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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


The Derivational Complexity (full) 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), 55 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 11 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 0 ms]
    (10) typed CpxTrs
    (11) RewriteLemmaProof [LOWER BOUND(ID), 455 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) RcToIrcProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxRelTRS
    (21) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
    (22) CdtProblem
        (23) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CdtProblem
        (25) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (26) CdtProblem
        (27) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (28) CdtProblem
        (29) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 0 ms]
        (30) CdtProblem
        (31) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 182 ms]
        (32) CdtProblem
        (33) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (34) CdtProblem
        (35) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (36) CdtProblem
        (37) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (38) CdtProblem
        (39) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (40) CdtProblem
        (41) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (44) CdtProblem
        (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [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) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (62) CdtProblem
        (63) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (64) CdtProblem
        (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (66) CdtProblem
        (67) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (68) CdtProblem
        (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (70) CdtProblem
        (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (72) CdtProblem
        (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (74) CdtProblem
        (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (76) CdtProblem
        (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (78) CdtProblem
        (79) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (80) CdtProblem
        (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (82) CdtProblem
        (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (84) CdtProblem
        (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 13 ms]
        (86) CdtProblem
        (87) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (88) CdtProblem
        (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (90) CdtProblem
        (91) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (92) CdtProblem
        (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (94) CdtProblem
        (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (96) CdtProblem
        (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 21 ms]
        (98) CdtProblem
        (99) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (100) CdtProblem
        (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (102) CdtProblem
        (103) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (104) CdtProblem
        (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 25 ms]
        (106) CdtProblem
        (107) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (108) CdtProblem
        (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 37 ms]
        (110) CdtProblem
        (111) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (112) CdtProblem
        (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 24 ms]
        (114) CdtProblem
        (115) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (116) CdtProblem
        (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (118) CdtProblem
        (119) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7 ms]
        (120) CdtProblem
        (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (122) CdtProblem
        (123) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (124) CdtProblem
        (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (126) CdtProblem
        (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 5 ms]
        (128) CdtProblem
        (129) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (130) CdtProblem
        (131) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (132) CdtProblem
        (133) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (134) CdtProblem
        (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (136) CdtProblem
        (137) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (138) CdtProblem
        (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (140) CdtProblem
        (141) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (142) CdtProblem
        (143) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (144) CdtProblem
        (145) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (146) CdtProblem
        (147) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (148) CdtProblem
        (149) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (150) CdtProblem
    (151) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (152) CpxWeightedTrs
        (153) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (154) CpxTypedWeightedTrs
        (155) CompletionProof [UPPER BOUND(ID), 0 ms]
        (156) CpxTypedWeightedCompleteTrs
            (157) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (158) CpxRNTS
        (159) CompletionProof [UPPER BOUND(ID), 0 ms]
        (160) CpxTypedWeightedCompleteTrs
            (161) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
            (162) CpxTypedWeightedCompleteTrs
            (163) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (164) CpxRNTS
            (165) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
            (166) CpxRNTS


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

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


The TRS R consists of the following rules:

   C(x1) -> c(x1)
   c(c(x1)) -> x1
   b(b(x1)) -> B(x1)
   B(B(x1)) -> b(x1)
   c(B(c(b(c(x1))))) -> B(c(b(c(B(c(b(x1)))))))
   b(B(x1)) -> x1
   B(b(x1)) -> x1
   c(C(x1)) -> x1
   C(c(x1)) -> x1

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

(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(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))


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

(2)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   C(x1) -> c(x1)
   c(c(x1)) -> x1
   b(b(x1)) -> B(x1)
   B(B(x1)) -> b(x1)
   c(B(c(b(c(x1))))) -> B(c(b(c(B(c(b(x1)))))))
   b(B(x1)) -> x1
   B(b(x1)) -> x1
   c(C(x1)) -> x1
   C(c(x1)) -> x1

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

   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))

Rewrite Strategy: FULL
----------------------------------------

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

(4)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   C(x1) -> c(x1)
   c(c(x1)) -> x1
   b(b(x1)) -> B(x1)
   B(B(x1)) -> b(x1)
   c(B(c(b(c(x1))))) -> B(c(b(c(B(c(b(x1)))))))
   b(B(x1)) -> x1
   B(b(x1)) -> x1
   c(C(x1)) -> x1
   C(c(x1)) -> x1

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

   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))

Rewrite Strategy: FULL
----------------------------------------

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

(6)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   C(x1) -> c(x1)
   c(c(x1)) -> x1
   b(b(x1)) -> B(x1)
   B(B(x1)) -> b(x1)
   c(B(c(b(c(x1))))) -> B(c(b(c(B(c(b(x1)))))))
   b(B(x1)) -> x1
   B(b(x1)) -> x1
   c(C(x1)) -> x1
   C(c(x1)) -> x1

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

   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))

Rewrite Strategy: FULL
----------------------------------------

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

(8)
Obligation:
TRS:
Rules:
C(x1) -> c(x1)
c(c(x1)) -> x1
b(b(x1)) -> B(x1)
B(B(x1)) -> b(x1)
c(B(c(b(c(x1))))) -> B(c(b(c(B(c(b(x1)))))))
b(B(x1)) -> x1
B(b(x1)) -> x1
c(C(x1)) -> x1
C(c(x1)) -> x1
encArg(cons_C(x_1)) -> C(encArg(x_1))
encArg(cons_c(x_1)) -> c(encArg(x_1))
encArg(cons_b(x_1)) -> b(encArg(x_1))
encArg(cons_B(x_1)) -> B(encArg(x_1))
encode_C(x_1) -> C(encArg(x_1))
encode_c(x_1) -> c(encArg(x_1))
encode_b(x_1) -> b(encArg(x_1))
encode_B(x_1) -> B(encArg(x_1))

Types:
C :: C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
c :: C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
b :: C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
B :: C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
encArg :: cons_C:cons_c:cons_b:cons_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
cons_C :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_c :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_b :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_B :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
encode_C :: cons_C:cons_c:cons_b:cons_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
encode_c :: cons_C:cons_c:cons_b:cons_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
encode_b :: cons_C:cons_c:cons_b:cons_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
encode_B :: cons_C:cons_c:cons_b:cons_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
hole_C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B1_0 :: C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
hole_cons_C:cons_c:cons_b:cons_B2_0 :: cons_C:cons_c:cons_b:cons_B
gen_cons_C:cons_c:cons_b:cons_B3_0 :: Nat -> cons_C:cons_c:cons_b:cons_B

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

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

They will be analysed ascendingly in the following order:
b < c
B < c
c < encArg
b = B
b < encArg
B < encArg

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

(10)
Obligation:
TRS:
Rules:
C(x1) -> c(x1)
c(c(x1)) -> x1
b(b(x1)) -> B(x1)
B(B(x1)) -> b(x1)
c(B(c(b(c(x1))))) -> B(c(b(c(B(c(b(x1)))))))
b(B(x1)) -> x1
B(b(x1)) -> x1
c(C(x1)) -> x1
C(c(x1)) -> x1
encArg(cons_C(x_1)) -> C(encArg(x_1))
encArg(cons_c(x_1)) -> c(encArg(x_1))
encArg(cons_b(x_1)) -> b(encArg(x_1))
encArg(cons_B(x_1)) -> B(encArg(x_1))
encode_C(x_1) -> C(encArg(x_1))
encode_c(x_1) -> c(encArg(x_1))
encode_b(x_1) -> b(encArg(x_1))
encode_B(x_1) -> B(encArg(x_1))

Types:
C :: C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
c :: C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
b :: C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
B :: C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
encArg :: cons_C:cons_c:cons_b:cons_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
cons_C :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_c :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_b :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_B :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
encode_C :: cons_C:cons_c:cons_b:cons_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
encode_c :: cons_C:cons_c:cons_b:cons_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
encode_b :: cons_C:cons_c:cons_b:cons_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
encode_B :: cons_C:cons_c:cons_b:cons_B -> C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
hole_C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B1_0 :: C:c:b:B:encArg:encode_C:encode_c:encode_b:encode_B
hole_cons_C:cons_c:cons_b:cons_B2_0 :: cons_C:cons_c:cons_b:cons_B
gen_cons_C:cons_c:cons_b:cons_B3_0 :: Nat -> cons_C:cons_c:cons_b:cons_B


Generator Equations:
gen_cons_C:cons_c:cons_b:cons_B3_0(0) <=> hole_cons_C:cons_c:cons_b:cons_B2_0
gen_cons_C:cons_c:cons_b:cons_B3_0(+(x, 1)) <=> cons_C(gen_cons_C:cons_c:cons_b:cons_B3_0(x))


The following defined symbols remain to be analysed:
B, c, b, encArg

They will be analysed ascendingly in the following order:
b < c
B < c
c < encArg
b = B
b < encArg
B < encArg

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

(11) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_cons_C:cons_c:cons_b:cons_B3_0(+(1, n25_0))) -> *4_0, rt in Omega(0)

Induction Base:
encArg(gen_cons_C:cons_c:cons_b:cons_B3_0(+(1, 0)))

Induction Step:
encArg(gen_cons_C:cons_c:cons_b:cons_B3_0(+(1, +(n25_0, 1)))) ->_R^Omega(0)
C(encArg(gen_cons_C:cons_c:cons_b:cons_B3_0(+(1, n25_0)))) ->_IH
C(*4_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 (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   C(x1) -> c(x1)
   c(c(x1)) -> x1
   b(b(x1)) -> B(x1)
   B(B(x1)) -> b(x1)
   c(B(c(b(c(x1))))) -> B(c(b(c(B(c(b(x1)))))))
   b(B(x1)) -> x1
   B(b(x1)) -> x1
   c(C(x1)) -> x1
   C(c(x1)) -> x1

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

   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))

Rewrite Strategy: FULL
----------------------------------------

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

(16)
Obligation:
The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   C(x1) -> c(x1)
   c(c(x1)) -> x1
   b(b(x1)) -> B(x1)
   B(B(x1)) -> b(x1)
   c(B(c(b(c(x1))))) -> B(c(b(c(B(c(b(x1)))))))
   b(B(x1)) -> x1
   B(b(x1)) -> x1
   c(C(x1)) -> x1
   C(c(x1)) -> x1
   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))

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

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

(18)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   C(x1) -> c(x1)
   C(c_c(x1)) -> x1
   c(c_C(x1)) -> x1
   c(c_B(c_c(c_b(c_c(x1))))) -> B(c(b(c(B(c(b(x1)))))))
   b(c_B(x1)) -> x1
   B(c_b(x1)) -> x1
   b(c_b(x1)) -> B(x1)
   B(c_B(x1)) -> b(x1)
   c(c_c(x1)) -> x1

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

   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))
   b(x0) -> c_b(x0)
   c(x0) -> c_c(x0)
   C(x0) -> c_C(x0)
   B(x0) -> c_B(x0)

Rewrite Strategy: FULL
----------------------------------------

(19) RcToIrcProof (BOTH BOUNDS(ID, ID))
Converted rc-obligation to irc-obligation.

As the TRS is a non-duplicating overlay system, we have rc = irc.
----------------------------------------

(20)
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:

   C(x1) -> c(x1)
   C(c_c(x1)) -> x1
   c(c_C(x1)) -> x1
   c(c_B(c_c(c_b(c_c(x1))))) -> B(c(b(c(B(c(b(x1)))))))
   b(c_B(x1)) -> x1
   B(c_b(x1)) -> x1
   b(c_b(x1)) -> B(x1)
   B(c_B(x1)) -> b(x1)
   c(c_c(x1)) -> x1

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

   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))
   b(x0) -> c_b(x0)
   c(x0) -> c_c(x0)
   C(x0) -> c_C(x0)
   B(x0) -> c_B(x0)

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

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

(22)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   encode_C(z0) -> C(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_B(z0) -> B(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c2(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c3(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c4(B''(encArg(z0)), ENCARG(z0))
   ENCODE_C(z0) -> c5(C'(encArg(z0)), ENCARG(z0))
   ENCODE_C'(z0) -> c6(C''(encArg(z0)), ENCARG(z0))
   ENCODE_B(z0) -> c7(B'(encArg(z0)), ENCARG(z0))
   ENCODE_B'(z0) -> c8(B''(encArg(z0)), ENCARG(z0))
   B'(z0) -> c9
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(z0) -> c12
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c16
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(z0) -> c19
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
K tuples:none
Defined Rule Symbols:   C_1, c_1, b_1, B_1, encArg_1, encode_C_1, encode_c_1, encode_b_1, encode_B_1

Defined Pair Symbols:   ENCARG_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1, B'_1, C''_1, C'_1, B''_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8_2, c9, c10, c11_1, c12, c13, c14_7, c15, c16, c17_1, c18, c19, c20, c21_1


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

(23) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   C'(z0) -> c16
   B''(z0) -> c19
   C''(z0) -> c12
   B'(z0) -> c9

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

(24)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   encode_C(z0) -> C(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_B(z0) -> B(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c2(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c3(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c4(B''(encArg(z0)), ENCARG(z0))
   ENCODE_C(z0) -> c5(C'(encArg(z0)), ENCARG(z0))
   ENCODE_C'(z0) -> c6(C''(encArg(z0)), ENCARG(z0))
   ENCODE_B(z0) -> c7(B'(encArg(z0)), ENCARG(z0))
   ENCODE_B'(z0) -> c8(B''(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
K tuples:none
Defined Rule Symbols:   C_1, c_1, b_1, B_1, encArg_1, encode_C_1, encode_c_1, encode_b_1, encode_B_1

Defined Pair Symbols:   ENCARG_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1, B'_1, C''_1, C'_1, B''_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8_2, c10, c11_1, c13, c14_7, c15, c17_1, c18, c20, c21_1


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

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

(26)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   encode_C(z0) -> C(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_B(z0) -> B(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c2(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c3(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c4(B''(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C(z0) -> c9(ENCARG(z0))
   ENCODE_C'(z0) -> c9(C''(encArg(z0)))
   ENCODE_C'(z0) -> c9(ENCARG(z0))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B(z0) -> c9(ENCARG(z0))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
   ENCODE_B'(z0) -> c9(ENCARG(z0))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
K tuples:none
Defined Rule Symbols:   C_1, c_1, b_1, B_1, encArg_1, encode_C_1, encode_c_1, encode_b_1, encode_B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c10, c11_1, c13, c14_7, c15, c17_1, c18, c20, c21_1, c9_1


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

(27) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 4 leading nodes:
   ENCODE_C(z0) -> c9(ENCARG(z0))
   ENCODE_C'(z0) -> c9(ENCARG(z0))
   ENCODE_B(z0) -> c9(ENCARG(z0))
   ENCODE_B'(z0) -> c9(ENCARG(z0))

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

(28)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   encode_C(z0) -> C(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_B(z0) -> B(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c2(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c3(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c4(B''(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C'(z0) -> c9(C''(encArg(z0)))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
K tuples:none
Defined Rule Symbols:   C_1, c_1, b_1, B_1, encArg_1, encode_C_1, encode_c_1, encode_b_1, encode_B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c10, c11_1, c13, c14_7, c15, c17_1, c18, c20, c21_1, c9_1


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

(29) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_C(z0) -> C(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_B(z0) -> B(encArg(z0))

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

(30)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c2(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c3(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c4(B''(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C'(z0) -> c9(C''(encArg(z0)))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c10, c11_1, c13, c14_7, c15, c17_1, c18, c20, c21_1, c9_1


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

(31) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1)))
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
We considered the (Usable) Rules:none
And the Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c2(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c3(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c4(B''(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C'(z0) -> c9(C''(encArg(z0)))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
The order we found is given by the following interpretation:

Polynomial interpretation :

   POL(B(x_1)) = 0
   POL(B'(x_1)) = 0
   POL(B''(x_1)) = 0
   POL(C(x_1)) = [1] + x_1
   POL(C'(x_1)) = [1]
   POL(C''(x_1)) = 0
   POL(ENCARG(x_1)) = x_1
   POL(ENCODE_B(x_1)) = 0
   POL(ENCODE_B'(x_1)) = 0
   POL(ENCODE_C(x_1)) = [1]
   POL(ENCODE_C'(x_1)) = 0
   POL(b(x_1)) = 0
   POL(c(x_1)) = 0
   POL(c1(x_1, x_2)) = x_1 + x_2
   POL(c10) = 0
   POL(c11(x_1)) = x_1
   POL(c13) = 0
   POL(c14(x_1, x_2, x_3, x_4, x_5, x_6, x_7)) = x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7
   POL(c15) = 0
   POL(c17(x_1)) = x_1
   POL(c18) = 0
   POL(c2(x_1, x_2)) = x_1 + x_2
   POL(c20) = 0
   POL(c21(x_1)) = x_1
   POL(c3(x_1, x_2)) = x_1 + x_2
   POL(c4(x_1, x_2)) = x_1 + x_2
   POL(c9(x_1)) = x_1
   POL(c_B(x_1)) = x_1
   POL(c_C(x_1)) = [1] + x_1
   POL(c_b(x_1)) = 0
   POL(c_c(x_1)) = 0
   POL(cons_B(x_1)) = [1] + x_1
   POL(cons_C(x_1)) = [1] + x_1
   POL(cons_b(x_1)) = [1] + x_1
   POL(cons_c(x_1)) = [1] + x_1
   POL(encArg(x_1)) = [1] + x_1

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

(32)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c2(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c3(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c4(B''(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C'(z0) -> c9(C''(encArg(z0)))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
K tuples:
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c10, c11_1, c13, c14_7, c15, c17_1, c18, c20, c21_1, c9_1


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

(33) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_c(z0)) -> c2(C''(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_c(cons_C(z0))) -> c2(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))

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

(34)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c3(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c4(B''(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C'(z0) -> c9(C''(encArg(z0)))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c2(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
K tuples:
   C'(z0) -> c17(C''(z0))
   C'(c_c(z0)) -> c18
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c3_2, c4_2, c10, c11_1, c13, c14_7, c15, c17_1, c18, c20, c21_1, c9_1, c2_2


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

(35) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   C'(c_c(z0)) -> c18

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

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c3(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c4(B''(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C'(z0) -> c9(C''(encArg(z0)))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c2(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c3_2, c4_2, c10, c11_1, c13, c14_7, c15, c17_1, c20, c21_1, c9_1, c2_2


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

(37) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_b(z0)) -> c3(B'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c4(B''(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C'(z0) -> c9(C''(encArg(z0)))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c2(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c4_2, c10, c11_1, c13, c14_7, c15, c17_1, c20, c21_1, c9_1, c2_2, c3_2


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

(39) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_B(z0)) -> c4(B''(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C'(z0) -> c9(C''(encArg(z0)))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c2(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c14_7, c15, c17_1, c20, c21_1, c9_1, c2_2, c3_2, c4_2


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

(41) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0)) by 
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C'(z0) -> c9(C''(encArg(z0)))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c2(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c3_2, c4_2, c14_7


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

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C'(z0) -> c9(C''(encArg(z0)))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c2(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c3_2, c4_2, c14_7, c14_6


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

(45) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_C'(z0) -> c9(C''(encArg(z0))) by 
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B(z0) -> c9(B'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c2(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B_1, ENCODE_B'_1, ENCODE_C'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c3_2, c4_2, c14_7, c14_6


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

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B(z0) -> c9(B'(encArg(z0))) by 
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B'(z0) -> c9(B''(encArg(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c2(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B'_1, ENCODE_C'_1, ENCODE_B_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c3_2, c4_2, c14_7, c14_6


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B'(z0) -> c9(B''(encArg(z0))) by 
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c2(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c3_2, c4_2, c14_7, c14_6


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_c(cons_C(z0))) -> c2(C''(C(encArg(z0))), ENCARG(cons_C(z0))) by 
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c3_2, c4_2, c14_7, c14_6, c2_1


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_c(cons_c(z0))) -> c2(C''(c(encArg(z0))), ENCARG(cons_c(z0))) by 
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c3_2, c4_2, c14_7, c14_6, c2_1


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_c(cons_b(z0))) -> c2(C''(b(encArg(z0))), ENCARG(cons_b(z0))) by 
   ENCARG(cons_c(cons_b(x0))) -> c2(C''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(C''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c3_2, c4_2, c14_7, c14_6, c2_1


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

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c3_2, c4_2, c14_7, c14_6, c2_1


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

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_c(cons_B(z0))) -> c2(C''(B(encArg(z0))), ENCARG(cons_B(z0))) by 
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c3_2, c4_2, c14_7, c14_6, c2_2, c2_1


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

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_b(cons_C(z0))) -> c3(B'(C(encArg(z0))), ENCARG(cons_C(z0))) by 
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))

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

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c3_2, c4_2, c14_7, c14_6, c2_2, c2_1, c3_1


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

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c3_2, c4_2, c14_7, c14_6, c2_2, c2_1, c3_1


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

(65) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_b(cons_c(z0))) -> c3(B'(c(encArg(z0))), ENCARG(cons_c(z0))) by 
   ENCARG(cons_b(cons_c(x0))) -> c3(B'(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(x0))) -> c3(B'(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c3_2, c4_2, c14_7, c14_6, c2_2, c2_1, c3_1


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

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c3_2, c4_2, c14_7, c14_6, c2_2, c2_1, c3_1


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

(69) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_b(cons_b(z0))) -> c3(B'(b(encArg(z0))), ENCARG(cons_b(z0))) by 
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c3_2, c4_2, c14_7, c14_6, c2_2, c2_1, c3_1


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

(71) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_b(cons_B(z0))) -> c3(B'(B(encArg(z0))), ENCARG(cons_B(z0))) by 
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c4_2, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1


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

(73) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_B(cons_C(z0))) -> c4(B''(C(encArg(z0))), ENCARG(cons_C(z0))) by 
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))

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

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c4_2, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_1


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

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c4_2, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_1


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

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_B(cons_c(z0))) -> c4(B''(c(encArg(z0))), ENCARG(cons_c(z0))) by 
   ENCARG(cons_B(cons_c(x0))) -> c4(B''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(x0))) -> c4(B''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c4_2, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_1


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

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c4_2, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_1


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

(81) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_B(cons_b(z0))) -> c4(B''(b(encArg(z0))), ENCARG(cons_b(z0))) by 
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c4_2, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_1


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

(83) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_B(cons_B(z0))) -> c4(B''(B(encArg(z0))), ENCARG(cons_B(z0))) by 
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1


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

(85) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0)) by 
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(c_b(c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1


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

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1


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

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0)) by 
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1, c14_2


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

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1, c14_2


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

(93) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0)) by 
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1, c14_2, c14_3


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

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

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1, c14_2, c14_3


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

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0)) by 
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))

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

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1, c14_2, c14_3, c14_4


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

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

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1, c14_2, c14_3, c14_4


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

(101) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0)) by 
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(B(c(c_b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c(c_b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c(c_b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c(c_b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(B(c_c(c_b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(B(c(c_b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c_c(b(c(B(c(c_b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1, c14_2, c14_3, c14_4


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

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

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1, c14_2, c14_3, c14_4


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

(105) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0))) by 
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(B''(c_c(b(c(B(c(x0)))))), C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(B''(c(c_b(c(B(c(x0)))))), C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(B''(c(b(c_c(B(c(x0)))))), C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(B''(c(b(c(c_B(c(x0)))))), C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))

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

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(B''(c_c(b(c(B(c(x0)))))), C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(B''(c_c(b(c(B(c(x0)))))), C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1, c14_2, c14_3, c14_4, c14_5


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

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

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_7, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_1, c14_2, c14_3, c14_4, c14_5


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

(109) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0))) by 
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(B''(c_c(b(c(B(c(B(x0))))))), C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(B''(c(c_b(c(B(c(B(x0))))))), C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(B''(c(b(c_c(B(c(B(x0))))))), C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(B''(c(b(c(c_B(c(B(x0))))))), C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(B''(c(b(c(B(c_c(B(x0))))))), C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))

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

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(B''(c_c(b(c(B(c(B(x0))))))), C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(B''(c_c(b(c(B(c(B(x0))))))), C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_2, c14_3, c14_4, c14_5


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

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

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_2, c14_3, c14_4, c14_5


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

(113) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0)) by 
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(c_b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))

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

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(c_b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(c_b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_2, c14_3, c14_4, c14_5


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

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

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0))))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_2, c14_3, c14_4, c14_5


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

(117) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_C'(cons_C(z0)) -> c9(C''(C(encArg(z0)))) by 
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))

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

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0))))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_2, c14_3, c14_4, c14_5


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

(119) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_C'(cons_c(z0)) -> c9(C''(c(encArg(z0)))) by 
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))

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

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0))))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_2, c14_3, c14_4, c14_5


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

(121) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_C'(cons_b(z0)) -> c9(C''(b(encArg(z0)))) by 
   ENCODE_C'(cons_b(x0)) -> c9(C''(c_b(encArg(x0))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))

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

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(x0)) -> c9(C''(c_b(encArg(x0))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c14_6, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_2, c14_3, c14_4, c14_5


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

(123) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCODE_C'(cons_b(x0)) -> c9(C''(c_b(encArg(x0))))

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

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0))))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(125) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_C'(cons_B(z0)) -> c9(C''(B(encArg(z0)))) by 
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))

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

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0))))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B_1, ENCODE_B'_1, ENCODE_C'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(127) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B(cons_C(z0)) -> c9(B'(C(encArg(z0)))) by 
   ENCODE_B(cons_C(x0)) -> c9(B'(c_C(encArg(x0))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))

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

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c_C(encArg(x0))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B_1, ENCODE_B'_1, ENCODE_C'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(129) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCODE_B(cons_C(x0)) -> c9(B'(c_C(encArg(x0))))

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

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B_1, ENCODE_B'_1, ENCODE_C'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(131) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B(cons_c(z0)) -> c9(B'(c(encArg(z0)))) by 
   ENCODE_B(cons_c(x0)) -> c9(B'(c_c(encArg(x0))))
   ENCODE_B(cons_c(cons_C(z0))) -> c9(B'(c(C(encArg(z0)))))
   ENCODE_B(cons_c(cons_c(z0))) -> c9(B'(c(c(encArg(z0)))))
   ENCODE_B(cons_c(cons_b(z0))) -> c9(B'(c(b(encArg(z0)))))
   ENCODE_B(cons_c(cons_B(z0))) -> c9(B'(c(B(encArg(z0)))))

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

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
   ENCODE_B(cons_c(x0)) -> c9(B'(c_c(encArg(x0))))
   ENCODE_B(cons_c(cons_C(z0))) -> c9(B'(c(C(encArg(z0)))))
   ENCODE_B(cons_c(cons_c(z0))) -> c9(B'(c(c(encArg(z0)))))
   ENCODE_B(cons_c(cons_b(z0))) -> c9(B'(c(b(encArg(z0)))))
   ENCODE_B(cons_c(cons_B(z0))) -> c9(B'(c(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B_1, ENCODE_B'_1, ENCODE_C'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(133) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCODE_B(cons_c(x0)) -> c9(B'(c_c(encArg(x0))))

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

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0))))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
   ENCODE_B(cons_c(cons_C(z0))) -> c9(B'(c(C(encArg(z0)))))
   ENCODE_B(cons_c(cons_c(z0))) -> c9(B'(c(c(encArg(z0)))))
   ENCODE_B(cons_c(cons_b(z0))) -> c9(B'(c(b(encArg(z0)))))
   ENCODE_B(cons_c(cons_B(z0))) -> c9(B'(c(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B_1, ENCODE_B'_1, ENCODE_C'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(135) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B(cons_b(z0)) -> c9(B'(b(encArg(z0)))) by 
   ENCODE_B(cons_b(x0)) -> c9(B'(c_b(encArg(x0))))
   ENCODE_B(cons_b(cons_C(z0))) -> c9(B'(b(C(encArg(z0)))))
   ENCODE_B(cons_b(cons_c(z0))) -> c9(B'(b(c(encArg(z0)))))
   ENCODE_B(cons_b(cons_b(z0))) -> c9(B'(b(b(encArg(z0)))))
   ENCODE_B(cons_b(cons_B(z0))) -> c9(B'(b(B(encArg(z0)))))

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

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0))))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
   ENCODE_B(cons_c(cons_C(z0))) -> c9(B'(c(C(encArg(z0)))))
   ENCODE_B(cons_c(cons_c(z0))) -> c9(B'(c(c(encArg(z0)))))
   ENCODE_B(cons_c(cons_b(z0))) -> c9(B'(c(b(encArg(z0)))))
   ENCODE_B(cons_c(cons_B(z0))) -> c9(B'(c(B(encArg(z0)))))
   ENCODE_B(cons_b(x0)) -> c9(B'(c_b(encArg(x0))))
   ENCODE_B(cons_b(cons_C(z0))) -> c9(B'(b(C(encArg(z0)))))
   ENCODE_B(cons_b(cons_c(z0))) -> c9(B'(b(c(encArg(z0)))))
   ENCODE_B(cons_b(cons_b(z0))) -> c9(B'(b(b(encArg(z0)))))
   ENCODE_B(cons_b(cons_B(z0))) -> c9(B'(b(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B_1, ENCODE_B'_1, ENCODE_C'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(137) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B(cons_B(z0)) -> c9(B'(B(encArg(z0)))) by 
   ENCODE_B(cons_B(x0)) -> c9(B'(c_B(encArg(x0))))
   ENCODE_B(cons_B(cons_C(z0))) -> c9(B'(B(C(encArg(z0)))))
   ENCODE_B(cons_B(cons_c(z0))) -> c9(B'(B(c(encArg(z0)))))
   ENCODE_B(cons_B(cons_b(z0))) -> c9(B'(B(b(encArg(z0)))))
   ENCODE_B(cons_B(cons_B(z0))) -> c9(B'(B(B(encArg(z0)))))

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

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0))))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
   ENCODE_B(cons_c(cons_C(z0))) -> c9(B'(c(C(encArg(z0)))))
   ENCODE_B(cons_c(cons_c(z0))) -> c9(B'(c(c(encArg(z0)))))
   ENCODE_B(cons_c(cons_b(z0))) -> c9(B'(c(b(encArg(z0)))))
   ENCODE_B(cons_c(cons_B(z0))) -> c9(B'(c(B(encArg(z0)))))
   ENCODE_B(cons_b(x0)) -> c9(B'(c_b(encArg(x0))))
   ENCODE_B(cons_b(cons_C(z0))) -> c9(B'(b(C(encArg(z0)))))
   ENCODE_B(cons_b(cons_c(z0))) -> c9(B'(b(c(encArg(z0)))))
   ENCODE_B(cons_b(cons_b(z0))) -> c9(B'(b(b(encArg(z0)))))
   ENCODE_B(cons_b(cons_B(z0))) -> c9(B'(b(B(encArg(z0)))))
   ENCODE_B(cons_B(x0)) -> c9(B'(c_B(encArg(x0))))
   ENCODE_B(cons_B(cons_C(z0))) -> c9(B'(B(C(encArg(z0)))))
   ENCODE_B(cons_B(cons_c(z0))) -> c9(B'(B(c(encArg(z0)))))
   ENCODE_B(cons_B(cons_b(z0))) -> c9(B'(B(b(encArg(z0)))))
   ENCODE_B(cons_B(cons_B(z0))) -> c9(B'(B(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B'_1, ENCODE_C'_1, ENCODE_B_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(139) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B'(cons_C(z0)) -> c9(B''(C(encArg(z0)))) by 
   ENCODE_B'(cons_C(x0)) -> c9(B''(c_C(encArg(x0))))
   ENCODE_B'(cons_C(x0)) -> c9(B''(c(encArg(x0))))
   ENCODE_B'(cons_C(cons_C(z0))) -> c9(B''(C(C(encArg(z0)))))
   ENCODE_B'(cons_C(cons_c(z0))) -> c9(B''(C(c(encArg(z0)))))
   ENCODE_B'(cons_C(cons_b(z0))) -> c9(B''(C(b(encArg(z0)))))
   ENCODE_B'(cons_C(cons_B(z0))) -> c9(B''(C(B(encArg(z0)))))

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

(140)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
   ENCODE_B(cons_c(cons_C(z0))) -> c9(B'(c(C(encArg(z0)))))
   ENCODE_B(cons_c(cons_c(z0))) -> c9(B'(c(c(encArg(z0)))))
   ENCODE_B(cons_c(cons_b(z0))) -> c9(B'(c(b(encArg(z0)))))
   ENCODE_B(cons_c(cons_B(z0))) -> c9(B'(c(B(encArg(z0)))))
   ENCODE_B(cons_b(x0)) -> c9(B'(c_b(encArg(x0))))
   ENCODE_B(cons_b(cons_C(z0))) -> c9(B'(b(C(encArg(z0)))))
   ENCODE_B(cons_b(cons_c(z0))) -> c9(B'(b(c(encArg(z0)))))
   ENCODE_B(cons_b(cons_b(z0))) -> c9(B'(b(b(encArg(z0)))))
   ENCODE_B(cons_b(cons_B(z0))) -> c9(B'(b(B(encArg(z0)))))
   ENCODE_B(cons_B(x0)) -> c9(B'(c_B(encArg(x0))))
   ENCODE_B(cons_B(cons_C(z0))) -> c9(B'(B(C(encArg(z0)))))
   ENCODE_B(cons_B(cons_c(z0))) -> c9(B'(B(c(encArg(z0)))))
   ENCODE_B(cons_B(cons_b(z0))) -> c9(B'(B(b(encArg(z0)))))
   ENCODE_B(cons_B(cons_B(z0))) -> c9(B'(B(B(encArg(z0)))))
   ENCODE_B'(cons_C(x0)) -> c9(B''(c_C(encArg(x0))))
   ENCODE_B'(cons_C(x0)) -> c9(B''(c(encArg(x0))))
   ENCODE_B'(cons_C(cons_C(z0))) -> c9(B''(C(C(encArg(z0)))))
   ENCODE_B'(cons_C(cons_c(z0))) -> c9(B''(C(c(encArg(z0)))))
   ENCODE_B'(cons_C(cons_b(z0))) -> c9(B''(C(b(encArg(z0)))))
   ENCODE_B'(cons_C(cons_B(z0))) -> c9(B''(C(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B'_1, ENCODE_C'_1, ENCODE_B_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(141) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCODE_B'(cons_C(x0)) -> c9(B''(c_C(encArg(x0))))

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

(142)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0))))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
   ENCODE_B(cons_c(cons_C(z0))) -> c9(B'(c(C(encArg(z0)))))
   ENCODE_B(cons_c(cons_c(z0))) -> c9(B'(c(c(encArg(z0)))))
   ENCODE_B(cons_c(cons_b(z0))) -> c9(B'(c(b(encArg(z0)))))
   ENCODE_B(cons_c(cons_B(z0))) -> c9(B'(c(B(encArg(z0)))))
   ENCODE_B(cons_b(x0)) -> c9(B'(c_b(encArg(x0))))
   ENCODE_B(cons_b(cons_C(z0))) -> c9(B'(b(C(encArg(z0)))))
   ENCODE_B(cons_b(cons_c(z0))) -> c9(B'(b(c(encArg(z0)))))
   ENCODE_B(cons_b(cons_b(z0))) -> c9(B'(b(b(encArg(z0)))))
   ENCODE_B(cons_b(cons_B(z0))) -> c9(B'(b(B(encArg(z0)))))
   ENCODE_B(cons_B(x0)) -> c9(B'(c_B(encArg(x0))))
   ENCODE_B(cons_B(cons_C(z0))) -> c9(B'(B(C(encArg(z0)))))
   ENCODE_B(cons_B(cons_c(z0))) -> c9(B'(B(c(encArg(z0)))))
   ENCODE_B(cons_B(cons_b(z0))) -> c9(B'(B(b(encArg(z0)))))
   ENCODE_B(cons_B(cons_B(z0))) -> c9(B'(B(B(encArg(z0)))))
   ENCODE_B'(cons_C(x0)) -> c9(B''(c(encArg(x0))))
   ENCODE_B'(cons_C(cons_C(z0))) -> c9(B''(C(C(encArg(z0)))))
   ENCODE_B'(cons_C(cons_c(z0))) -> c9(B''(C(c(encArg(z0)))))
   ENCODE_B'(cons_C(cons_b(z0))) -> c9(B''(C(b(encArg(z0)))))
   ENCODE_B'(cons_C(cons_B(z0))) -> c9(B''(C(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B'_1, ENCODE_C'_1, ENCODE_B_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(143) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B'(cons_c(z0)) -> c9(B''(c(encArg(z0)))) by 
   ENCODE_B'(cons_c(x0)) -> c9(B''(c_c(encArg(x0))))
   ENCODE_B'(cons_c(cons_C(z0))) -> c9(B''(c(C(encArg(z0)))))
   ENCODE_B'(cons_c(cons_c(z0))) -> c9(B''(c(c(encArg(z0)))))
   ENCODE_B'(cons_c(cons_b(z0))) -> c9(B''(c(b(encArg(z0)))))
   ENCODE_B'(cons_c(cons_B(z0))) -> c9(B''(c(B(encArg(z0)))))

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

(144)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
   ENCODE_B(cons_c(cons_C(z0))) -> c9(B'(c(C(encArg(z0)))))
   ENCODE_B(cons_c(cons_c(z0))) -> c9(B'(c(c(encArg(z0)))))
   ENCODE_B(cons_c(cons_b(z0))) -> c9(B'(c(b(encArg(z0)))))
   ENCODE_B(cons_c(cons_B(z0))) -> c9(B'(c(B(encArg(z0)))))
   ENCODE_B(cons_b(x0)) -> c9(B'(c_b(encArg(x0))))
   ENCODE_B(cons_b(cons_C(z0))) -> c9(B'(b(C(encArg(z0)))))
   ENCODE_B(cons_b(cons_c(z0))) -> c9(B'(b(c(encArg(z0)))))
   ENCODE_B(cons_b(cons_b(z0))) -> c9(B'(b(b(encArg(z0)))))
   ENCODE_B(cons_b(cons_B(z0))) -> c9(B'(b(B(encArg(z0)))))
   ENCODE_B(cons_B(x0)) -> c9(B'(c_B(encArg(x0))))
   ENCODE_B(cons_B(cons_C(z0))) -> c9(B'(B(C(encArg(z0)))))
   ENCODE_B(cons_B(cons_c(z0))) -> c9(B'(B(c(encArg(z0)))))
   ENCODE_B(cons_B(cons_b(z0))) -> c9(B'(B(b(encArg(z0)))))
   ENCODE_B(cons_B(cons_B(z0))) -> c9(B'(B(B(encArg(z0)))))
   ENCODE_B'(cons_C(x0)) -> c9(B''(c(encArg(x0))))
   ENCODE_B'(cons_C(cons_C(z0))) -> c9(B''(C(C(encArg(z0)))))
   ENCODE_B'(cons_C(cons_c(z0))) -> c9(B''(C(c(encArg(z0)))))
   ENCODE_B'(cons_C(cons_b(z0))) -> c9(B''(C(b(encArg(z0)))))
   ENCODE_B'(cons_C(cons_B(z0))) -> c9(B''(C(B(encArg(z0)))))
   ENCODE_B'(cons_c(x0)) -> c9(B''(c_c(encArg(x0))))
   ENCODE_B'(cons_c(cons_C(z0))) -> c9(B''(c(C(encArg(z0)))))
   ENCODE_B'(cons_c(cons_c(z0))) -> c9(B''(c(c(encArg(z0)))))
   ENCODE_B'(cons_c(cons_b(z0))) -> c9(B''(c(b(encArg(z0)))))
   ENCODE_B'(cons_c(cons_B(z0))) -> c9(B''(c(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B'_1, ENCODE_C'_1, ENCODE_B_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(145) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCODE_B'(cons_c(x0)) -> c9(B''(c_c(encArg(x0))))

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

(146)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0))))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
   ENCODE_B(cons_c(cons_C(z0))) -> c9(B'(c(C(encArg(z0)))))
   ENCODE_B(cons_c(cons_c(z0))) -> c9(B'(c(c(encArg(z0)))))
   ENCODE_B(cons_c(cons_b(z0))) -> c9(B'(c(b(encArg(z0)))))
   ENCODE_B(cons_c(cons_B(z0))) -> c9(B'(c(B(encArg(z0)))))
   ENCODE_B(cons_b(x0)) -> c9(B'(c_b(encArg(x0))))
   ENCODE_B(cons_b(cons_C(z0))) -> c9(B'(b(C(encArg(z0)))))
   ENCODE_B(cons_b(cons_c(z0))) -> c9(B'(b(c(encArg(z0)))))
   ENCODE_B(cons_b(cons_b(z0))) -> c9(B'(b(b(encArg(z0)))))
   ENCODE_B(cons_b(cons_B(z0))) -> c9(B'(b(B(encArg(z0)))))
   ENCODE_B(cons_B(x0)) -> c9(B'(c_B(encArg(x0))))
   ENCODE_B(cons_B(cons_C(z0))) -> c9(B'(B(C(encArg(z0)))))
   ENCODE_B(cons_B(cons_c(z0))) -> c9(B'(B(c(encArg(z0)))))
   ENCODE_B(cons_B(cons_b(z0))) -> c9(B'(B(b(encArg(z0)))))
   ENCODE_B(cons_B(cons_B(z0))) -> c9(B'(B(B(encArg(z0)))))
   ENCODE_B'(cons_C(x0)) -> c9(B''(c(encArg(x0))))
   ENCODE_B'(cons_C(cons_C(z0))) -> c9(B''(C(C(encArg(z0)))))
   ENCODE_B'(cons_C(cons_c(z0))) -> c9(B''(C(c(encArg(z0)))))
   ENCODE_B'(cons_C(cons_b(z0))) -> c9(B''(C(b(encArg(z0)))))
   ENCODE_B'(cons_C(cons_B(z0))) -> c9(B''(C(B(encArg(z0)))))
   ENCODE_B'(cons_c(cons_C(z0))) -> c9(B''(c(C(encArg(z0)))))
   ENCODE_B'(cons_c(cons_c(z0))) -> c9(B''(c(c(encArg(z0)))))
   ENCODE_B'(cons_c(cons_b(z0))) -> c9(B''(c(b(encArg(z0)))))
   ENCODE_B'(cons_c(cons_B(z0))) -> c9(B''(c(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B'_1, ENCODE_C'_1, ENCODE_B_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(147) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B'(cons_b(z0)) -> c9(B''(b(encArg(z0)))) by 
   ENCODE_B'(cons_b(x0)) -> c9(B''(c_b(encArg(x0))))
   ENCODE_B'(cons_b(cons_C(z0))) -> c9(B''(b(C(encArg(z0)))))
   ENCODE_B'(cons_b(cons_c(z0))) -> c9(B''(b(c(encArg(z0)))))
   ENCODE_B'(cons_b(cons_b(z0))) -> c9(B''(b(b(encArg(z0)))))
   ENCODE_B'(cons_b(cons_B(z0))) -> c9(B''(b(B(encArg(z0)))))

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

(148)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
   ENCODE_B(cons_c(cons_C(z0))) -> c9(B'(c(C(encArg(z0)))))
   ENCODE_B(cons_c(cons_c(z0))) -> c9(B'(c(c(encArg(z0)))))
   ENCODE_B(cons_c(cons_b(z0))) -> c9(B'(c(b(encArg(z0)))))
   ENCODE_B(cons_c(cons_B(z0))) -> c9(B'(c(B(encArg(z0)))))
   ENCODE_B(cons_b(x0)) -> c9(B'(c_b(encArg(x0))))
   ENCODE_B(cons_b(cons_C(z0))) -> c9(B'(b(C(encArg(z0)))))
   ENCODE_B(cons_b(cons_c(z0))) -> c9(B'(b(c(encArg(z0)))))
   ENCODE_B(cons_b(cons_b(z0))) -> c9(B'(b(b(encArg(z0)))))
   ENCODE_B(cons_b(cons_B(z0))) -> c9(B'(b(B(encArg(z0)))))
   ENCODE_B(cons_B(x0)) -> c9(B'(c_B(encArg(x0))))
   ENCODE_B(cons_B(cons_C(z0))) -> c9(B'(B(C(encArg(z0)))))
   ENCODE_B(cons_B(cons_c(z0))) -> c9(B'(B(c(encArg(z0)))))
   ENCODE_B(cons_B(cons_b(z0))) -> c9(B'(B(b(encArg(z0)))))
   ENCODE_B(cons_B(cons_B(z0))) -> c9(B'(B(B(encArg(z0)))))
   ENCODE_B'(cons_C(x0)) -> c9(B''(c(encArg(x0))))
   ENCODE_B'(cons_C(cons_C(z0))) -> c9(B''(C(C(encArg(z0)))))
   ENCODE_B'(cons_C(cons_c(z0))) -> c9(B''(C(c(encArg(z0)))))
   ENCODE_B'(cons_C(cons_b(z0))) -> c9(B''(C(b(encArg(z0)))))
   ENCODE_B'(cons_C(cons_B(z0))) -> c9(B''(C(B(encArg(z0)))))
   ENCODE_B'(cons_c(cons_C(z0))) -> c9(B''(c(C(encArg(z0)))))
   ENCODE_B'(cons_c(cons_c(z0))) -> c9(B''(c(c(encArg(z0)))))
   ENCODE_B'(cons_c(cons_b(z0))) -> c9(B''(c(b(encArg(z0)))))
   ENCODE_B'(cons_c(cons_B(z0))) -> c9(B''(c(B(encArg(z0)))))
   ENCODE_B'(cons_b(x0)) -> c9(B''(c_b(encArg(x0))))
   ENCODE_B'(cons_b(cons_C(z0))) -> c9(B''(b(C(encArg(z0)))))
   ENCODE_B'(cons_b(cons_c(z0))) -> c9(B''(b(c(encArg(z0)))))
   ENCODE_B'(cons_b(cons_b(z0))) -> c9(B''(b(b(encArg(z0)))))
   ENCODE_B'(cons_b(cons_B(z0))) -> c9(B''(b(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_B'_1, ENCODE_C'_1, ENCODE_B_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

(149) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B'(cons_B(z0)) -> c9(B''(B(encArg(z0)))) by 
   ENCODE_B'(cons_B(x0)) -> c9(B''(c_B(encArg(x0))))
   ENCODE_B'(cons_B(cons_C(z0))) -> c9(B''(B(C(encArg(z0)))))
   ENCODE_B'(cons_B(cons_c(z0))) -> c9(B''(B(c(encArg(z0)))))
   ENCODE_B'(cons_B(cons_b(z0))) -> c9(B''(B(b(encArg(z0)))))
   ENCODE_B'(cons_B(cons_B(z0))) -> c9(B''(B(B(encArg(z0)))))

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

(150)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   C(z0) -> c_C(z0)
   C(z0) -> c(z0)
   C(c_c(z0)) -> z0
   c(z0) -> c_c(z0)
   c(c_C(z0)) -> z0
   c(c_B(c_c(c_b(c_c(z0))))) -> B(c(b(c(B(c(b(z0)))))))
   c(c_c(z0)) -> z0
   b(z0) -> c_b(z0)
   b(c_B(z0)) -> z0
   b(c_b(z0)) -> B(z0)
   B(z0) -> c_B(z0)
   B(c_b(z0)) -> z0
   B(c_B(z0)) -> b(z0)
Tuples:
   ENCARG(cons_C(z0)) -> c1(C'(encArg(z0)), ENCARG(z0))
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   C'(z0) -> c17(C''(z0))
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   ENCODE_C(z0) -> c9(C'(encArg(z0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c_C(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(x0))) -> c2(C''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_C(cons_C(z0)))) -> c2(C''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_c(cons_C(cons_c(z0)))) -> c2(C''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_c(cons_C(cons_b(z0)))) -> c2(C''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_c(cons_C(cons_B(z0)))) -> c2(C''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_c(cons_C(x0))) -> c2(ENCARG(cons_C(x0)))
   ENCARG(cons_c(cons_c(x0))) -> c2(C''(c_c(encArg(x0))), ENCARG(cons_c(x0)))
   ENCARG(cons_c(cons_c(cons_C(z0)))) -> c2(C''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c2(C''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_c(cons_c(cons_b(z0)))) -> c2(C''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_c(cons_c(cons_B(z0)))) -> c2(C''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_c(cons_b(cons_C(z0)))) -> c2(C''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_c(cons_b(cons_c(z0)))) -> c2(C''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_c(cons_b(cons_b(z0)))) -> c2(C''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_c(cons_b(cons_B(z0)))) -> c2(C''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_c(cons_b(x0))) -> c2(ENCARG(cons_b(x0)))
   ENCARG(cons_c(cons_B(x0))) -> c2(C''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_c(cons_B(cons_C(z0)))) -> c2(C''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_c(cons_B(cons_c(z0)))) -> c2(C''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_c(cons_B(cons_b(z0)))) -> c2(C''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_c(cons_B(cons_B(z0)))) -> c2(C''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(B'(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_C(cons_C(z0)))) -> c3(B'(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_b(cons_C(cons_c(z0)))) -> c3(B'(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_b(cons_C(cons_b(z0)))) -> c3(B'(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_b(cons_C(cons_B(z0)))) -> c3(B'(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_b(cons_C(x0))) -> c3(ENCARG(cons_C(x0)))
   ENCARG(cons_b(cons_c(cons_C(z0)))) -> c3(B'(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_b(cons_c(cons_c(z0)))) -> c3(B'(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_b(cons_c(cons_b(z0)))) -> c3(B'(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_b(cons_c(cons_B(z0)))) -> c3(B'(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_b(cons_c(x0))) -> c3(ENCARG(cons_c(x0)))
   ENCARG(cons_b(cons_b(x0))) -> c3(B'(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(cons_C(z0)))) -> c3(B'(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_b(cons_b(cons_c(z0)))) -> c3(B'(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c3(B'(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_b(cons_b(cons_B(z0)))) -> c3(B'(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_b(cons_B(x0))) -> c3(B'(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_b(cons_B(cons_C(z0)))) -> c3(B'(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_b(cons_B(cons_c(z0)))) -> c3(B'(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_b(cons_B(cons_b(z0)))) -> c3(B'(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_b(cons_B(cons_B(z0)))) -> c3(B'(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(B''(c(encArg(x0))), ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_C(cons_C(z0)))) -> c4(B''(C(C(encArg(z0)))), ENCARG(cons_C(cons_C(z0))))
   ENCARG(cons_B(cons_C(cons_c(z0)))) -> c4(B''(C(c(encArg(z0)))), ENCARG(cons_C(cons_c(z0))))
   ENCARG(cons_B(cons_C(cons_b(z0)))) -> c4(B''(C(b(encArg(z0)))), ENCARG(cons_C(cons_b(z0))))
   ENCARG(cons_B(cons_C(cons_B(z0)))) -> c4(B''(C(B(encArg(z0)))), ENCARG(cons_C(cons_B(z0))))
   ENCARG(cons_B(cons_C(x0))) -> c4(ENCARG(cons_C(x0)))
   ENCARG(cons_B(cons_c(cons_C(z0)))) -> c4(B''(c(C(encArg(z0)))), ENCARG(cons_c(cons_C(z0))))
   ENCARG(cons_B(cons_c(cons_c(z0)))) -> c4(B''(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   ENCARG(cons_B(cons_c(cons_b(z0)))) -> c4(B''(c(b(encArg(z0)))), ENCARG(cons_c(cons_b(z0))))
   ENCARG(cons_B(cons_c(cons_B(z0)))) -> c4(B''(c(B(encArg(z0)))), ENCARG(cons_c(cons_B(z0))))
   ENCARG(cons_B(cons_c(x0))) -> c4(ENCARG(cons_c(x0)))
   ENCARG(cons_B(cons_b(x0))) -> c4(B''(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_B(cons_b(cons_C(z0)))) -> c4(B''(b(C(encArg(z0)))), ENCARG(cons_b(cons_C(z0))))
   ENCARG(cons_B(cons_b(cons_c(z0)))) -> c4(B''(b(c(encArg(z0)))), ENCARG(cons_b(cons_c(z0))))
   ENCARG(cons_B(cons_b(cons_b(z0)))) -> c4(B''(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   ENCARG(cons_B(cons_b(cons_B(z0)))) -> c4(B''(b(B(encArg(z0)))), ENCARG(cons_b(cons_B(z0))))
   ENCARG(cons_B(cons_B(x0))) -> c4(B''(c_B(encArg(x0))), ENCARG(cons_B(x0)))
   ENCARG(cons_B(cons_B(cons_C(z0)))) -> c4(B''(B(C(encArg(z0)))), ENCARG(cons_B(cons_C(z0))))
   ENCARG(cons_B(cons_B(cons_c(z0)))) -> c4(B''(B(c(encArg(z0)))), ENCARG(cons_B(cons_c(z0))))
   ENCARG(cons_B(cons_B(cons_b(z0)))) -> c4(B''(B(b(encArg(z0)))), ENCARG(cons_B(cons_b(z0))))
   ENCARG(cons_B(cons_B(cons_B(z0)))) -> c4(B''(B(B(encArg(z0)))), ENCARG(cons_B(cons_B(z0))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c_C(encArg(x0))))
   ENCODE_C'(cons_C(x0)) -> c9(C''(c(encArg(x0))))
   ENCODE_C'(cons_C(cons_C(z0))) -> c9(C''(C(C(encArg(z0)))))
   ENCODE_C'(cons_C(cons_c(z0))) -> c9(C''(C(c(encArg(z0)))))
   ENCODE_C'(cons_C(cons_b(z0))) -> c9(C''(C(b(encArg(z0)))))
   ENCODE_C'(cons_C(cons_B(z0))) -> c9(C''(C(B(encArg(z0)))))
   ENCODE_C'(cons_c(x0)) -> c9(C''(c_c(encArg(x0))))
   ENCODE_C'(cons_c(cons_C(z0))) -> c9(C''(c(C(encArg(z0)))))
   ENCODE_C'(cons_c(cons_c(z0))) -> c9(C''(c(c(encArg(z0)))))
   ENCODE_C'(cons_c(cons_b(z0))) -> c9(C''(c(b(encArg(z0)))))
   ENCODE_C'(cons_c(cons_B(z0))) -> c9(C''(c(B(encArg(z0)))))
   ENCODE_C'(cons_b(cons_C(z0))) -> c9(C''(b(C(encArg(z0)))))
   ENCODE_C'(cons_b(cons_c(z0))) -> c9(C''(b(c(encArg(z0)))))
   ENCODE_C'(cons_b(cons_b(z0))) -> c9(C''(b(b(encArg(z0)))))
   ENCODE_C'(cons_b(cons_B(z0))) -> c9(C''(b(B(encArg(z0)))))
   ENCODE_C'(cons_B(x0)) -> c9(C''(c_B(encArg(x0))))
   ENCODE_C'(cons_B(cons_C(z0))) -> c9(C''(B(C(encArg(z0)))))
   ENCODE_C'(cons_B(cons_c(z0))) -> c9(C''(B(c(encArg(z0)))))
   ENCODE_C'(cons_B(cons_b(z0))) -> c9(C''(B(b(encArg(z0)))))
   ENCODE_C'(cons_B(cons_B(z0))) -> c9(C''(B(B(encArg(z0)))))
   ENCODE_B(cons_C(x0)) -> c9(B'(c(encArg(x0))))
   ENCODE_B(cons_C(cons_C(z0))) -> c9(B'(C(C(encArg(z0)))))
   ENCODE_B(cons_C(cons_c(z0))) -> c9(B'(C(c(encArg(z0)))))
   ENCODE_B(cons_C(cons_b(z0))) -> c9(B'(C(b(encArg(z0)))))
   ENCODE_B(cons_C(cons_B(z0))) -> c9(B'(C(B(encArg(z0)))))
   ENCODE_B(cons_c(cons_C(z0))) -> c9(B'(c(C(encArg(z0)))))
   ENCODE_B(cons_c(cons_c(z0))) -> c9(B'(c(c(encArg(z0)))))
   ENCODE_B(cons_c(cons_b(z0))) -> c9(B'(c(b(encArg(z0)))))
   ENCODE_B(cons_c(cons_B(z0))) -> c9(B'(c(B(encArg(z0)))))
   ENCODE_B(cons_b(x0)) -> c9(B'(c_b(encArg(x0))))
   ENCODE_B(cons_b(cons_C(z0))) -> c9(B'(b(C(encArg(z0)))))
   ENCODE_B(cons_b(cons_c(z0))) -> c9(B'(b(c(encArg(z0)))))
   ENCODE_B(cons_b(cons_b(z0))) -> c9(B'(b(b(encArg(z0)))))
   ENCODE_B(cons_b(cons_B(z0))) -> c9(B'(b(B(encArg(z0)))))
   ENCODE_B(cons_B(x0)) -> c9(B'(c_B(encArg(x0))))
   ENCODE_B(cons_B(cons_C(z0))) -> c9(B'(B(C(encArg(z0)))))
   ENCODE_B(cons_B(cons_c(z0))) -> c9(B'(B(c(encArg(z0)))))
   ENCODE_B(cons_B(cons_b(z0))) -> c9(B'(B(b(encArg(z0)))))
   ENCODE_B(cons_B(cons_B(z0))) -> c9(B'(B(B(encArg(z0)))))
   ENCODE_B'(cons_C(x0)) -> c9(B''(c(encArg(x0))))
   ENCODE_B'(cons_C(cons_C(z0))) -> c9(B''(C(C(encArg(z0)))))
   ENCODE_B'(cons_C(cons_c(z0))) -> c9(B''(C(c(encArg(z0)))))
   ENCODE_B'(cons_C(cons_b(z0))) -> c9(B''(C(b(encArg(z0)))))
   ENCODE_B'(cons_C(cons_B(z0))) -> c9(B''(C(B(encArg(z0)))))
   ENCODE_B'(cons_c(cons_C(z0))) -> c9(B''(c(C(encArg(z0)))))
   ENCODE_B'(cons_c(cons_c(z0))) -> c9(B''(c(c(encArg(z0)))))
   ENCODE_B'(cons_c(cons_b(z0))) -> c9(B''(c(b(encArg(z0)))))
   ENCODE_B'(cons_c(cons_B(z0))) -> c9(B''(c(B(encArg(z0)))))
   ENCODE_B'(cons_b(x0)) -> c9(B''(c_b(encArg(x0))))
   ENCODE_B'(cons_b(cons_C(z0))) -> c9(B''(b(C(encArg(z0)))))
   ENCODE_B'(cons_b(cons_c(z0))) -> c9(B''(b(c(encArg(z0)))))
   ENCODE_B'(cons_b(cons_b(z0))) -> c9(B''(b(b(encArg(z0)))))
   ENCODE_B'(cons_b(cons_B(z0))) -> c9(B''(b(B(encArg(z0)))))
   ENCODE_B'(cons_B(x0)) -> c9(B''(c_B(encArg(x0))))
   ENCODE_B'(cons_B(cons_C(z0))) -> c9(B''(B(C(encArg(z0)))))
   ENCODE_B'(cons_B(cons_c(z0))) -> c9(B''(B(c(encArg(z0)))))
   ENCODE_B'(cons_B(cons_b(z0))) -> c9(B''(B(b(encArg(z0)))))
   ENCODE_B'(cons_B(cons_B(z0))) -> c9(B''(B(B(encArg(z0)))))
S tuples:
   B'(c_B(z0)) -> c10
   B'(c_b(z0)) -> c11(B''(z0))
   C''(c_C(z0)) -> c13
   C''(c_c(z0)) -> c15
   B''(c_b(z0)) -> c20
   B''(c_B(z0)) -> c21(B'(z0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c_c(B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(c_b(c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(c_b(c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(c_b(c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(c_b(c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(c_B(c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c_c(B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c_c(B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c_c(B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c_c(B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B''(c(b(c(c_B(c_c(b(x0))))))), C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(c_B(c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(c_B(c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(c_B(c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(B''(c(b(c(B(c_c(c_b(z0))))))), C''(b(c(B(c(b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(B''(c(b(c(B(c_c(z0)))))), C''(b(c(B(c(b(c_B(z0))))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c_c(B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_C(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_C(z0)))))))), B'(c(B(c(b(c_B(c_C(z0))))))), C''(B(c(b(c_B(c_C(z0)))))), B''(c(b(c_B(c_C(z0))))), C''(b(c_B(c_C(z0)))), B'(c_B(c_C(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(c_B(c_c(c_b(c_c(z0)))))))))) -> c14(B''(c(b(c(B(B(c(b(c(B(c(b(z0)))))))))))), C''(b(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))))), B'(c(B(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))))), C''(B(c(b(c_B(c_B(c_c(c_b(c_c(z0))))))))), B''(c(b(c_B(c_B(c_c(c_b(c_c(z0)))))))), C''(b(c_B(c_B(c_c(c_b(c_c(z0))))))), B'(c_B(c_B(c_c(c_b(c_c(z0)))))))
   C''(c_B(c_c(c_b(c_c(c_B(c_c(z0))))))) -> c14(B''(c(b(c(B(z0))))), C''(b(c(B(c(b(c_B(c_c(z0)))))))), B'(c(B(c(b(c_B(c_c(z0))))))), C''(B(c(b(c_B(c_c(z0)))))), B''(c(b(c_B(c_c(z0))))), C''(b(c_B(c_c(z0)))), B'(c_B(c_c(z0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))))
   C''(c_B(c_c(c_b(c_c(c_B(x0)))))) -> c14(C''(b(c(B(c(b(c_B(x0))))))), B'(c(B(c(b(c_B(x0)))))), C''(B(c(b(c_B(x0))))), B''(c(b(c_B(x0)))), C''(b(c_B(x0))), B'(c_B(x0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(B''(c(b(c(B(c(c_B(z0))))))), C''(b(c(B(c(b(c_b(z0))))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(c_b(z0))))))) -> c14(B''(c(b(c(B(c(z0)))))), C''(b(c(B(c(b(c_b(c_b(z0)))))))), B'(c(B(c(b(c_b(c_b(z0))))))), C''(B(c(b(c_b(c_b(z0)))))), B''(c(b(c_b(c_b(z0))))), C''(b(c_b(c_b(z0)))), B'(c_b(c_b(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(c_B(z0))))))) -> c14(B''(c(b(c(B(c(b(z0))))))), C''(b(c(B(c(b(c_b(c_B(z0)))))))), B'(c(B(c(b(c_b(c_B(z0))))))), C''(B(c(b(c_b(c_B(z0)))))), B''(c(b(c_b(c_B(z0))))), C''(b(c_b(c_B(z0)))), B'(c_b(c_B(z0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))))
   C''(c_B(c_c(c_b(c_c(c_b(x0)))))) -> c14(C''(b(c(B(c(b(c_b(x0))))))), B'(c(B(c(b(c_b(x0)))))), C''(B(c(b(c_b(x0))))), B''(c(b(c_b(x0)))), C''(b(c_b(x0))), B'(c_b(x0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c_c(B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(c_B(c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(C''(b(c(B(c_c(b(x0)))))), B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
   C''(c_B(c_c(c_b(c_c(z0))))) -> c14(C''(b(c(B(c(c_b(z0)))))), B'(c(B(c(b(z0))))), C''(B(c(b(z0)))), B''(c(b(z0))), C''(b(z0)), B'(z0))
   C''(c_B(c_c(c_b(c_c(c_B(z0)))))) -> c14(C''(b(c(B(c(z0))))), B'(c(B(c(b(c_B(z0)))))), C''(B(c(b(c_B(z0))))), B''(c(b(c_B(z0)))), C''(b(c_B(z0))), B'(c_B(z0)))
   C''(c_B(c_c(c_b(c_c(c_b(z0)))))) -> c14(C''(b(c(B(c(B(z0)))))), B'(c(B(c(b(c_b(z0)))))), C''(B(c(b(c_b(z0))))), B''(c(b(c_b(z0)))), C''(b(c_b(z0))), B'(c_b(z0)))
   C''(c_B(c_c(c_b(c_c(x0))))) -> c14(B'(c(B(c(b(x0))))), C''(B(c(b(x0)))), B''(c(b(x0))), C''(b(x0)), B'(x0))
K tuples:
   C'(z0) -> c17(C''(z0))
Defined Rule Symbols:   encArg_1, C_1, c_1, b_1, B_1

Defined Pair Symbols:   ENCARG_1, B'_1, C''_1, C'_1, B''_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_B_1, ENCODE_B'_1

Compound Symbols:   c1_2, c10, c11_1, c13, c15, c17_1, c20, c21_1, c9_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c14_7, c14_1, c14_6, c14_2, c14_3, c14_4, c14_5


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

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

(152)
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:

   C(x1) -> c(x1) [1]
   C(c_c(x1)) -> x1 [1]
   c(c_C(x1)) -> x1 [1]
   c(c_B(c_c(c_b(c_c(x1))))) -> B(c(b(c(B(c(b(x1))))))) [1]
   b(c_B(x1)) -> x1 [1]
   B(c_b(x1)) -> x1 [1]
   b(c_b(x1)) -> B(x1) [1]
   B(c_B(x1)) -> b(x1) [1]
   c(c_c(x1)) -> x1 [1]
   encArg(cons_C(x_1)) -> C(encArg(x_1)) [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_B(x_1)) -> B(encArg(x_1)) [0]
   encode_C(x_1) -> C(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_B(x_1) -> B(encArg(x_1)) [0]
   b(x0) -> c_b(x0) [0]
   c(x0) -> c_c(x0) [0]
   C(x0) -> c_C(x0) [0]
   B(x0) -> c_B(x0) [0]

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

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

(154)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   C(x1) -> c(x1) [1]
   C(c_c(x1)) -> x1 [1]
   c(c_C(x1)) -> x1 [1]
   c(c_B(c_c(c_b(c_c(x1))))) -> B(c(b(c(B(c(b(x1))))))) [1]
   b(c_B(x1)) -> x1 [1]
   B(c_b(x1)) -> x1 [1]
   b(c_b(x1)) -> B(x1) [1]
   B(c_B(x1)) -> b(x1) [1]
   c(c_c(x1)) -> x1 [1]
   encArg(cons_C(x_1)) -> C(encArg(x_1)) [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_B(x_1)) -> B(encArg(x_1)) [0]
   encode_C(x_1) -> C(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_B(x_1) -> B(encArg(x_1)) [0]
   b(x0) -> c_b(x0) [0]
   c(x0) -> c_c(x0) [0]
   C(x0) -> c_C(x0) [0]
   B(x0) -> c_B(x0) [0]

The TRS has the following type information:
C :: c_c:c_C:c_b:c_B -> c_c:c_C:c_b:c_B
c :: c_c:c_C:c_b:c_B -> c_c:c_C:c_b:c_B
c_c :: c_c:c_C:c_b:c_B -> c_c:c_C:c_b:c_B
c_C :: c_c:c_C:c_b:c_B -> c_c:c_C:c_b:c_B
c_B :: c_c:c_C:c_b:c_B -> c_c:c_C:c_b:c_B
c_b :: c_c:c_C:c_b:c_B -> c_c:c_C:c_b:c_B
B :: c_c:c_C:c_b:c_B -> c_c:c_C:c_b:c_B
b :: c_c:c_C:c_b:c_B -> c_c:c_C:c_b:c_B
encArg :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B
cons_C :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_c :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_b :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_B :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
encode_C :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B
encode_c :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B
encode_b :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B
encode_B :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B

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

(155) 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_C(v0) -> null_encode_C [0]
   encode_c(v0) -> null_encode_c [0]
   encode_b(v0) -> null_encode_b [0]
   encode_B(v0) -> null_encode_B [0]
   b(v0) -> null_b [0]
   c(v0) -> null_c [0]
   C(v0) -> null_C [0]
   B(v0) -> null_B [0]

And the following fresh constants:    null_encArg, null_encode_C, null_encode_c, null_encode_b, null_encode_B, null_b, null_c, null_C, null_B, const

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

(156)
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:

   C(x1) -> c(x1) [1]
   C(c_c(x1)) -> x1 [1]
   c(c_C(x1)) -> x1 [1]
   c(c_B(c_c(c_b(c_c(x1))))) -> B(c(b(c(B(c(b(x1))))))) [1]
   b(c_B(x1)) -> x1 [1]
   B(c_b(x1)) -> x1 [1]
   b(c_b(x1)) -> B(x1) [1]
   B(c_B(x1)) -> b(x1) [1]
   c(c_c(x1)) -> x1 [1]
   encArg(cons_C(x_1)) -> C(encArg(x_1)) [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_B(x_1)) -> B(encArg(x_1)) [0]
   encode_C(x_1) -> C(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_B(x_1) -> B(encArg(x_1)) [0]
   b(x0) -> c_b(x0) [0]
   c(x0) -> c_c(x0) [0]
   C(x0) -> c_C(x0) [0]
   B(x0) -> c_B(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_C(v0) -> null_encode_C [0]
   encode_c(v0) -> null_encode_c [0]
   encode_b(v0) -> null_encode_b [0]
   encode_B(v0) -> null_encode_B [0]
   b(v0) -> null_b [0]
   c(v0) -> null_c [0]
   C(v0) -> null_C [0]
   B(v0) -> null_B [0]

The TRS has the following type information:
C :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
c :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
c_c :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
c_C :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
c_B :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
c_b :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
B :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
b :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
encArg :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
cons_C :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_c :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_b :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_B :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
encode_C :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
encode_c :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
encode_b :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
encode_B :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
null_encArg :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
null_encode_C :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
null_encode_c :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
null_encode_b :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
null_encode_B :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
null_b :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
null_c :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
null_C :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
null_B :: c_c:c_C:c_b:c_B:null_encArg:null_encode_C:null_encode_c:null_encode_b:null_encode_B:null_b:null_c:null_C:null_B
const :: cons_C:cons_c:cons_b:cons_B

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

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

   null_encArg => 0
   null_encode_C => 0
   null_encode_c => 0
   null_encode_b => 0
   null_encode_B => 0
   null_b => 0
   null_c => 0
   null_C => 0
   null_B => 0
   const => 0

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

(158)
Obligation:
Complexity RNTS consisting of the following rules:

   B(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + x1
   B(z) -{ 1 }-> b(x1) :|: x1 >= 0, z = 1 + x1
   B(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   B(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   C(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + x1
   C(z) -{ 1 }-> c(x1) :|: x1 >= 0, z = x1
   C(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   C(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   b(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + x1
   b(z) -{ 1 }-> B(x1) :|: x1 >= 0, z = 1 + x1
   b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   b(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   c(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + x1
   c(z) -{ 1 }-> B(c(b(c(B(c(b(x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   c(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   c(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> c(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> b(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> C(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> B(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_B(z) -{ 0 }-> B(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_B(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_C(z) -{ 0 }-> C(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_C(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_b(z) -{ 0 }-> b(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_c(z) -{ 0 }-> c(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_c(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0

Only complete derivations are relevant for the runtime complexity.

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

(159) 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_C_1
   encode_c_1
   encode_b_1
   encode_B_1
   b_1
   c_1
   C_1
   B_1

Due to the following rules being added:

   encArg(v0) -> const [0]
   encode_C(v0) -> const [0]
   encode_c(v0) -> const [0]
   encode_b(v0) -> const [0]
   encode_B(v0) -> const [0]
   b(v0) -> const [0]
   c(v0) -> const [0]
   C(v0) -> const [0]
   B(v0) -> const [0]

And the following fresh constants:    const, const1

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

(160)
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:

   C(x1) -> c(x1) [1]
   C(c_c(x1)) -> x1 [1]
   c(c_C(x1)) -> x1 [1]
   c(c_B(c_c(c_b(c_c(x1))))) -> B(c(b(c(B(c(b(x1))))))) [1]
   b(c_B(x1)) -> x1 [1]
   B(c_b(x1)) -> x1 [1]
   b(c_b(x1)) -> B(x1) [1]
   B(c_B(x1)) -> b(x1) [1]
   c(c_c(x1)) -> x1 [1]
   encArg(cons_C(x_1)) -> C(encArg(x_1)) [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_B(x_1)) -> B(encArg(x_1)) [0]
   encode_C(x_1) -> C(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_B(x_1) -> B(encArg(x_1)) [0]
   b(x0) -> c_b(x0) [0]
   c(x0) -> c_c(x0) [0]
   C(x0) -> c_C(x0) [0]
   B(x0) -> c_B(x0) [0]
   encArg(v0) -> const [0]
   encode_C(v0) -> const [0]
   encode_c(v0) -> const [0]
   encode_b(v0) -> const [0]
   encode_B(v0) -> const [0]
   b(v0) -> const [0]
   c(v0) -> const [0]
   C(v0) -> const [0]
   B(v0) -> const [0]

The TRS has the following type information:
C :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
c :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
c_c :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
c_C :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
c_B :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
c_b :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
B :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
b :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
encArg :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:const
cons_C :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_c :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_b :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_B :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
encode_C :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:const
encode_c :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:const
encode_b :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:const
encode_B :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:const
const :: c_c:c_C:c_b:c_B:const
const1 :: cons_C:cons_c:cons_b:cons_B

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

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

(162)
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:

   C(x1) -> c(x1) [1]
   C(c_c(x1)) -> x1 [1]
   c(c_C(x1)) -> x1 [1]
   c(c_B(c_c(c_b(c_c(c_B(x1')))))) -> B(c(b(c(B(c(x1')))))) [2]
   c(c_B(c_c(c_b(c_c(c_b(x1'')))))) -> B(c(b(c(B(c(B(x1''))))))) [2]
   c(c_B(c_c(c_b(c_c(x1))))) -> B(c(b(c(B(c(c_b(x1))))))) [1]
   c(c_B(c_c(c_b(c_c(x1))))) -> B(c(b(c(B(c(const)))))) [1]
   b(c_B(x1)) -> x1 [1]
   B(c_b(x1)) -> x1 [1]
   b(c_b(x1)) -> B(x1) [1]
   B(c_B(x1)) -> b(x1) [1]
   c(c_c(x1)) -> x1 [1]
   encArg(cons_C(cons_C(x_1'))) -> C(C(encArg(x_1'))) [0]
   encArg(cons_C(cons_c(x_1''))) -> C(c(encArg(x_1''))) [0]
   encArg(cons_C(cons_b(x_11))) -> C(b(encArg(x_11))) [0]
   encArg(cons_C(cons_B(x_12))) -> C(B(encArg(x_12))) [0]
   encArg(cons_C(x_1)) -> C(const) [0]
   encArg(cons_c(cons_C(x_13))) -> c(C(encArg(x_13))) [0]
   encArg(cons_c(cons_c(x_14))) -> c(c(encArg(x_14))) [0]
   encArg(cons_c(cons_b(x_15))) -> c(b(encArg(x_15))) [0]
   encArg(cons_c(cons_B(x_16))) -> c(B(encArg(x_16))) [0]
   encArg(cons_c(x_1)) -> c(const) [0]
   encArg(cons_b(cons_C(x_17))) -> b(C(encArg(x_17))) [0]
   encArg(cons_b(cons_c(x_18))) -> b(c(encArg(x_18))) [0]
   encArg(cons_b(cons_b(x_19))) -> b(b(encArg(x_19))) [0]
   encArg(cons_b(cons_B(x_110))) -> b(B(encArg(x_110))) [0]
   encArg(cons_b(x_1)) -> b(const) [0]
   encArg(cons_B(cons_C(x_111))) -> B(C(encArg(x_111))) [0]
   encArg(cons_B(cons_c(x_112))) -> B(c(encArg(x_112))) [0]
   encArg(cons_B(cons_b(x_113))) -> B(b(encArg(x_113))) [0]
   encArg(cons_B(cons_B(x_114))) -> B(B(encArg(x_114))) [0]
   encArg(cons_B(x_1)) -> B(const) [0]
   encode_C(cons_C(x_115)) -> C(C(encArg(x_115))) [0]
   encode_C(cons_c(x_116)) -> C(c(encArg(x_116))) [0]
   encode_C(cons_b(x_117)) -> C(b(encArg(x_117))) [0]
   encode_C(cons_B(x_118)) -> C(B(encArg(x_118))) [0]
   encode_C(x_1) -> C(const) [0]
   encode_c(cons_C(x_119)) -> c(C(encArg(x_119))) [0]
   encode_c(cons_c(x_120)) -> c(c(encArg(x_120))) [0]
   encode_c(cons_b(x_121)) -> c(b(encArg(x_121))) [0]
   encode_c(cons_B(x_122)) -> c(B(encArg(x_122))) [0]
   encode_c(x_1) -> c(const) [0]
   encode_b(cons_C(x_123)) -> b(C(encArg(x_123))) [0]
   encode_b(cons_c(x_124)) -> b(c(encArg(x_124))) [0]
   encode_b(cons_b(x_125)) -> b(b(encArg(x_125))) [0]
   encode_b(cons_B(x_126)) -> b(B(encArg(x_126))) [0]
   encode_b(x_1) -> b(const) [0]
   encode_B(cons_C(x_127)) -> B(C(encArg(x_127))) [0]
   encode_B(cons_c(x_128)) -> B(c(encArg(x_128))) [0]
   encode_B(cons_b(x_129)) -> B(b(encArg(x_129))) [0]
   encode_B(cons_B(x_130)) -> B(B(encArg(x_130))) [0]
   encode_B(x_1) -> B(const) [0]
   b(x0) -> c_b(x0) [0]
   c(x0) -> c_c(x0) [0]
   C(x0) -> c_C(x0) [0]
   B(x0) -> c_B(x0) [0]
   encArg(v0) -> const [0]
   encode_C(v0) -> const [0]
   encode_c(v0) -> const [0]
   encode_b(v0) -> const [0]
   encode_B(v0) -> const [0]
   b(v0) -> const [0]
   c(v0) -> const [0]
   C(v0) -> const [0]
   B(v0) -> const [0]

The TRS has the following type information:
C :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
c :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
c_c :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
c_C :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
c_B :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
c_b :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
B :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
b :: c_c:c_C:c_b:c_B:const -> c_c:c_C:c_b:c_B:const
encArg :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:const
cons_C :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_c :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_b :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
cons_B :: cons_C:cons_c:cons_b:cons_B -> cons_C:cons_c:cons_b:cons_B
encode_C :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:const
encode_c :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:const
encode_b :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:const
encode_B :: cons_C:cons_c:cons_b:cons_B -> c_c:c_C:c_b:c_B:const
const :: c_c:c_C:c_b:c_B:const
const1 :: cons_C:cons_c:cons_b:cons_B

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

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

   const => 0
   const1 => 0

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

(164)
Obligation:
Complexity RNTS consisting of the following rules:

   B(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + x1
   B(z) -{ 1 }-> b(x1) :|: x1 >= 0, z = 1 + x1
   B(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   B(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   C(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + x1
   C(z) -{ 1 }-> c(x1) :|: x1 >= 0, z = x1
   C(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   C(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   b(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + x1
   b(z) -{ 1 }-> B(x1) :|: x1 >= 0, z = 1 + x1
   b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   b(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   c(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + x1
   c(z) -{ 2 }-> B(c(b(c(B(c(x1')))))) :|: x1' >= 0, z = 1 + (1 + (1 + (1 + (1 + x1'))))
   c(z) -{ 2 }-> B(c(b(c(B(c(B(x1''))))))) :|: x1'' >= 0, z = 1 + (1 + (1 + (1 + (1 + x1''))))
   c(z) -{ 1 }-> B(c(b(c(B(c(0)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   c(z) -{ 1 }-> B(c(b(c(B(c(1 + x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   c(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   c(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> c(c(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> c(b(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> c(C(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> c(B(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> c(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> b(c(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> b(b(encArg(x_19))) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> b(C(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> b(B(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> b(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> C(c(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> C(b(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> C(C(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> C(B(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> C(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> B(c(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> B(b(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> B(C(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> B(B(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0
   encArg(z) -{ 0 }-> B(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_B(z) -{ 0 }-> B(c(encArg(x_128))) :|: x_128 >= 0, z = 1 + x_128
   encode_B(z) -{ 0 }-> B(b(encArg(x_129))) :|: z = 1 + x_129, x_129 >= 0
   encode_B(z) -{ 0 }-> B(C(encArg(x_127))) :|: x_127 >= 0, z = 1 + x_127
   encode_B(z) -{ 0 }-> B(B(encArg(x_130))) :|: x_130 >= 0, z = 1 + x_130
   encode_B(z) -{ 0 }-> B(0) :|: x_1 >= 0, z = x_1
   encode_B(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_C(z) -{ 0 }-> C(c(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_C(z) -{ 0 }-> C(b(encArg(x_117))) :|: x_117 >= 0, z = 1 + x_117
   encode_C(z) -{ 0 }-> C(C(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_C(z) -{ 0 }-> C(B(encArg(x_118))) :|: z = 1 + x_118, x_118 >= 0
   encode_C(z) -{ 0 }-> C(0) :|: x_1 >= 0, z = x_1
   encode_C(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_b(z) -{ 0 }-> b(c(encArg(x_124))) :|: x_124 >= 0, z = 1 + x_124
   encode_b(z) -{ 0 }-> b(b(encArg(x_125))) :|: z = 1 + x_125, x_125 >= 0
   encode_b(z) -{ 0 }-> b(C(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   encode_b(z) -{ 0 }-> b(B(encArg(x_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_b(z) -{ 0 }-> b(0) :|: x_1 >= 0, z = x_1
   encode_b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_c(z) -{ 0 }-> c(c(encArg(x_120))) :|: x_120 >= 0, z = 1 + x_120
   encode_c(z) -{ 0 }-> c(b(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_c(z) -{ 0 }-> c(C(encArg(x_119))) :|: z = 1 + x_119, x_119 >= 0
   encode_c(z) -{ 0 }-> c(B(encArg(x_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_c(z) -{ 0 }-> c(0) :|: x_1 >= 0, z = x_1
   encode_c(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

(166)
Obligation:
Complexity RNTS consisting of the following rules:

   B(z) -{ 1 }-> b(z - 1) :|: z - 1 >= 0
   B(z) -{ 0 }-> 0 :|: z >= 0
   B(z) -{ 1 }-> z - 1 :|: z - 1 >= 0
   B(z) -{ 0 }-> 1 + z :|: z >= 0
   C(z) -{ 1 }-> c(z) :|: z >= 0
   C(z) -{ 0 }-> 0 :|: z >= 0
   C(z) -{ 1 }-> z - 1 :|: z - 1 >= 0
   C(z) -{ 0 }-> 1 + z :|: z >= 0
   b(z) -{ 1 }-> B(z - 1) :|: z - 1 >= 0
   b(z) -{ 0 }-> 0 :|: z >= 0
   b(z) -{ 1 }-> z - 1 :|: z - 1 >= 0
   b(z) -{ 0 }-> 1 + z :|: z >= 0
   c(z) -{ 2 }-> B(c(b(c(B(c(B(z - 5))))))) :|: z - 5 >= 0
   c(z) -{ 1 }-> B(c(b(c(B(c(0)))))) :|: z - 4 >= 0
   c(z) -{ 2 }-> B(c(b(c(B(c(z - 5)))))) :|: z - 5 >= 0
   c(z) -{ 1 }-> B(c(b(c(B(c(1 + (z - 4))))))) :|: z - 4 >= 0
   c(z) -{ 0 }-> 0 :|: z >= 0
   c(z) -{ 1 }-> z - 1 :|: z - 1 >= 0
   c(z) -{ 0 }-> 1 + z :|: z >= 0
   encArg(z) -{ 0 }-> c(c(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> c(b(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> c(C(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> c(B(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> c(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> b(c(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> b(b(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> b(C(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> b(B(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> b(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> C(c(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> C(b(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> C(C(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> C(B(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> C(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> B(c(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> B(b(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> B(C(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> B(B(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> B(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encode_B(z) -{ 0 }-> B(c(encArg(z - 1))) :|: z - 1 >= 0
   encode_B(z) -{ 0 }-> B(b(encArg(z - 1))) :|: z - 1 >= 0
   encode_B(z) -{ 0 }-> B(C(encArg(z - 1))) :|: z - 1 >= 0
   encode_B(z) -{ 0 }-> B(B(encArg(z - 1))) :|: z - 1 >= 0
   encode_B(z) -{ 0 }-> B(0) :|: z >= 0
   encode_B(z) -{ 0 }-> 0 :|: z >= 0
   encode_C(z) -{ 0 }-> C(c(encArg(z - 1))) :|: z - 1 >= 0
   encode_C(z) -{ 0 }-> C(b(encArg(z - 1))) :|: z - 1 >= 0
   encode_C(z) -{ 0 }-> C(C(encArg(z - 1))) :|: z - 1 >= 0
   encode_C(z) -{ 0 }-> C(B(encArg(z - 1))) :|: z - 1 >= 0
   encode_C(z) -{ 0 }-> C(0) :|: z >= 0
   encode_C(z) -{ 0 }-> 0 :|: z >= 0
   encode_b(z) -{ 0 }-> b(c(encArg(z - 1))) :|: z - 1 >= 0
   encode_b(z) -{ 0 }-> b(b(encArg(z - 1))) :|: z - 1 >= 0
   encode_b(z) -{ 0 }-> b(C(encArg(z - 1))) :|: z - 1 >= 0
   encode_b(z) -{ 0 }-> b(B(encArg(z - 1))) :|: z - 1 >= 0
   encode_b(z) -{ 0 }-> b(0) :|: z >= 0
   encode_b(z) -{ 0 }-> 0 :|: z >= 0
   encode_c(z) -{ 0 }-> c(c(encArg(z - 1))) :|: z - 1 >= 0
   encode_c(z) -{ 0 }-> c(b(encArg(z - 1))) :|: z - 1 >= 0
   encode_c(z) -{ 0 }-> c(C(encArg(z - 1))) :|: z - 1 >= 0
   encode_c(z) -{ 0 }-> c(B(encArg(z - 1))) :|: z - 1 >= 0
   encode_c(z) -{ 0 }-> c(0) :|: z >= 0
   encode_c(z) -{ 0 }-> 0 :|: z >= 0