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


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


WORST_CASE(?, O(n^1))
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 87 ms]
(4) CpxRelTRS
(5) CpxTrsToCdtProof [UPPER BOUND(ID), 643 ms]
(6) CdtProblem
(7) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
(8) CdtProblem
(9) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 206 ms]
(10) CdtProblem
(11) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 221 ms]
(12) CdtProblem
(13) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
(14) CdtProblem
(15) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 1329 ms]
(16) CdtProblem
(17) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 1624 ms]
(18) CdtProblem
(19) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 907 ms]
(20) CdtProblem
(21) SIsEmptyProof [BOTH BOUNDS(ID, ID), 0 ms]
(22) BOUNDS(1, 1)


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

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


The TRS R consists of the following rules:

   0(x1) -> 1(x1)
   0(0(x1)) -> 0(x1)
   3(4(5(x1))) -> 4(3(5(x1)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))) -> 0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(1(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(0(0(0(1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(x1)))))))))))))

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

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

   encArg(4(x_1)) -> 4(encArg(x_1))
   encArg(5(x_1)) -> 5(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))
   encode_5(x_1) -> 5(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))


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

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


The TRS R consists of the following rules:

   0(x1) -> 1(x1)
   0(0(x1)) -> 0(x1)
   3(4(5(x1))) -> 4(3(5(x1)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))) -> 0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(1(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(0(0(0(1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(x1)))))))))))))

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

   encArg(4(x_1)) -> 4(encArg(x_1))
   encArg(5(x_1)) -> 5(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))
   encode_5(x_1) -> 5(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   0(x1) -> 1(x1)
   0(0(x1)) -> 0(x1)
   3(4(5(x1))) -> 4(3(5(x1)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))) -> 0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(1(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(0(0(0(1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(x1)))))))))))))

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

   encArg(4(x_1)) -> 4(encArg(x_1))
   encArg(5(x_1)) -> 5(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_3(x_1) -> 3(encArg(x_1))
   encode_4(x_1) -> 4(encArg(x_1))
   encode_5(x_1) -> 5(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

(6)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(4(z0)) -> 4(encArg(z0))
   encArg(5(z0)) -> 5(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_4(z0) -> 4(encArg(z0))
   encode_5(z0) -> 5(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> 1(z0)
   0(0(z0)) -> 0(z0)
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> 0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(1(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(0(0(0(1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))
Tuples:
   ENCARG(4(z0)) -> c(ENCARG(z0))
   ENCARG(5(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c4(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c7(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)), ENCARG(z0))
   ENCODE_4(z0) -> c9(ENCARG(z0))
   ENCODE_5(z0) -> c10(ENCARG(z0))
   ENCODE_2(z0) -> c11(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c12(1'(z0))
   0'(0(z0)) -> c13(0'(z0))
   3'(4(5(z0))) -> c14(3'(5(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c15(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))), 0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))), 1'(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))), 1'(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))), 1'(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))), 1'(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))), 0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))), 1'(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))), 0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))), 1'(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))), 0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))), 0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))), 0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))), 0'(1(1(0(0(1(1(1(1(1(z0)))))))))), 1'(1(0(0(1(1(1(1(1(z0))))))))), 1'(0(0(1(1(1(1(1(z0)))))))), 0'(0(1(1(1(1(1(z0))))))), 0'(1(1(1(1(1(z0)))))), 1'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
   1'(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(1(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(0(0(0(1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c16(2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(z0))))))))))), 2'(2(2(2(2(2(2(2(2(2(z0)))))))))), 2'(2(2(2(2(2(2(2(2(z0))))))))), 2'(2(2(2(2(2(2(2(z0)))))))), 2'(2(2(2(2(2(2(z0))))))), 2'(2(2(2(2(2(z0)))))), 2'(2(2(2(2(z0))))), 2'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
S tuples:
   0'(z0) -> c12(1'(z0))
   0'(0(z0)) -> c13(0'(z0))
   3'(4(5(z0))) -> c14(3'(5(z0)))
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K tuples:none
Defined Rule Symbols:   0_1, 3_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_4_1, encode_5_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_3_1, ENCODE_4_1, ENCODE_5_1, ENCODE_2_1, 0'_1, 3'_1, 2'_1, 1'_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8_2, c9_1, c10_1, c11_2, c12_1, c13_1, c14_1, c15_144, c16_13


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

(7) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 4 leading nodes:
   ENCODE_4(z0) -> c9(ENCARG(z0))
   ENCODE_5(z0) -> c10(ENCARG(z0))
   0'(0(z0)) -> c13(0'(z0))
   1'(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(1(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(0(0(0(1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c16(2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))), 2'(2(2(2(2(2(2(2(2(2(2(z0))))))))))), 2'(2(2(2(2(2(2(2(2(2(z0)))))))))), 2'(2(2(2(2(2(2(2(2(z0))))))))), 2'(2(2(2(2(2(2(2(z0)))))))), 2'(2(2(2(2(2(2(z0))))))), 2'(2(2(2(2(2(z0)))))), 2'(2(2(2(2(z0))))), 2'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))

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

(8)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(4(z0)) -> 4(encArg(z0))
   encArg(5(z0)) -> 5(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_4(z0) -> 4(encArg(z0))
   encode_5(z0) -> 5(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> 1(z0)
   0(0(z0)) -> 0(z0)
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> 0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(1(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(0(0(0(1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))
Tuples:
   ENCARG(4(z0)) -> c(ENCARG(z0))
   ENCARG(5(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c4(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c7(1'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c11(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c12(1'(z0))
   3'(4(5(z0))) -> c14(3'(5(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c15(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1'(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1'(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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S tuples:
   0'(z0) -> c12(1'(z0))
   3'(4(5(z0))) -> c14(3'(5(z0)))
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1'(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))), 1'(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))), 0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))), 0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))), 1'(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))), 1'(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))), 1'(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))), 1'(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))), 0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))), 1'(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))), 0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))), 1'(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))), 0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))), 0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))), 0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))), 0'(1(1(0(0(1(1(1(1(1(z0)))))))))), 1'(1(0(0(1(1(1(1(1(z0))))))))), 1'(0(0(1(1(1(1(1(z0)))))))), 0'(0(1(1(1(1(1(z0))))))), 0'(1(1(1(1(1(z0)))))), 1'(1(1(1(1(z0))))), 1'(1(1(1(z0)))), 1'(1(1(z0))), 1'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 3_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_4_1, encode_5_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_3_1, ENCODE_2_1, 0'_1, 3'_1, 2'_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8_2, c11_2, c12_1, c14_1, c15_144


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

(9) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 76 trailing tuple parts
----------------------------------------

(10)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(4(z0)) -> 4(encArg(z0))
   encArg(5(z0)) -> 5(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_4(z0) -> 4(encArg(z0))
   encode_5(z0) -> 5(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> 1(z0)
   0(0(z0)) -> 0(z0)
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> 0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(1(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(0(0(0(1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))
Tuples:
   ENCARG(4(z0)) -> c(ENCARG(z0))
   ENCARG(5(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c4(2'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)), ENCARG(z0))
   ENCODE_3(z0) -> c8(3'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c11(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c5(ENCARG(z0))
   ENCODE_1(z0) -> c7(ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c15(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))), 0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))), 0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))), 0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))), 0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))), 0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))), 0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))), 0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))), 0'(1(1(0(0(1(1(1(1(1(z0)))))))))), 0'(0(1(1(1(1(1(z0))))))), 0'(1(1(1(1(1(z0)))))))
S tuples:
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
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0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))), 0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))), 0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))), 0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))), 0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))), 0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))), 0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))), 0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))), 0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))), 0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))), 0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))), 0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))), 0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))), 0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))), 0'(1(1(0(0(1(1(1(1(1(z0)))))))))), 0'(0(1(1(1(1(1(z0))))))), 0'(1(1(1(1(1(z0)))))))
K tuples:none
Defined Rule Symbols:   0_1, 3_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_4_1, encode_5_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, ENCODE_1_1, 0'_1, 3'_1, 2'_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c6_2, c8_2, c11_2, c5_1, c7_1, c12, c14, c15_72


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

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

(12)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(4(z0)) -> 4(encArg(z0))
   encArg(5(z0)) -> 5(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_4(z0) -> 4(encArg(z0))
   encode_5(z0) -> 5(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> 1(z0)
   0(0(z0)) -> 0(z0)
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> 0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(1(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(0(0(0(1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))
Tuples:
   ENCARG(4(z0)) -> c(ENCARG(z0))
   ENCARG(5(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c4(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c5(ENCARG(z0))
   ENCODE_1(z0) -> c7(ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
   ENCODE_0(z0) -> c9(0'(encArg(z0)))
   ENCODE_0(z0) -> c9(ENCARG(z0))
   ENCODE_3(z0) -> c9(3'(encArg(z0)))
   ENCODE_3(z0) -> c9(ENCARG(z0))
   ENCODE_2(z0) -> c9(2'(encArg(z0)))
   ENCODE_2(z0) -> c9(ENCARG(z0))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
S tuples:
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
K tuples:none
Defined Rule Symbols:   0_1, 3_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_4_1, encode_5_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_1_1, 0'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 2'_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c5_1, c7_1, c12, c14, c9_1


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

(13) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 4 leading nodes:
   ENCODE_1(z0) -> c7(ENCARG(z0))
   ENCODE_0(z0) -> c9(ENCARG(z0))
   ENCODE_3(z0) -> c9(ENCARG(z0))
   ENCODE_2(z0) -> c9(ENCARG(z0))

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

(14)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(4(z0)) -> 4(encArg(z0))
   encArg(5(z0)) -> 5(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_4(z0) -> 4(encArg(z0))
   encode_5(z0) -> 5(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> 1(z0)
   0(0(z0)) -> 0(z0)
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> 0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(1(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(0(0(0(1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))
Tuples:
   ENCARG(4(z0)) -> c(ENCARG(z0))
   ENCARG(5(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c4(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c5(ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
   ENCODE_0(z0) -> c9(0'(encArg(z0)))
   ENCODE_3(z0) -> c9(3'(encArg(z0)))
   ENCODE_2(z0) -> c9(2'(encArg(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
S tuples:
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
K tuples:none
Defined Rule Symbols:   0_1, 3_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_3_1, encode_4_1, encode_5_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 2'_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c5_1, c12, c14, c9_1


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

(15) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_3(z0) -> 3(encArg(z0))
   encode_4(z0) -> 4(encArg(z0))
   encode_5(z0) -> 5(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(0(z0)) -> 0(z0)
   1(1(0(0(1(1(0(1(0(0(1(0(1(1(1(1(1(0(0(1(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(1(0(1(0(0(0(0(0(0(1(0(0(0(1(0(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(1(1(0(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(1(0(1(1(0(0(0(1(0(1(1(0(1(1(0(1(1(0(0(0(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))

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

(16)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(4(z0)) -> 4(encArg(z0))
   encArg(5(z0)) -> 5(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> 1(z0)
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> 0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(4(z0)) -> c(ENCARG(z0))
   ENCARG(5(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c4(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c5(ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
   ENCODE_0(z0) -> c9(0'(encArg(z0)))
   ENCODE_3(z0) -> c9(3'(encArg(z0)))
   ENCODE_2(z0) -> c9(2'(encArg(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
S tuples:
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 3_1, 2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 2'_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c5_1, c12, c14, c9_1


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

(17) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1)))
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
   3'(4(5(z0))) -> c14
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
We considered the (Usable) Rules:none
And the Tuples:
   ENCARG(4(z0)) -> c(ENCARG(z0))
   ENCARG(5(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c4(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c5(ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
   ENCODE_0(z0) -> c9(0'(encArg(z0)))
   ENCODE_3(z0) -> c9(3'(encArg(z0)))
   ENCODE_2(z0) -> c9(2'(encArg(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
The order we found is given by the following interpretation:

Polynomial interpretation :

   POL(0(x_1)) = 0
   POL(0'(x_1)) = 0
   POL(1(x_1)) = [1]
   POL(2(x_1)) = [1]
   POL(2'(x_1)) = [1]
   POL(3(x_1)) = [1] + x_1
   POL(3'(x_1)) = [1]
   POL(4(x_1)) = [1] + x_1
   POL(5(x_1)) = [1] + x_1
   POL(ENCARG(x_1)) = x_1
   POL(ENCODE_0(x_1)) = 0
   POL(ENCODE_2(x_1)) = [1]
   POL(ENCODE_3(x_1)) = [1]
   POL(c(x_1)) = x_1
   POL(c1(x_1)) = x_1
   POL(c12) = 0
   POL(c14) = 0
   POL(c2(x_1, x_2)) = x_1 + x_2
   POL(c3(x_1, x_2)) = x_1 + x_2
   POL(c4(x_1, x_2)) = x_1 + x_2
   POL(c5(x_1)) = x_1
   POL(c9(x_1)) = x_1
   POL(cons_0(x_1)) = [1] + x_1
   POL(cons_1(x_1)) = [1] + x_1
   POL(cons_2(x_1)) = [1] + x_1
   POL(cons_3(x_1)) = [1] + x_1
   POL(encArg(x_1)) = [1] + x_1

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

(18)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(4(z0)) -> 4(encArg(z0))
   encArg(5(z0)) -> 5(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> 1(z0)
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> 0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(4(z0)) -> c(ENCARG(z0))
   ENCARG(5(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c4(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c5(ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
   ENCODE_0(z0) -> c9(0'(encArg(z0)))
   ENCODE_3(z0) -> c9(3'(encArg(z0)))
   ENCODE_2(z0) -> c9(2'(encArg(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
S tuples:
   0'(z0) -> c12
K tuples:
   3'(4(5(z0))) -> c14
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
Defined Rule Symbols:   encArg_1, 0_1, 3_1, 2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 2'_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c5_1, c12, c14, c9_1


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

(19) CdtRuleRemovalProof (UPPER BOUND(ADD(n^1)))
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
   0'(z0) -> c12
We considered the (Usable) Rules:none
And the Tuples:
   ENCARG(4(z0)) -> c(ENCARG(z0))
   ENCARG(5(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c4(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c5(ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
   ENCODE_0(z0) -> c9(0'(encArg(z0)))
   ENCODE_3(z0) -> c9(3'(encArg(z0)))
   ENCODE_2(z0) -> c9(2'(encArg(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
The order we found is given by the following interpretation:

Polynomial interpretation :

   POL(0(x_1)) = 0
   POL(0'(x_1)) = [1]
   POL(1(x_1)) = [1]
   POL(2(x_1)) = [1]
   POL(2'(x_1)) = [1]
   POL(3(x_1)) = [1] + x_1
   POL(3'(x_1)) = [1]
   POL(4(x_1)) = [1] + x_1
   POL(5(x_1)) = [1] + x_1
   POL(ENCARG(x_1)) = x_1
   POL(ENCODE_0(x_1)) = [1]
   POL(ENCODE_2(x_1)) = [1]
   POL(ENCODE_3(x_1)) = [1] + x_1
   POL(c(x_1)) = x_1
   POL(c1(x_1)) = x_1
   POL(c12) = 0
   POL(c14) = 0
   POL(c2(x_1, x_2)) = x_1 + x_2
   POL(c3(x_1, x_2)) = x_1 + x_2
   POL(c4(x_1, x_2)) = x_1 + x_2
   POL(c5(x_1)) = x_1
   POL(c9(x_1)) = x_1
   POL(cons_0(x_1)) = [1] + x_1
   POL(cons_1(x_1)) = [1] + x_1
   POL(cons_2(x_1)) = [1] + x_1
   POL(cons_3(x_1)) = [1] + x_1
   POL(encArg(x_1)) = [1] + x_1

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

(20)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(4(z0)) -> 4(encArg(z0))
   encArg(5(z0)) -> 5(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_3(z0)) -> 3(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> 1(z0)
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> 0(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(4(z0)) -> c(ENCARG(z0))
   ENCARG(5(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c2(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c3(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c4(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c5(ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c14
   ENCODE_0(z0) -> c9(0'(encArg(z0)))
   ENCODE_3(z0) -> c9(3'(encArg(z0)))
   ENCODE_2(z0) -> c9(2'(encArg(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(1(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(1(1(1(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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S tuples:none
K tuples:
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(0(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(0(1(1(0(0(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(0(1(1(0(0(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(0(0(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(0(0(1(1(1(1(1(z0)))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(0(1(1(1(1(1(z0))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))) -> c9(0'(1(1(1(1(1(z0)))))))
   0'(z0) -> c12
Defined Rule Symbols:   encArg_1, 0_1, 3_1, 2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 3'_1, ENCODE_0_1, ENCODE_3_1, ENCODE_2_1, 2'_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c5_1, c12, c14, c9_1


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(21) SIsEmptyProof (BOTH BOUNDS(ID, ID))
The set S is empty
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(22)
BOUNDS(1, 1)