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


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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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 59 ms]
(4) CpxRelTRS
(5) CpxTrsToCdtProof [UPPER BOUND(ID), 3242 ms]
(6) CdtProblem
(7) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
(8) CdtProblem
(9) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
(10) CdtProblem
(11) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 1505 ms]
(12) CdtProblem
(13) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
(14) CdtProblem
(15) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 10.7 s]
(16) CdtProblem
(17) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 7274 ms]
(18) CdtProblem
(19) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 6425 ms]
(20) CdtProblem
(21) CdtRuleRemovalProof [UPPER BOUND(ADD(n^1)), 6294 ms]
(22) CdtProblem
(23) SIsEmptyProof [BOTH BOUNDS(ID, ID), 0 ms]
(24) 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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(1(1(1(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(1(1(0(1(0(1(1(0(1(1(1(1(1(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(0(1(0(1(0(0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(1(1(1(0(1(0(0(1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(0(0(1(1(0(1(1(1(1(1(0(1(0(1(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(1(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(0(0(0(0(0(0(0(1(0(1(0(0(0(1(0(1(1(0(0(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(0(1(1(0(0(0(1(0(1(0(1(0(1(0(0(1(0(1(1(1(0(1(1(0(1(0(0(0(1(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(1(x_1)) -> 1(encArg(x_1))
   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))
   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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(1(1(1(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(1(1(0(1(0(1(1(0(1(1(1(1(1(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(0(1(0(1(0(0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(1(1(1(0(1(0(0(1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(0(0(1(1(0(1(1(1(1(1(0(1(0(1(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(1(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(0(0(0(0(0(0(0(1(0(1(0(0(0(1(0(1(1(0(0(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(0(1(1(0(0(0(1(0(1(0(1(0(1(0(0(1(0(1(1(1(0(1(1(0(1(0(0(0(1(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

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

   encArg(1(x_1)) -> 1(encArg(x_1))
   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))
   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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0(1(1(1(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(1(1(0(1(0(1(1(0(1(1(1(1(1(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(0(1(0(1(0(0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(1(1(1(0(1(0(0(1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(0(0(1(1(0(1(1(1(1(1(0(1(0(1(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(1(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(0(0(0(0(0(0(0(1(0(1(0(0(0(1(0(1(1(0(0(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(0(1(1(0(0(0(1(0(1(0(1(0(1(0(0(1(0(1(1(1(0(1(1(0(1(0(0(0(1(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

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

   encArg(1(x_1)) -> 1(encArg(x_1))
   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))
   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(1(z0)) -> 1(encArg(z0))
   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))
   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)
   0(1(1(1(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(1(1(0(1(0(1(1(0(1(1(1(1(1(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(0(1(0(1(0(0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(1(1(1(0(1(0(0(1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(0(0(1(1(0(1(1(1(1(1(0(1(0(1(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(1(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(0(0(0(0(0(0(0(1(0(1(0(0(0(1(0(1(1(0(0(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(0(1(1(0(0(0(1(0(1(0(1(0(1(0(0(1(0(1(1(1(0(1(1(0(1(0(0(0(1(0(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(4(5(z0))) -> 4(3(5(z0)))
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Tuples:
   ENCARG(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c7(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
   0'(0(z0)) -> c13(0'(z0))
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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(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(2(2(2(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(2(2(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(2(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(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(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(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))), 2'(2(2(2(2(2(2(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(2(2(2(2(2(2(2(z0))))))))))))))))))), 2'(2(2(2(2(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(2(2(2(2(2(z0))))))))))))))))), 2'(2(2(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(2(2(2(z0))))))))))))))), 2'(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(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))
   3'(4(5(z0))) -> c15(3'(5(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c16(0'(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))), 0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))), 0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))), 0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))), 0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))), 0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))), 0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))), 0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))), 0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))), 0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))), 0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))), 0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))), 0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))), 0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))), 0'(1(1(1(1(1(1(1(1(1(z0)))))))))))
S tuples:
   0'(z0) -> c12
   0'(0(z0)) -> c13(0'(z0))
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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(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(2(2(2(2(2(2(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(2(2(2(2(2(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(2(2(2(2(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(2(2(2(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(2(2(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(2(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(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(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(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))), 2'(2(2(2(2(2(2(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(2(2(2(2(2(2(2(z0))))))))))))))))))), 2'(2(2(2(2(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(2(2(2(2(2(z0))))))))))))))))), 2'(2(2(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(2(2(2(z0))))))))))))))), 2'(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(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))
   3'(4(5(z0))) -> c15(3'(5(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c16(0'(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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K tuples:none
Defined Rule Symbols:   0_1, 3_1, 2_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

Compound Symbols:   c_1, c1_1, c2_1, c3_2, c4_2, c5_2, c6_2, c7_1, c8_2, c9_1, c10_1, c11_2, c12, c13_1, c14_107, c15_1, c16_136


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

(7) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 5 leading nodes:
   ENCODE_1(z0) -> c7(ENCARG(z0))
   ENCODE_4(z0) -> c9(ENCARG(z0))
   ENCODE_5(z0) -> c10(ENCARG(z0))
   0'(0(z0)) -> c13(0'(z0))
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c14(2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(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(2(2(2(2(2(2(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(2(2(2(2(2(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(2(2(2(2(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(2(2(2(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(2(2(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(2(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(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(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(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))), 2'(2(2(2(2(2(2(2(2(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(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))), 2'(2(2(2(2(2(2(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(2(2(2(2(2(2(2(z0))))))))))))))))))), 2'(2(2(2(2(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(2(2(2(2(2(z0))))))))))))))))), 2'(2(2(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(2(2(2(z0))))))))))))))), 2'(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(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(1(z0)) -> 1(encArg(z0))
   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))
   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)
   0(1(1(1(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(1(1(0(1(0(1(1(0(1(1(1(1(1(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(0(1(0(1(0(0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(1(1(1(0(1(0(0(1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(0(0(1(1(0(1(1(1(1(1(0(1(0(1(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(1(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(0(0(0(0(0(0(0(1(0(1(0(0(0(1(0(1(1(0(0(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(0(1(1(0(0(0(1(0(1(0(1(0(1(0(0(1(0(1(1(1(0(1(1(0(1(0(0(0(1(0(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(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))
   0'(z0) -> c12
   3'(4(5(z0))) -> c15(3'(5(z0)))
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c16(0'(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))), 0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))), 0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))), 0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))), 0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))), 0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))), 0'(1(1(1(1(1(1(1(1(1(z0)))))))))))
S tuples:
   0'(z0) -> c12
   3'(4(5(z0))) -> c15(3'(5(z0)))
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0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))), 0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))), 0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))), 0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))), 0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))), 0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))), 0'(1(1(1(1(1(1(1(1(1(z0)))))))))))
K tuples:none
Defined Rule Symbols:   0_1, 3_1, 2_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, 0'_1, 3'_1, 2'_1

Compound Symbols:   c_1, c1_1, c2_1, c3_2, c4_2, c5_2, c6_2, c8_2, c11_2, c12, c15_1, c16_136


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

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

(10)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(1(z0)) -> 1(encArg(z0))
   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))
   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)
   0(1(1(1(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(1(1(0(1(0(1(1(0(1(1(1(1(1(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(0(1(0(1(0(0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(1(1(1(0(1(0(0(1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(0(0(1(1(0(1(1(1(1(1(0(1(0(1(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(1(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(0(0(0(0(0(0(0(1(0(1(0(0(0(1(0(1(1(0(0(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(0(1(1(0(0(0(1(0(1(0(1(0(1(0(0(1(0(1(1(1(0(1(1(0(1(0(0(0(1(0(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(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))
   0'(z0) -> c12
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c16(0'(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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0'(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 0'(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))), 0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))), 0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))), 0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))), 0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))), 0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))), 0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))), 0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))), 0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))), 0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))), 0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))), 0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))), 0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))), 0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))), 0'(1(1(1(1(1(1(1(1(1(z0)))))))))))
   3'(4(5(z0))) -> c15
S tuples:
   0'(z0) -> c12
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c16(0'(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 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0'(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 0'(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 0'(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))), 0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))), 0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))), 0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))), 0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))), 0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))), 0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))), 0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))), 0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))), 0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))), 0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))), 0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))), 0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))), 0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))), 0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))), 0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))), 0'(1(1(1(1(1(1(1(1(1(z0)))))))))))
   3'(4(5(z0))) -> c15
K tuples:none
Defined Rule Symbols:   0_1, 3_1, 2_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, 0'_1, 2'_1, 3'_1

Compound Symbols:   c_1, c1_1, c2_1, c3_2, c4_2, c5_2, c6_2, c8_2, c11_2, c12, c16_136, c15


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

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

(12)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(1(z0)) -> 1(encArg(z0))
   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))
   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)
   0(1(1(1(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(1(1(0(1(0(1(1(0(1(1(1(1(1(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(0(1(0(1(0(0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(1(1(1(0(1(0(0(1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(0(0(1(1(0(1(1(1(1(1(0(1(0(1(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(1(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(0(0(0(0(0(0(0(1(0(1(0(0(0(1(0(1(1(0(0(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(0(1(1(0(0(0(1(0(1(0(1(0(1(0(0(1(0(1(1(1(0(1(1(0(1(0(0(0(1(0(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
   ENCODE_0(z0) -> c7(0'(encArg(z0)))
   ENCODE_0(z0) -> c7(ENCARG(z0))
   ENCODE_3(z0) -> c7(3'(encArg(z0)))
   ENCODE_3(z0) -> c7(ENCARG(z0))
   ENCODE_2(z0) -> c7(2'(encArg(z0)))
   ENCODE_2(z0) -> c7(ENCARG(z0))
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S tuples:
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(1(1(1(1(1(z0)))))))))))
K tuples:none
Defined Rule Symbols:   0_1, 3_1, 2_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_1, c3_2, c4_2, c5_2, c12, c15, c7_1


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

(13) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 3 leading nodes:
   ENCODE_0(z0) -> c7(ENCARG(z0))
   ENCODE_3(z0) -> c7(ENCARG(z0))
   ENCODE_2(z0) -> c7(ENCARG(z0))

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

(14)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(1(z0)) -> 1(encArg(z0))
   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))
   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)
   0(1(1(1(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(1(1(0(1(0(1(1(0(1(1(1(1(1(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(0(1(0(1(0(0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(1(1(1(0(1(0(0(1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(0(0(1(1(0(1(1(1(1(1(0(1(0(1(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(1(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(0(0(0(0(0(0(0(1(0(1(0(0(0(1(0(1(1(0(0(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(0(1(1(0(0(0(1(0(1(0(1(0(1(0(0(1(0(1(1(1(0(1(1(0(1(0(0(0(1(0(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   3(4(5(z0))) -> 4(3(5(z0)))
   2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
   ENCODE_0(z0) -> c7(0'(encArg(z0)))
   ENCODE_3(z0) -> c7(3'(encArg(z0)))
   ENCODE_2(z0) -> c7(2'(encArg(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(1(1(1(1(1(z0)))))))))))
S tuples:
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(1(1(1(1(1(z0)))))))))))
K tuples:none
Defined Rule Symbols:   0_1, 3_1, 2_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_1, c3_2, c4_2, c5_2, c12, c15, c7_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)
   0(1(1(1(1(0(0(1(0(1(0(0(1(0(0(1(0(1(1(1(1(0(1(0(1(1(0(1(1(1(1(1(0(0(1(1(1(1(1(1(1(1(1(0(0(0(0(0(1(0(1(0(0(0(0(0(1(1(1(1(0(0(1(0(0(0(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(1(1(1(0(1(0(0(1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(0(0(1(1(0(1(1(1(1(1(0(1(0(1(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(1(0(1(1(1(0(1(1(0(0(1(1(0(1(0(0(0(0(0(1(0(1(1(0(0(0(0(0(0(0(0(0(0(0(0(0(0(1(0(1(0(0(0(1(0(1(1(0(0(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(0(1(1(0(0(0(1(0(1(0(1(0(1(0(0(1(0(1(1(1(0(1(1(0(1(0(0(0(1(0(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

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

(16)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(1(z0)) -> 1(encArg(z0))
   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))
   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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
   ENCODE_0(z0) -> c7(0'(encArg(z0)))
   ENCODE_3(z0) -> c7(3'(encArg(z0)))
   ENCODE_2(z0) -> c7(2'(encArg(z0)))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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S tuples:
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(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_1, c3_2, c4_2, c5_2, c12, c15, c7_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))) -> c15
We considered the (Usable) Rules:none
And the Tuples:
   ENCARG(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
   ENCODE_0(z0) -> c7(0'(encArg(z0)))
   ENCODE_3(z0) -> c7(3'(encArg(z0)))
   ENCODE_2(z0) -> c7(2'(encArg(z0)))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(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] + x_1
   POL(2(x_1)) = [1]
   POL(2'(x_1)) = 0
   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)) = 0
   POL(ENCODE_3(x_1)) = [1]
   POL(c(x_1)) = x_1
   POL(c1(x_1)) = x_1
   POL(c12) = 0
   POL(c15) = 0
   POL(c2(x_1)) = x_1
   POL(c3(x_1, x_2)) = x_1 + x_2
   POL(c4(x_1, x_2)) = x_1 + x_2
   POL(c5(x_1, x_2)) = x_1 + x_2
   POL(c7(x_1)) = x_1
   POL(cons_0(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(1(z0)) -> 1(encArg(z0))
   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))
   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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
   ENCODE_0(z0) -> c7(0'(encArg(z0)))
   ENCODE_3(z0) -> c7(3'(encArg(z0)))
   ENCODE_2(z0) -> c7(2'(encArg(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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S tuples:
   0'(z0) -> c12
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(1(1(1(1(1(z0)))))))))))
K tuples:
   3'(4(5(z0))) -> c15
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_1, c3_2, c4_2, c5_2, c12, c15, c7_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.
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(1(1(1(1(1(z0)))))))))))
We considered the (Usable) Rules:none
And the Tuples:
   ENCARG(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
   ENCODE_0(z0) -> c7(0'(encArg(z0)))
   ENCODE_3(z0) -> c7(3'(encArg(z0)))
   ENCODE_2(z0) -> c7(2'(encArg(z0)))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(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] + x_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] + x_1
   POL(c(x_1)) = x_1
   POL(c1(x_1)) = x_1
   POL(c12) = 0
   POL(c15) = 0
   POL(c2(x_1)) = x_1
   POL(c3(x_1, x_2)) = x_1 + x_2
   POL(c4(x_1, x_2)) = x_1 + x_2
   POL(c5(x_1, x_2)) = x_1 + x_2
   POL(c7(x_1)) = x_1
   POL(cons_0(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(1(z0)) -> 1(encArg(z0))
   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))
   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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
   ENCODE_0(z0) -> c7(0'(encArg(z0)))
   ENCODE_3(z0) -> c7(3'(encArg(z0)))
   ENCODE_2(z0) -> c7(2'(encArg(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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S tuples:
   0'(z0) -> c12
K tuples:
   3'(4(5(z0))) -> c15
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(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_1, c3_2, c4_2, c5_2, c12, c15, c7_1


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

(21) 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(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
   ENCODE_0(z0) -> c7(0'(encArg(z0)))
   ENCODE_3(z0) -> c7(3'(encArg(z0)))
   ENCODE_2(z0) -> c7(2'(encArg(z0)))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
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   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(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] + x_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] + x_1
   POL(ENCODE_2(x_1)) = [1] + x_1
   POL(ENCODE_3(x_1)) = [1]
   POL(c(x_1)) = x_1
   POL(c1(x_1)) = x_1
   POL(c12) = 0
   POL(c15) = 0
   POL(c2(x_1)) = x_1
   POL(c3(x_1, x_2)) = x_1 + x_2
   POL(c4(x_1, x_2)) = x_1 + x_2
   POL(c5(x_1, x_2)) = x_1 + x_2
   POL(c7(x_1)) = x_1
   POL(cons_0(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

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

(22)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(1(z0)) -> 1(encArg(z0))
   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))
   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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(1(z0)) -> c(ENCARG(z0))
   ENCARG(4(z0)) -> c1(ENCARG(z0))
   ENCARG(5(z0)) -> c2(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_3(z0)) -> c4(3'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c12
   3'(4(5(z0))) -> c15
   ENCODE_0(z0) -> c7(0'(encArg(z0)))
   ENCODE_3(z0) -> c7(3'(encArg(z0)))
   ENCODE_2(z0) -> c7(2'(encArg(z0)))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(0(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(1(1(1(1(0(1(0(0(0(1(1(0(0(0(0(1(1(0(1(0(1(1(0(1(0(0(1(0(0(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(1(1(1(0(0(1(1(1(1(0(0(0(1(1(0(1(0(0(0(0(1(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(1(1(1(0(1(0(1(0(0(0(1(1(1(1(1(0(0(0(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(0(0(0(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(0(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(0(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(0(1(1(1(1(1(1(1(1(1(z0))))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(0(1(1(1(1(1(1(1(1(1(z0)))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(0(1(1(1(1(1(1(1(1(1(z0))))))))))))
   2'(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(1(1(1(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_1, c3_2, c4_2, c5_2, c12, c15, c7_1


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(23) SIsEmptyProof (BOTH BOUNDS(ID, ID))
The set S is empty
----------------------------------------

(24)
BOUNDS(1, 1)