, x2), app(app(cons, x3), x4))), x5)), APP(app(app(app(map_3, app(map_2, app(map_1, x0))), g), x1), x6))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(map_2, x0), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(map_2, x0), x1)))), g), x2), x7))
   APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), app(app(cons, app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), x7)) -> c14(APP(app(app(map_2, app(map_1, app(app(app(map_3, x0), g), x1))), g), app(app(cons, app(app(cons, app(app(cons, x3), x4)), x5)), x6)), APP(app(app(app(map_3, app(map_2, app(map_1, app(app(app(map_3, x0), g), x1)))), g), x2), x7))
K tuples:none
Defined Rule Symbols:   encArg_1, app_2

Defined Pair Symbols:   ENCARG_1, ENCODE_APP_2, APP_2

Compound Symbols:   c5_1, c5_3, c5_2, c_1, c12_2, c13_3, c13_2, c13_1, c14_3, c14_2