/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


KILLED
proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 35 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
    (13) RewriteLemmaProof [LOWER BOUND(ID), 490 ms]
    (14) BOUNDS(1, INF)
(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) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 1 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (40) CdtProblem
        (41) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (44) CdtProblem
        (45) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (46) CdtProblem
        (47) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 9 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7 ms]
        (54) CdtProblem
        (55) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [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) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (68) CdtProblem
        (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10 ms]
        (70) CdtProblem
        (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (72) CdtProblem
        (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (74) CdtProblem
        (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (76) CdtProblem
        (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (78) CdtProblem
        (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (80) CdtProblem
        (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (82) CdtProblem
        (83) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (84) CdtProblem
        (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 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), 1 ms]
        (92) CdtProblem
        (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (94) CdtProblem
        (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 7 ms]
        (96) CdtProblem
        (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 60 ms]
        (98) CdtProblem
        (99) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (100) CdtProblem
        (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (102) CdtProblem
        (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (104) CdtProblem
        (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (106) CdtProblem
        (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (108) CdtProblem
        (109) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (110) CdtProblem
        (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 81 ms]
        (112) CdtProblem
        (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 15 ms]
        (114) CdtProblem
        (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 82 ms]
        (116) CdtProblem
        (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (118) CdtProblem
        (119) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 10 ms]
        (120) CdtProblem
        (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (122) CdtProblem


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

(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:

   b(b(b(a(b(x1))))) -> b(a(b(b(a(b(x1))))))
   b(a(b(b(x1)))) -> b(b(a(b(a(b(x1))))))
   b(a(b(a(a(b(b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(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(a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_a(x_1) -> a(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:

   b(b(b(a(b(x1))))) -> b(a(b(b(a(b(x1))))))
   b(a(b(b(x1)))) -> b(b(a(b(a(b(x1))))))
   b(a(b(a(a(b(b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1)))))))))))

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

   encArg(a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_a(x_1) -> a(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:

   b(b(b(a(b(x1))))) -> b(a(b(b(a(b(x1))))))
   b(a(b(b(x1)))) -> b(b(a(b(a(b(x1))))))
   b(a(b(a(a(b(b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1)))))))))))

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

   encArg(a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))

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

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

(6)
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:

   b(b(b(a(b(x1))))) -> b(a(b(b(a(b(x1))))))
   b(a(b(b(x1)))) -> b(b(a(b(a(b(x1))))))
   b(a(b(a(a(b(b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1)))))))))))

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

   encArg(a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))

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

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

(8)
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:

   b(b(b(a(b(x1))))) -> b(a(b(b(a(b(x1))))))
   b(a(b(b(x1)))) -> b(b(a(b(a(b(x1))))))
   b(a(b(a(a(b(b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1)))))))))))

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

   encArg(a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))

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

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

(10)
Obligation:
TRS:
Rules:
b(b(b(a(b(x1))))) -> b(a(b(b(a(b(x1))))))
b(a(b(b(x1)))) -> b(b(a(b(a(b(x1))))))
b(a(b(a(a(b(b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1)))))))))))
encArg(a(x_1)) -> a(encArg(x_1))
encArg(cons_b(x_1)) -> b(encArg(x_1))
encode_b(x_1) -> b(encArg(x_1))
encode_a(x_1) -> a(encArg(x_1))

Types:
b :: a:cons_b -> a:cons_b
a :: a:cons_b -> a:cons_b
encArg :: a:cons_b -> a:cons_b
cons_b :: a:cons_b -> a:cons_b
encode_b :: a:cons_b -> a:cons_b
encode_a :: a:cons_b -> a:cons_b
hole_a:cons_b1_0 :: a:cons_b
gen_a:cons_b2_0 :: Nat -> a:cons_b

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

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

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

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

(12)
Obligation:
TRS:
Rules:
b(b(b(a(b(x1))))) -> b(a(b(b(a(b(x1))))))
b(a(b(b(x1)))) -> b(b(a(b(a(b(x1))))))
b(a(b(a(a(b(b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1)))))))))))
encArg(a(x_1)) -> a(encArg(x_1))
encArg(cons_b(x_1)) -> b(encArg(x_1))
encode_b(x_1) -> b(encArg(x_1))
encode_a(x_1) -> a(encArg(x_1))

Types:
b :: a:cons_b -> a:cons_b
a :: a:cons_b -> a:cons_b
encArg :: a:cons_b -> a:cons_b
cons_b :: a:cons_b -> a:cons_b
encode_b :: a:cons_b -> a:cons_b
encode_a :: a:cons_b -> a:cons_b
hole_a:cons_b1_0 :: a:cons_b
gen_a:cons_b2_0 :: Nat -> a:cons_b


Generator Equations:
gen_a:cons_b2_0(0) <=> hole_a:cons_b1_0
gen_a:cons_b2_0(+(x, 1)) <=> a(gen_a:cons_b2_0(x))


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

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

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

(13) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_a:cons_b2_0(+(1, n19_0))) -> *3_0, rt in Omega(0)

Induction Base:
encArg(gen_a:cons_b2_0(+(1, 0)))

Induction Step:
encArg(gen_a:cons_b2_0(+(1, +(n19_0, 1)))) ->_R^Omega(0)
a(encArg(gen_a:cons_b2_0(+(1, n19_0)))) ->_IH
a(*3_0)

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

(14)
BOUNDS(1, INF)

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

(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:

   b(b(b(a(b(x1))))) -> b(a(b(b(a(b(x1))))))
   b(a(b(b(x1)))) -> b(b(a(b(a(b(x1))))))
   b(a(b(a(a(b(b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1)))))))))))
   encArg(a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_a(x_1) -> a(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:

   b(c_b(c_b(a(c_b(x1))))) -> b(a(b(b(a(b(x1))))))
   b(a(c_b(c_b(x1)))) -> b(b(a(b(a(b(x1))))))
   b(a(c_b(a(a(c_b(c_b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1)))))))))))

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

   encArg(a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   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:

   b(c_b(c_b(a(c_b(x1))))) -> b(a(b(b(a(b(x1))))))
   b(a(c_b(c_b(x1)))) -> b(b(a(b(a(b(x1))))))
   b(a(c_b(a(a(c_b(c_b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1)))))))))))

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

   encArg(a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   b(x0) -> c_b(x0)

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

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

(22)
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:

   b(c_b(c_b(a(c_b(x1))))) -> b(a(b(b(a(b(x1)))))) [1]
   b(a(c_b(c_b(x1)))) -> b(b(a(b(a(b(x1)))))) [1]
   b(a(c_b(a(a(c_b(c_b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1))))))))))) [1]
   encArg(a(x_1)) -> a(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_a(x_1) -> a(encArg(x_1)) [0]
   b(x0) -> c_b(x0) [0]

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

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

(24)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   b(c_b(c_b(a(c_b(x1))))) -> b(a(b(b(a(b(x1)))))) [1]
   b(a(c_b(c_b(x1)))) -> b(b(a(b(a(b(x1)))))) [1]
   b(a(c_b(a(a(c_b(c_b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1))))))))))) [1]
   encArg(a(x_1)) -> a(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_a(x_1) -> a(encArg(x_1)) [0]
   b(x0) -> c_b(x0) [0]

The TRS has the following type information:
b :: c_b:a:cons_b -> c_b:a:cons_b
c_b :: c_b:a:cons_b -> c_b:a:cons_b
a :: c_b:a:cons_b -> c_b:a:cons_b
encArg :: c_b:a:cons_b -> c_b:a:cons_b
cons_b :: c_b:a:cons_b -> c_b:a:cons_b
encode_b :: c_b:a:cons_b -> c_b:a:cons_b
encode_a :: c_b:a:cons_b -> c_b:a:cons_b

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

(25) 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_b_1
   encode_a_1
   b_1

Due to the following rules being added:

   encArg(v0) -> const [0]
   encode_b(v0) -> const [0]
   encode_a(v0) -> const [0]
   b(v0) -> const [0]

And the following fresh constants:    const

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

(26)
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:

   b(c_b(c_b(a(c_b(x1))))) -> b(a(b(b(a(b(x1)))))) [1]
   b(a(c_b(c_b(x1)))) -> b(b(a(b(a(b(x1)))))) [1]
   b(a(c_b(a(a(c_b(c_b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1))))))))))) [1]
   encArg(a(x_1)) -> a(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_a(x_1) -> a(encArg(x_1)) [0]
   b(x0) -> c_b(x0) [0]
   encArg(v0) -> const [0]
   encode_b(v0) -> const [0]
   encode_a(v0) -> const [0]
   b(v0) -> const [0]

The TRS has the following type information:
b :: c_b:a:cons_b:const -> c_b:a:cons_b:const
c_b :: c_b:a:cons_b:const -> c_b:a:cons_b:const
a :: c_b:a:cons_b:const -> c_b:a:cons_b:const
encArg :: c_b:a:cons_b:const -> c_b:a:cons_b:const
cons_b :: c_b:a:cons_b:const -> c_b:a:cons_b:const
encode_b :: c_b:a:cons_b:const -> c_b:a:cons_b:const
encode_a :: c_b:a:cons_b:const -> c_b:a:cons_b:const
const :: c_b:a:cons_b:const

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

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

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

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

   b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x1'))))))))) -> b(a(b(b(a(b(a(b(b(a(b(x1'))))))))))) [2]
   b(c_b(c_b(a(c_b(a(c_b(c_b(x1'')))))))) -> b(a(b(b(a(b(b(a(b(a(b(x1''))))))))))) [2]
   b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x11))))))))))) -> b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(x11)))))))))))))))) [2]
   b(c_b(c_b(a(c_b(x1))))) -> b(a(b(b(a(c_b(x1)))))) [1]
   b(c_b(c_b(a(c_b(x1))))) -> b(a(b(b(a(const))))) [1]
   b(a(c_b(c_b(c_b(c_b(a(c_b(x12)))))))) -> b(b(a(b(a(b(a(b(b(a(b(x12))))))))))) [2]
   b(a(c_b(c_b(a(c_b(c_b(x13))))))) -> b(b(a(b(a(b(b(a(b(a(b(x13))))))))))) [2]
   b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x14)))))))))) -> b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(x14)))))))))))))))) [2]
   b(a(c_b(c_b(x1)))) -> b(b(a(b(a(c_b(x1)))))) [1]
   b(a(c_b(c_b(x1)))) -> b(b(a(b(a(const))))) [1]
   b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x15))))))))))) -> b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(x15)))))))))))))))) [2]
   b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x16)))))))))) -> b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(x16)))))))))))))))) [2]
   b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x17))))))))))))) -> b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(x17))))))))))))))))))))) [2]
   b(a(c_b(a(a(c_b(c_b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(c_b(x1))))))))))) [1]
   b(a(c_b(a(a(c_b(c_b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(const)))))))))) [1]
   encArg(a(x_1)) -> a(encArg(x_1)) [0]
   encArg(cons_b(a(x_1'))) -> b(a(encArg(x_1'))) [0]
   encArg(cons_b(cons_b(x_1''))) -> b(b(encArg(x_1''))) [0]
   encArg(cons_b(x_1)) -> b(const) [0]
   encode_b(a(x_11)) -> b(a(encArg(x_11))) [0]
   encode_b(cons_b(x_12)) -> b(b(encArg(x_12))) [0]
   encode_b(x_1) -> b(const) [0]
   encode_a(x_1) -> a(encArg(x_1)) [0]
   b(x0) -> c_b(x0) [0]
   encArg(v0) -> const [0]
   encode_b(v0) -> const [0]
   encode_a(v0) -> const [0]
   b(v0) -> const [0]

The TRS has the following type information:
b :: c_b:a:cons_b:const -> c_b:a:cons_b:const
c_b :: c_b:a:cons_b:const -> c_b:a:cons_b:const
a :: c_b:a:cons_b:const -> c_b:a:cons_b:const
encArg :: c_b:a:cons_b:const -> c_b:a:cons_b:const
cons_b :: c_b:a:cons_b:const -> c_b:a:cons_b:const
encode_b :: c_b:a:cons_b:const -> c_b:a:cons_b:const
encode_a :: c_b:a:cons_b:const -> c_b:a:cons_b:const
const :: c_b:a:cons_b:const

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

(29) 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

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

(30)
Obligation:
Complexity RNTS consisting of the following rules:

   b(z) -{ 2 }-> b(b(1 + b(1 + b(b(1 + b(1 + b(x13))))))) :|: x13 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x13)))))
   b(z) -{ 2 }-> b(b(1 + b(1 + b(1 + b(b(1 + b(x12))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x12)))))), x12 >= 0
   b(z) -{ 2 }-> b(b(1 + b(1 + b(1 + (1 + b(1 + (1 + b(b(b(1 + b(x14))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x14)))))))), x14 >= 0
   b(z) -{ 1 }-> b(b(1 + b(1 + 0))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   b(z) -{ 1 }-> b(b(1 + b(1 + (1 + x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   b(z) -{ 2 }-> b(1 + b(b(1 + b(b(1 + b(1 + b(x1''))))))) :|: x1'' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1''))))))
   b(z) -{ 2 }-> b(1 + b(b(1 + b(1 + b(b(1 + b(x1'))))))) :|: x1' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1')))))))
   b(z) -{ 2 }-> b(1 + b(b(1 + b(1 + (1 + b(1 + (1 + b(b(b(1 + b(x11))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11))))))))), x11 >= 0
   b(z) -{ 1 }-> b(1 + b(b(1 + 0))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   b(z) -{ 1 }-> b(1 + b(b(1 + (1 + x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   b(z) -{ 2 }-> b(1 + (1 + b(1 + (1 + b(b(b(1 + b(b(1 + b(1 + b(x16))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x16)))))))), x16 >= 0
   b(z) -{ 2 }-> b(1 + (1 + b(1 + (1 + b(b(b(1 + b(1 + b(b(1 + b(x15))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x15))))))))), x15 >= 0
   b(z) -{ 2 }-> b(1 + (1 + b(1 + (1 + b(b(b(1 + b(1 + (1 + b(1 + (1 + b(b(b(1 + b(x17))))))))))))))) :|: x17 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x17)))))))))))
   b(z) -{ 1 }-> b(1 + (1 + b(1 + (1 + b(b(b(1 + 0))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1)))))
   b(z) -{ 1 }-> b(1 + (1 + b(1 + (1 + b(b(b(1 + (1 + x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1)))))
   b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   b(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> b(b(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> b(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> b(1 + encArg(x_1')) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) :|: z = 1 + x_1, x_1 >= 0
   encode_a(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_a(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1
   encode_b(z) -{ 0 }-> b(b(encArg(x_12))) :|: z = 1 + x_12, x_12 >= 0
   encode_b(z) -{ 0 }-> b(0) :|: x_1 >= 0, z = x_1
   encode_b(z) -{ 0 }-> b(1 + encArg(x_11)) :|: x_11 >= 0, z = 1 + x_11
   encode_b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

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

   b(z) -{ 2 }-> b(b(1 + b(1 + b(b(1 + b(1 + b(z - 6))))))) :|: z - 6 >= 0
   b(z) -{ 2 }-> b(b(1 + b(1 + b(1 + b(b(1 + b(z - 7))))))) :|: z - 7 >= 0
   b(z) -{ 2 }-> b(b(1 + b(1 + b(1 + (1 + b(1 + (1 + b(b(b(1 + b(z - 9))))))))))) :|: z - 9 >= 0
   b(z) -{ 1 }-> b(b(1 + b(1 + 0))) :|: z - 3 >= 0
   b(z) -{ 1 }-> b(b(1 + b(1 + (1 + (z - 3))))) :|: z - 3 >= 0
   b(z) -{ 2 }-> b(1 + b(b(1 + b(b(1 + b(1 + b(z - 7))))))) :|: z - 7 >= 0
   b(z) -{ 2 }-> b(1 + b(b(1 + b(1 + b(b(1 + b(z - 8))))))) :|: z - 8 >= 0
   b(z) -{ 2 }-> b(1 + b(b(1 + b(1 + (1 + b(1 + (1 + b(b(b(1 + b(z - 10))))))))))) :|: z - 10 >= 0
   b(z) -{ 1 }-> b(1 + b(b(1 + 0))) :|: z - 4 >= 0
   b(z) -{ 1 }-> b(1 + b(b(1 + (1 + (z - 4))))) :|: z - 4 >= 0
   b(z) -{ 2 }-> b(1 + (1 + b(1 + (1 + b(b(b(1 + b(b(1 + b(1 + b(z - 9))))))))))) :|: z - 9 >= 0
   b(z) -{ 2 }-> b(1 + (1 + b(1 + (1 + b(b(b(1 + b(1 + b(b(1 + b(z - 10))))))))))) :|: z - 10 >= 0
   b(z) -{ 2 }-> b(1 + (1 + b(1 + (1 + b(b(b(1 + b(1 + (1 + b(1 + (1 + b(b(b(1 + b(z - 12))))))))))))))) :|: z - 12 >= 0
   b(z) -{ 1 }-> b(1 + (1 + b(1 + (1 + b(b(b(1 + 0))))))) :|: z - 6 >= 0
   b(z) -{ 1 }-> b(1 + (1 + b(1 + (1 + b(b(b(1 + (1 + (z - 6))))))))) :|: z - 6 >= 0
   b(z) -{ 0 }-> 0 :|: z >= 0
   b(z) -{ 0 }-> 1 + z :|: z >= 0
   encArg(z) -{ 0 }-> b(b(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> b(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> b(1 + encArg(z - 2)) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encArg(z) -{ 0 }-> 1 + encArg(z - 1) :|: z - 1 >= 0
   encode_a(z) -{ 0 }-> 0 :|: z >= 0
   encode_a(z) -{ 0 }-> 1 + encArg(z) :|: z >= 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 }-> b(1 + encArg(z - 1)) :|: z - 1 >= 0
   encode_b(z) -{ 0 }-> 0 :|: z >= 0


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

(33) 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_b(v0) -> null_encode_b [0]
   encode_a(v0) -> null_encode_a [0]
   b(v0) -> null_b [0]

And the following fresh constants:    null_encArg, null_encode_b, null_encode_a, null_b

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

(34)
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:

   b(c_b(c_b(a(c_b(x1))))) -> b(a(b(b(a(b(x1)))))) [1]
   b(a(c_b(c_b(x1)))) -> b(b(a(b(a(b(x1)))))) [1]
   b(a(c_b(a(a(c_b(c_b(x1))))))) -> b(a(a(b(a(a(b(b(b(a(b(x1))))))))))) [1]
   encArg(a(x_1)) -> a(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_a(x_1) -> a(encArg(x_1)) [0]
   b(x0) -> c_b(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_b(v0) -> null_encode_b [0]
   encode_a(v0) -> null_encode_a [0]
   b(v0) -> null_b [0]

The TRS has the following type information:
b :: c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b -> c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b
c_b :: c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b -> c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b
a :: c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b -> c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b
encArg :: c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b -> c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b
cons_b :: c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b -> c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b
encode_b :: c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b -> c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b
encode_a :: c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b -> c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b
null_encArg :: c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b
null_encode_b :: c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b
null_encode_a :: c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b
null_b :: c_b:a:cons_b:null_encArg:null_encode_b:null_encode_a:null_b

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

(35) 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_b => 0
   null_encode_a => 0
   null_b => 0

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

(36)
Obligation:
Complexity RNTS consisting of the following rules:

   b(z) -{ 1 }-> b(b(1 + b(1 + b(x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   b(z) -{ 1 }-> b(1 + b(b(1 + b(x1)))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + x1)))
   b(z) -{ 1 }-> b(1 + (1 + b(1 + (1 + b(b(b(1 + b(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1)))))
   b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   b(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> b(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) :|: z = 1 + x_1, x_1 >= 0
   encode_a(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_a(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1
   encode_b(z) -{ 0 }-> b(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0

Only complete derivations are relevant for the runtime complexity.

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

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCARG(cons_b(z0)) -> c1(B(encArg(z0)), ENCARG(z0))
   ENCODE_B(z0) -> c2(B(encArg(z0)), ENCARG(z0))
   ENCODE_A(z0) -> c3(ENCARG(z0))
   B(z0) -> c4
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(a(a(b(a(a(b(b(b(a(b(z0))))))))))), B(a(a(b(b(b(a(b(z0)))))))), B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
S tuples:
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(a(a(b(a(a(b(b(b(a(b(z0))))))))))), B(a(a(b(b(b(a(b(z0)))))))), B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
K tuples:none
Defined Rule Symbols:   b_1, encArg_1, encode_b_1, encode_a_1

Defined Pair Symbols:   ENCARG_1, ENCODE_B_1, ENCODE_A_1, B_1

Compound Symbols:   c_1, c1_2, c2_2, c3_1, c4, c5_4, c6_4, c7_6


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

(39) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 1 leading nodes:
   ENCODE_A(z0) -> c3(ENCARG(z0))
Removed 1 trailing nodes:
   B(z0) -> c4

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCARG(cons_b(z0)) -> c1(B(encArg(z0)), ENCARG(z0))
   ENCODE_B(z0) -> c2(B(encArg(z0)), ENCARG(z0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(a(a(b(a(a(b(b(b(a(b(z0))))))))))), B(a(a(b(b(b(a(b(z0)))))))), B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
S tuples:
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(a(a(b(a(a(b(b(b(a(b(z0))))))))))), B(a(a(b(b(b(a(b(z0)))))))), B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
K tuples:none
Defined Rule Symbols:   b_1, encArg_1, encode_b_1, encode_a_1

Defined Pair Symbols:   ENCARG_1, ENCODE_B_1, B_1

Compound Symbols:   c_1, c1_2, c2_2, c5_4, c6_4, c7_6


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCARG(cons_b(z0)) -> c1(B(encArg(z0)), ENCARG(z0))
   ENCODE_B(z0) -> c2(B(encArg(z0)), ENCARG(z0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
S tuples:
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
K tuples:none
Defined Rule Symbols:   b_1, encArg_1, encode_b_1, encode_a_1

Defined Pair Symbols:   ENCARG_1, ENCODE_B_1, B_1

Compound Symbols:   c_1, c1_2, c2_2, c5_4, c6_4, c7_4


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

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCARG(cons_b(z0)) -> c1(B(encArg(z0)), ENCARG(z0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   ENCODE_B(z0) -> c3(B(encArg(z0)))
   ENCODE_B(z0) -> c3(ENCARG(z0))
S tuples:
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
K tuples:none
Defined Rule Symbols:   b_1, encArg_1, encode_b_1, encode_a_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c1_2, c5_4, c6_4, c7_4, c3_1


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

(45) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 1 leading nodes:
   ENCODE_B(z0) -> c3(ENCARG(z0))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCARG(cons_b(z0)) -> c1(B(encArg(z0)), ENCARG(z0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   ENCODE_B(z0) -> c3(B(encArg(z0)))
S tuples:
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
K tuples:none
Defined Rule Symbols:   b_1, encArg_1, encode_b_1, encode_a_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c1_2, c5_4, c6_4, c7_4, c3_1


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

(47) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_b(z0) -> b(encArg(z0))
   encode_a(z0) -> a(encArg(z0))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCARG(cons_b(z0)) -> c1(B(encArg(z0)), ENCARG(z0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   ENCODE_B(z0) -> c3(B(encArg(z0)))
S tuples:
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c1_2, c5_4, c6_4, c7_4, c3_1


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_b(z0)) -> c1(B(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_b(a(z0))) -> c1(B(a(encArg(z0))), ENCARG(a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c1(B(b(encArg(z0))), ENCARG(cons_b(z0)))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   ENCODE_B(z0) -> c3(B(encArg(z0)))
   ENCARG(cons_b(a(z0))) -> c1(B(a(encArg(z0))), ENCARG(a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c1(B(b(encArg(z0))), ENCARG(cons_b(z0)))
S tuples:
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c5_4, c6_4, c7_4, c3_1, c1_2


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0)) by 
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   ENCODE_B(z0) -> c3(B(encArg(z0)))
   ENCARG(cons_b(a(z0))) -> c1(B(a(encArg(z0))), ENCARG(a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c1(B(b(encArg(z0))), ENCARG(cons_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
S tuples:
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_4, c7_4, c3_1, c1_2, c5_4


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0)) by 
   B(a(c_b(c_b(x0)))) -> c6(B(c_b(a(b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   ENCODE_B(z0) -> c3(B(encArg(z0)))
   ENCARG(cons_b(a(z0))) -> c1(B(a(encArg(z0))), ENCARG(a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c1(B(b(encArg(z0))), ENCARG(cons_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(c_b(a(b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
S tuples:
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(c_b(a(b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c7_4, c3_1, c1_2, c5_4, c6_4


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

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   ENCODE_B(z0) -> c3(B(encArg(z0)))
   ENCARG(cons_b(a(z0))) -> c1(B(a(encArg(z0))), ENCARG(a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c1(B(b(encArg(z0))), ENCARG(cons_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
S tuples:
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c7_4, c3_1, c1_2, c5_4, c6_4, c6_3


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0)) by 
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCODE_B(z0) -> c3(B(encArg(z0)))
   ENCARG(cons_b(a(z0))) -> c1(B(a(encArg(z0))), ENCARG(a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c1(B(b(encArg(z0))), ENCARG(cons_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
S tuples:
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, ENCODE_B_1, B_1

Compound Symbols:   c_1, c3_1, c1_2, c5_4, c6_4, c6_3, c7_4


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

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B(z0) -> c3(B(encArg(z0))) by 
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCARG(cons_b(a(z0))) -> c1(B(a(encArg(z0))), ENCARG(a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c1(B(b(encArg(z0))), ENCARG(cons_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
S tuples:
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c1_2, c5_4, c6_4, c6_3, c7_4, c3_1


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

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_b(a(z0))) -> c1(B(a(encArg(z0))), ENCARG(a(z0))) by 
   ENCARG(cons_b(a(a(z0)))) -> c1(B(a(a(encArg(z0)))), ENCARG(a(a(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))

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

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCARG(cons_b(cons_b(z0))) -> c1(B(b(encArg(z0))), ENCARG(cons_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(a(z0)))) -> c1(B(a(a(encArg(z0)))), ENCARG(a(a(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
S tuples:
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c1_2, c5_4, c6_4, c6_3, c7_4, c3_1, c1_1


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

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCARG(cons_b(cons_b(z0))) -> c1(B(b(encArg(z0))), ENCARG(cons_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
S tuples:
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c1_2, c5_4, c6_4, c6_3, c7_4, c3_1, c1_1


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

(65) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_b(cons_b(z0))) -> c1(B(b(encArg(z0))), ENCARG(cons_b(z0))) by 
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
S tuples:
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c5_4, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1


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

(67) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0)) by 
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
S tuples:
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c5_4, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1


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

(69) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0)) by 
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
S tuples:
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c5_4, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_1


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

(71) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0)) by 
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(b(a(c_b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(b(c_b(a(c_b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))), B(a(a(c_b(c_b(z0))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))), B(a(a(c_b(c_b(z0))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
S tuples:
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))), B(a(a(c_b(c_b(z0))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c5_4, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_1, c5_3


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

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

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
S tuples:
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c5_4, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_1, c5_3


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

(75) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0)))))) by 
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
S tuples:
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c5_4, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_1, c5_3, c5_2


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

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0))))) by 
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
S tuples:
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c5_4, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_1, c5_3, c5_2


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

(79) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0)))))))) by 
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
S tuples:
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2


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

(81) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0)) by 
   B(a(c_b(c_b(x0)))) -> c6(B(c_b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(c_b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
S tuples:
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(x0)))) -> c6(B(c_b(a(c_b(a(b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_1


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

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
S tuples:
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_1


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

(85) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(c_b(z0)))) -> c6(B(b(a(b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0)) by 
   B(a(c_b(c_b(x0)))) -> c6(B(c_b(a(b(a(c_b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(x0)))) -> c6(B(b(a(c_b(a(c_b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))), B(a(a(c_b(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(c_b(a(b(a(c_b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))), B(a(a(c_b(c_b(z0))))))
S tuples:
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(c_b(a(b(a(c_b(x0)))))), B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))), B(a(a(c_b(c_b(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_1


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

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
S tuples:
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_1


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

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0))))) by 
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(c_b(a(b(a(b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(c_b(a(b(a(b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
S tuples:
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(c_b(a(b(a(b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_1, c6_2


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

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
S tuples:
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_1, c6_2


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

(93) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0)))))))) by 
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(c_b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(c_b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
S tuples:
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(c_b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_1, c6_2


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

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

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
S tuples:
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_4, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_1, c6_2


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

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0)))))) by 
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(c_b(a(b(a(b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))

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

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(c_b(a(b(a(b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
S tuples:
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(c_b(a(b(a(b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_2


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

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

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
S tuples:
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_2


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

(101) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0)) by 
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
S tuples:
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_2


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

(103) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0)) by 
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))

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

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
S tuples:
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_2


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

(105) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0)) by 
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))

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

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
S tuples:
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_2, c7_1


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

(107) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0)) by 
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(b(a(c_b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(c_b(a(c_b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))), B(a(a(c_b(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))

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

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))), B(a(a(c_b(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
S tuples:
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))), B(a(a(c_b(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_2, c7_1, c7_3


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

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

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
S tuples:
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_2, c7_1, c7_3


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

(111) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0)))))) by 
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))

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

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
S tuples:
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_2, c7_1, c7_3, c7_2


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

(113) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0))))) by 
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(c_b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(c_b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(b(a(c_b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(c_b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))

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

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(c_b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(c_b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(b(a(c_b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(c_b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
S tuples:
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(c_b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(c_b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(b(a(c_b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(c_b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_3, c7_4, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_2, c7_1, c7_3, c7_2


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

(115) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0)))))))) by 
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))

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

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   ENCODE_B(a(z0)) -> c3(B(a(encArg(z0))))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(c_b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(c_b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(b(a(c_b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(c_b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
S tuples:
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(c_b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(c_b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(b(a(c_b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(c_b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_3, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_2, c7_4, c7_1, c7_3, c7_2


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

(117) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B(a(z0)) -> c3(B(a(encArg(z0)))) by 
   ENCODE_B(a(a(z0))) -> c3(B(a(a(encArg(z0)))))
   ENCODE_B(a(cons_b(z0))) -> c3(B(a(b(encArg(z0)))))

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

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(c_b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(c_b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(b(a(c_b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(c_b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   ENCODE_B(a(a(z0))) -> c3(B(a(a(encArg(z0)))))
   ENCODE_B(a(cons_b(z0))) -> c3(B(a(b(encArg(z0)))))
S tuples:
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(c_b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(c_b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(b(a(c_b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(c_b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c6_3, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_2, c7_4, c7_1, c7_3, c7_2


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

(119) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCODE_B(a(a(z0))) -> c3(B(a(a(encArg(z0)))))

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

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0))))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(c_b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(c_b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(b(a(c_b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(c_b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   ENCODE_B(a(cons_b(z0))) -> c3(B(a(b(encArg(z0)))))
S tuples:
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(c_b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(c_b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(b(a(c_b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(c_b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, ENCODE_B_1, B_1

Compound Symbols:   c_1, c3_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_3, c6_2, c7_4, c7_1, c7_3, c7_2


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

(121) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_B(cons_b(z0)) -> c3(B(b(encArg(z0)))) by 
   ENCODE_B(cons_b(x0)) -> c3(B(c_b(encArg(x0))))
   ENCODE_B(cons_b(a(z0))) -> c3(B(b(a(encArg(z0)))))
   ENCODE_B(cons_b(cons_b(z0))) -> c3(B(b(b(encArg(z0)))))

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

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   b(z0) -> c_b(z0)
   b(c_b(c_b(a(c_b(z0))))) -> b(a(b(b(a(b(z0))))))
   b(a(c_b(c_b(z0)))) -> b(b(a(b(a(b(z0))))))
   b(a(c_b(a(a(c_b(c_b(z0))))))) -> b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))
Tuples:
   ENCARG(a(z0)) -> c(ENCARG(z0))
   ENCARG(cons_b(a(cons_b(z0)))) -> c1(B(a(b(encArg(z0)))), ENCARG(a(cons_b(z0))))
   ENCARG(cons_b(a(x0))) -> c1(ENCARG(a(x0)))
   ENCARG(cons_b(a(a(z0)))) -> c1(ENCARG(a(a(z0))))
   ENCARG(cons_b(cons_b(x0))) -> c1(B(c_b(encArg(x0))), ENCARG(cons_b(x0)))
   ENCARG(cons_b(cons_b(a(z0)))) -> c1(B(b(a(encArg(z0)))), ENCARG(cons_b(a(z0))))
   ENCARG(cons_b(cons_b(cons_b(z0)))) -> c1(B(b(b(encArg(z0)))), ENCARG(cons_b(cons_b(z0))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(c_b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(c_b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(b(a(c_b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(c_b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   ENCODE_B(a(cons_b(z0))) -> c3(B(a(b(encArg(z0)))))
   ENCODE_B(cons_b(x0)) -> c3(B(c_b(encArg(x0))))
   ENCODE_B(cons_b(a(z0))) -> c3(B(b(a(encArg(z0)))))
   ENCODE_B(cons_b(cons_b(z0))) -> c3(B(b(b(encArg(z0)))))
S tuples:
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(a(c_b(c_b(a(b(x0)))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(c_b(b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(c_b(b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(c_b(b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(z0))))) -> c5(B(a(b(c_b(a(c_b(z0)))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(c_b(a(b(a(b(b(a(b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(c_b(a(b(b(a(b(a(b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))))
   B(c_b(c_b(a(c_b(c_b(z0)))))) -> c5(B(a(b(b(b(a(b(a(b(z0))))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(c_b(c_b(a(c_b(x0))))) -> c5(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))) -> c5(B(a(b(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(c_b(a(b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(c_b(b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(a(b(b(a(b(a(b(c_b(a(b(x0))))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(c_b(z0))))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(x0))))))))) -> c5(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(c_b(b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(c_b(a(b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(a(b(b(a(b(b(a(c_b(a(b(x0))))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))) -> c5(B(a(b(b(a(b(b(a(b(a(c_b(z0))))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(c_b(x0)))))))) -> c5(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c5(B(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))) -> c5(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(z0)))) -> c6(B(b(a(c_b(a(c_b(z0)))))), B(a(b(a(b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(c_b(a(b(a(b(b(a(b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(c_b(a(b(b(a(b(a(b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(b(a(b(x0))))))
   B(a(c_b(c_b(c_b(z0))))) -> c6(B(b(a(b(b(a(b(a(b(z0))))))))), B(a(b(a(b(c_b(z0)))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(c_b(a(a(c_b(c_b(z0)))))))) -> c6(B(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))), B(a(b(a(b(a(a(c_b(c_b(z0))))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(c_b(b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(c_b(a(b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(b(a(b(a(b(b(a(c_b(a(b(x0))))))))))), B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(b(a(b(a(b(b(a(b(a(c_b(z0))))))))))), B(a(b(a(b(a(c_b(c_b(z0)))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(b(a(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(c_b(a(c_b(c_b(x0))))))) -> c6(B(a(b(a(b(a(c_b(c_b(x0)))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0)))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(z0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0)))))))))) -> c6(B(a(b(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(c_b(a(b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(c_b(b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(b(a(b(a(b(a(b(c_b(a(b(x0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(b(a(b(a(b(a(b(b(a(c_b(z0))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(z0))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(b(a(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))) -> c6(B(b(a(b(a(b(a(b(b(a(b(a(b(b(a(b(z0)))))))))))))))), B(a(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(x0)))))))) -> c6(B(a(b(a(b(c_b(c_b(a(c_b(x0))))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(c_b(x0)))) -> c6(B(a(c_b(a(b(x0))))), B(a(b(x0))), B(x0))
   B(a(c_b(c_b(z0)))) -> c6(B(a(b(a(c_b(z0))))), B(a(b(z0))), B(z0))
   B(a(c_b(c_b(a(c_b(c_b(z0))))))) -> c6(B(a(b(a(b(b(a(b(a(b(z0)))))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))) -> c6(B(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))) -> c6(B(a(b(a(b(a(b(b(a(b(z0)))))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(c_b(c_b(a(b(x0))))), B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(c_b(b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(c_b(b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(c_b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(c_b(b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(z0))))))) -> c7(B(b(c_b(a(c_b(z0))))), B(b(a(b(z0)))), B(a(b(z0))), B(z0))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(c_b(a(b(a(b(b(a(b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(c_b(a(b(b(a(b(a(b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(c_b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))))
   B(a(c_b(a(a(c_b(c_b(c_b(z0)))))))) -> c7(B(b(b(b(a(b(a(b(z0)))))))), B(b(a(b(c_b(z0))))), B(a(b(c_b(z0)))), B(c_b(z0)))
   B(a(c_b(a(a(c_b(c_b(x0))))))) -> c7(B(b(a(b(x0)))), B(a(b(x0))), B(x0))
   B(a(c_b(a(a(c_b(c_b(a(a(c_b(c_b(z0))))))))))) -> c7(B(b(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))), B(b(a(b(a(a(c_b(c_b(z0)))))))), B(a(b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(c_b(a(b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(c_b(b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(b(a(b(a(b(c_b(a(b(x0)))))))))), B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))), B(c_b(c_b(a(c_b(x0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))) -> c7(B(b(b(a(b(a(b(b(a(c_b(z0)))))))))), B(b(a(b(c_b(c_b(a(c_b(z0)))))))), B(a(b(c_b(c_b(a(c_b(z0))))))), B(c_b(c_b(a(c_b(z0))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0)))))))))))), B(a(b(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))), B(c_b(c_b(a(c_b(c_b(c_b(a(c_b(z0))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))), B(c_b(c_b(a(c_b(a(c_b(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))), B(a(b(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(c_b(c_b(a(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(x0))))))))))) -> c7(B(b(a(b(c_b(c_b(a(c_b(x0)))))))), B(a(b(c_b(c_b(a(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(c_b(b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(c_b(a(b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(b(a(b(b(a(c_b(a(b(x0)))))))))), B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))), B(a(c_b(c_b(x0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))) -> c7(B(b(b(a(b(b(a(b(a(c_b(z0)))))))))), B(b(a(b(a(c_b(c_b(z0))))))), B(a(b(a(c_b(c_b(z0)))))), B(a(c_b(c_b(z0)))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(b(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))), B(a(b(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))), B(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(b(a(b(a(b(z0))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(c_b(a(c_b(c_b(z0))))))))), B(a(c_b(c_b(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(b(a(b(a(b(a(a(b(a(a(b(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))), B(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(x0)))))))))) -> c7(B(b(a(b(a(c_b(c_b(x0))))))), B(a(b(a(c_b(c_b(x0)))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(c_b(a(a(b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(c_b(a(a(b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(c_b(b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(c_b(b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(c_b(a(b(x0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))), B(a(c_b(a(a(c_b(c_b(x0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(c_b(z0))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(z0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(z0))))))))), B(a(c_b(a(a(c_b(c_b(z0))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(b(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0)))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))), B(a(c_b(a(a(c_b(c_b(c_b(c_b(a(c_b(z0))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(b(a(b(a(b(z0)))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(c_b(z0)))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))))))) -> c7(B(b(b(a(b(a(a(b(a(a(b(b(b(a(b(a(a(b(a(a(b(b(b(a(b(z0))))))))))))))))))))))))), B(b(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0)))))))))))))))), B(a(b(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))), B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(z0))))))))))))))
   B(a(c_b(a(a(c_b(c_b(a(c_b(a(a(c_b(c_b(x0))))))))))))) -> c7(B(b(a(b(a(c_b(a(a(c_b(c_b(x0)))))))))), B(a(b(a(c_b(a(a(c_b(c_b(x0))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, b_1

Defined Pair Symbols:   ENCARG_1, B_1, ENCODE_B_1

Compound Symbols:   c_1, c1_2, c1_1, c5_4, c5_1, c5_3, c5_2, c6_4, c6_1, c6_3, c6_2, c7_4, c7_1, c7_3, c7_2, c3_1