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


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


KILLED
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 53 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 3 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 4 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 1368 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 39 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 15 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 36 ms]
            (28) CpxRNTS
        (29) CompletionProof [UPPER BOUND(ID), 15 ms]
        (30) CpxTypedWeightedCompleteTrs
            (31) NarrowingProof [BOTH BOUNDS(ID, ID), 1887 ms]
            (32) CpxTypedWeightedCompleteTrs
            (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 213 ms]
            (34) CpxRNTS
            (35) SimplificationProof [BOTH BOUNDS(ID, ID), 114 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 856 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 10 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 6 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 6114 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1785 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1875 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1829 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1822 ms]
        (54) CdtProblem


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

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


The TRS R consists of the following rules:

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

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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))


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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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))

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

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

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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))

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

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

(6)
Obligation:
Analyzing the following TRS for decreasing loops:

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


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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))

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

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

(8)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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))

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

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

(10)
Obligation:
TRS:
Rules:
0(1(0(2(3(4(x1)))))) -> 0(1(0(3(2(4(x1))))))
1(0(3(5(4(1(x1)))))) -> 1(1(3(0(5(4(x1))))))
3(0(0(1(5(1(5(x1))))))) -> 3(0(0(5(1(1(5(x1)))))))
5(5(1(3(0(4(5(x1))))))) -> 5(5(3(1(0(4(5(x1)))))))
2(4(3(2(0(1(5(2(x1)))))))) -> 2(4(2(3(1(0(5(2(x1))))))))
3(0(2(3(3(5(4(5(1(4(x1)))))))))) -> 3(0(3(2(3(5(4(5(1(4(x1))))))))))
4(3(5(5(1(4(4(0(0(3(x1)))))))))) -> 4(3(5(5(1(4(0(4(0(3(x1))))))))))
5(5(4(1(2(3(5(3(5(3(x1)))))))))) -> 5(5(1(4(5(2(3(3(5(3(x1))))))))))
0(1(4(0(4(2(3(4(4(1(3(x1))))))))))) -> 3(1(5(3(2(2(1(1(5(0(x1))))))))))
0(2(1(3(2(0(5(4(2(0(5(x1))))))))))) -> 2(2(1(1(3(1(4(5(4(0(x1))))))))))
0(2(1(3(4(3(5(4(3(5(5(x1))))))))))) -> 1(0(0(1(1(4(1(4(1(3(x1))))))))))
0(2(3(4(1(4(0(2(3(1(0(x1))))))))))) -> 3(1(0(2(2(1(4(1(5(1(x1))))))))))
0(3(3(0(0(2(0(5(2(4(2(x1))))))))))) -> 5(4(5(0(3(0(3(0(5(0(x1))))))))))
0(3(3(2(2(2(0(2(4(0(1(x1))))))))))) -> 5(4(3(1(5(0(0(0(4(2(x1))))))))))
0(5(0(0(2(4(4(1(5(0(3(x1))))))))))) -> 1(4(3(4(3(3(2(4(3(3(x1))))))))))
0(5(0(4(1(3(4(4(3(3(3(x1))))))))))) -> 0(0(3(0(3(4(0(4(4(4(x1))))))))))
0(5(0(4(3(2(3(2(4(3(3(x1))))))))))) -> 3(5(0(0(5(5(1(5(0(0(x1))))))))))
1(0(0(5(4(2(5(2(0(2(0(x1))))))))))) -> 3(0(0(5(4(5(5(4(4(2(x1))))))))))
1(2(0(3(0(0(4(4(4(1(5(x1))))))))))) -> 1(0(0(2(4(4(0(4(2(3(x1))))))))))
1(3(1(3(1(2(1(0(1(0(1(x1))))))))))) -> 1(2(0(2(4(5(0(1(5(2(x1))))))))))
1(4(1(4(0(1(0(1(5(4(1(x1))))))))))) -> 3(0(3(2(2(0(1(3(0(2(x1))))))))))
1(4(4(2(1(2(2(3(2(5(5(x1))))))))))) -> 1(1(1(5(1(0(1(5(4(2(x1))))))))))
1(5(3(5(1(1(4(4(3(0(2(x1))))))))))) -> 0(5(0(0(0(0(2(0(1(3(x1))))))))))
2(0(2(1(1(2(4(4(1(2(4(x1))))))))))) -> 5(5(3(1(0(5(5(5(3(0(x1))))))))))
2(0(3(1(3(1(5(0(5(1(5(x1))))))))))) -> 5(3(1(3(5(2(4(0(4(4(x1))))))))))
2(0(5(2(1(1(3(1(3(4(1(x1))))))))))) -> 2(3(1(3(1(4(0(3(1(3(x1))))))))))
2(2(1(2(0(0(1(1(0(2(4(x1))))))))))) -> 0(1(5(1(5(0(2(5(4(0(x1))))))))))
2(3(2(0(2(4(1(3(5(4(3(x1))))))))))) -> 1(0(3(5(2(0(5(4(3(3(x1))))))))))
2(5(1(3(0(4(1(2(2(1(1(x1))))))))))) -> 0(3(3(3(3(5(1(1(1(0(x1))))))))))
2(5(3(2(0(3(2(2(2(4(5(x1))))))))))) -> 3(1(3(0(2(0(4(2(0(4(x1))))))))))
2(5(3(3(0(4(5(2(0(3(0(x1))))))))))) -> 2(5(3(3(4(0(5(2(0(3(0(x1)))))))))))
2(5(5(3(1(5(0(2(2(3(3(x1))))))))))) -> 4(3(4(1(1(0(0(5(0(2(x1))))))))))
3(0(0(3(4(3(0(3(1(4(0(x1))))))))))) -> 2(4(3(4(0(0(3(1(0(4(x1))))))))))
3(0(5(5(2(5(3(2(3(2(4(x1))))))))))) -> 2(3(3(0(0(5(0(0(0(4(x1))))))))))
3(1(0(1(1(2(4(4(5(1(0(x1))))))))))) -> 0(2(1(1(5(3(0(0(0(1(x1))))))))))
3(2(0(0(3(0(2(0(2(1(3(x1))))))))))) -> 0(2(3(1(3(1(1(2(5(5(x1))))))))))
3(3(2(3(5(0(1(5(5(2(4(x1))))))))))) -> 3(0(1(5(4(4(0(5(2(5(x1))))))))))
3(3(4(2(5(0(0(5(3(3(2(x1))))))))))) -> 4(3(1(1(2(1(0(2(2(3(x1))))))))))
3(3(5(0(1(2(1(0(4(3(0(x1))))))))))) -> 2(3(1(5(2(5(0(0(3(1(x1))))))))))
3(4(0(0(4(5(1(0(1(0(3(x1))))))))))) -> 1(5(0(0(1(4(3(4(4(1(x1))))))))))
3(4(2(0(4(3(2(1(0(5(2(x1))))))))))) -> 1(0(3(3(2(0(2(3(1(3(x1))))))))))
3(4(2(3(2(4(2(5(2(0(4(x1))))))))))) -> 2(5(5(2(4(4(2(4(1(3(x1))))))))))
3(5(4(1(0(1(0(3(0(3(3(x1))))))))))) -> 5(1(4(3(0(4(3(0(5(2(x1))))))))))
4(0(5(2(1(3(1(4(1(2(5(x1))))))))))) -> 3(1(4(2(1(2(2(2(5(2(x1))))))))))
4(1(3(0(1(0(4(3(3(1(1(x1))))))))))) -> 4(2(3(4(0(3(3(2(5(0(x1))))))))))
4(1(5(4(4(0(2(0(0(0(4(x1))))))))))) -> 0(3(3(2(4(2(1(3(3(5(x1))))))))))
4(2(1(5(1(5(1(3(5(0(2(x1))))))))))) -> 1(3(5(3(2(5(2(0(4(4(x1))))))))))
4(3(1(4(3(0(5(5(4(1(5(x1))))))))))) -> 2(0(0(0(3(3(1(2(5(4(x1))))))))))
4(3(1(5(3(0(3(5(3(4(3(x1))))))))))) -> 1(4(1(5(3(2(5(5(2(4(x1))))))))))
4(3(2(4(5(2(3(3(1(4(0(x1))))))))))) -> 4(3(2(1(4(0(2(4(2(1(x1))))))))))
4(3(2(5(3(1(4(0(3(5(2(x1))))))))))) -> 0(3(1(2(3(5(1(0(2(3(x1))))))))))
4(5(4(1(3(3(3(2(2(3(0(x1))))))))))) -> 3(5(3(4(0(3(5(2(4(0(x1))))))))))
5(2(5(2(5(5(4(0(0(0(0(x1))))))))))) -> 3(0(1(1(1(3(1(3(0(4(x1))))))))))
5(4(0(0(4(5(5(2(3(5(2(x1))))))))))) -> 1(0(3(5(3(5(0(1(1(5(x1))))))))))
5(4(0(5(1(1(5(0(4(1(3(x1))))))))))) -> 2(1(4(2(0(3(2(1(3(0(x1))))))))))
5(4(5(1(0(3(1(0(5(3(5(x1))))))))))) -> 3(5(5(1(1(3(3(4(0(4(x1))))))))))
5(4(5(2(1(3(3(0(5(2(3(x1))))))))))) -> 2(0(1(2(2(2(2(0(2(0(x1))))))))))
1(3(2(3(3(5(1(1(0(4(4(5(x1)))))))))))) -> 5(2(0(4(5(1(3(5(5(0(x1))))))))))
3(2(5(1(5(4(2(4(5(0(5(5(x1)))))))))))) -> 0(2(5(1(0(0(5(1(5(1(x1))))))))))
3(5(4(2(4(1(5(1(5(5(2(1(x1)))))))))))) -> 2(5(5(3(1(2(4(1(5(1(5(4(x1))))))))))))
4(4(5(3(3(2(3(1(3(3(0(1(5(2(x1)))))))))))))) -> 4(4(5(3(3(2(3(1(3(0(3(1(5(2(x1))))))))))))))
1(1(0(2(1(3(1(1(5(1(0(2(5(4(4(x1))))))))))))))) -> 1(1(0(1(2(3(1(1(5(1(0(2(5(4(4(x1)))))))))))))))
2(3(0(3(3(3(3(2(5(5(4(0(0(3(5(x1))))))))))))))) -> 2(3(0(3(3(3(3(5(2(5(4(0(3(0(5(x1)))))))))))))))
2(3(4(5(5(4(5(0(0(0(5(4(4(2(0(x1))))))))))))))) -> 2(3(4(5(5(4(0(5(0(0(5(2(4(4(0(x1)))))))))))))))
4(0(1(2(0(4(3(2(3(2(0(4(0(5(0(4(3(x1))))))))))))))))) -> 4(0(1(2(0(4(3(2(2(3(0(4(0(5(0(4(3(x1)))))))))))))))))
5(4(5(3(4(0(0(1(2(0(0(4(0(0(3(5(3(x1))))))))))))))))) -> 5(4(5(3(4(0(0(1(2(0(0(4(0(3(0(5(3(x1)))))))))))))))))
1(5(2(1(1(2(4(0(0(5(5(0(4(2(4(5(0(2(1(x1))))))))))))))))))) -> 1(5(2(1(1(2(4(0(0(5(5(0(4(2(5(4(0(2(1(x1)))))))))))))))))))
3(1(0(4(3(1(4(2(0(4(5(4(2(0(0(1(0(2(0(x1))))))))))))))))))) -> 3(1(0(4(3(1(2(4(0(4(5(4(2(0(0(1(0(2(0(x1)))))))))))))))))))
3(3(2(0(2(2(0(0(5(5(5(4(2(0(1(3(4(5(5(x1))))))))))))))))))) -> 3(3(2(0(2(2(0(0(5(5(4(5(2(0(1(3(4(5(5(x1)))))))))))))))))))
3(4(1(4(5(1(3(0(3(5(0(0(5(5(0(4(4(0(2(1(x1)))))))))))))))))))) -> 3(4(1(4(5(1(3(0(5(3(0(0(5(5(4(0(4(0(2(1(x1))))))))))))))))))))
3(2(5(0(2(1(0(5(4(4(3(5(4(2(1(1(1(4(1(5(3(x1))))))))))))))))))))) -> 3(2(0(5(2(1(0(5(4(4(3(5(4(2(1(1(1(4(1(5(3(x1)))))))))))))))))))))
4(2(3(5(4(2(4(1(3(2(0(1(5(0(3(5(3(1(2(5(5(x1))))))))))))))))))))) -> 4(2(3(5(4(2(4(3(1(2(0(1(5(0(3(5(3(1(2(5(5(x1)))))))))))))))))))))
0(4(5(5(4(4(5(3(4(2(1(0(1(5(0(2(1(3(4(2(4(1(x1)))))))))))))))))))))) -> 0(4(5(4(5(4(5(3(4(2(1(0(1(5(0(2(1(3(4(2(1(4(x1))))))))))))))))))))))
2(3(4(4(3(0(1(2(3(4(4(4(2(3(1(0(1(0(1(3(1(3(3(x1))))))))))))))))))))))) -> 3(1(4(4(2(4(3(0(3(2(4(2(4(1(0(0(3(1(1(3(1(3(3(x1)))))))))))))))))))))))
4(1(1(2(4(4(2(0(0(2(2(0(1(4(0(0(3(0(4(4(2(3(3(x1))))))))))))))))))))))) -> 4(1(1(2(4(4(2(0(0(2(0(2(1(4(0(0(3(0(4(4(2(3(3(x1)))))))))))))))))))))))
4(3(3(0(2(4(2(3(4(3(5(2(4(2(2(0(0(3(0(0(0(2(5(2(x1)))))))))))))))))))))))) -> 4(3(0(3(2(4(2(3(4(3(5(2(4(2(2(0(0(3(0(0(0(2(5(2(x1))))))))))))))))))))))))
5(0(1(3(4(2(4(5(5(1(2(3(1(1(0(4(1(5(1(5(4(2(4(2(x1)))))))))))))))))))))))) -> 5(0(3(1(4(2(4(5(5(1(2(3(1(1(0(4(1(5(1(5(4(2(4(2(x1))))))))))))))))))))))))
5(3(1(2(4(4(3(2(4(3(5(0(0(0(5(4(4(5(4(4(4(3(4(0(x1)))))))))))))))))))))))) -> 5(3(1(2(4(4(3(2(5(4(3(0(0(0(5(4(4(5(4(4(4(4(3(0(x1))))))))))))))))))))))))
4(3(5(5(3(4(4(5(3(0(0(4(5(2(0(2(5(3(1(3(1(5(0(0(4(x1))))))))))))))))))))))))) -> 4(3(5(5(3(4(4(5(3(0(0(4(2(5(0(2(5(3(1(3(1(5(0(0(4(x1)))))))))))))))))))))))))
5(1(1(1(1(4(1(1(2(0(5(5(5(5(1(5(1(0(1(3(2(2(3(0(2(x1))))))))))))))))))))))))) -> 5(1(1(1(1(4(1(1(2(5(0(5(5(5(1(5(1(0(1(3(2(2(3(0(2(x1)))))))))))))))))))))))))
1(4(0(4(0(2(4(1(3(5(2(0(1(2(5(0(1(1(3(4(5(5(4(3(0(0(x1)))))))))))))))))))))))))) -> 1(4(0(4(0(2(4(1(3(5(2(0(1(2(5(0(1(1(3(4(5(5(3(4(0(0(x1))))))))))))))))))))))))))
1(5(2(3(4(1(2(5(4(4(2(1(5(0(0(0(3(3(4(3(2(5(0(5(0(3(x1)))))))))))))))))))))))))) -> 1(5(2(3(4(1(2(5(4(4(2(1(5(0(0(3(0(3(4(3(2(5(0(5(0(3(x1))))))))))))))))))))))))))
0(5(5(0(4(5(0(1(0(0(4(2(0(2(1(2(1(2(0(2(3(1(1(3(1(2(1(x1))))))))))))))))))))))))))) -> 5(4(0(5(0(5(0(0(1(0(2(2(2(1(4(0(3(2(1(1(0(2(2(3(1(1(1(x1)))))))))))))))))))))))))))
4(4(0(2(0(1(1(2(2(2(5(2(2(3(2(0(2(0(4(3(3(0(3(5(0(5(1(x1))))))))))))))))))))))))))) -> 4(4(0(2(0(1(1(2(2(2(5(2(2(3(2(0(2(4(0(3(3(0(3(5(0(5(1(x1)))))))))))))))))))))))))))
2(1(4(1(2(2(0(5(1(2(5(1(2(1(1(4(5(5(3(5(3(1(2(1(1(0(3(1(x1)))))))))))))))))))))))))))) -> 2(1(4(1(2(2(0(5(1(2(5(2(1(1(1(4(5(5(3(5(3(1(2(1(1(0(3(1(x1))))))))))))))))))))))))))))
3(1(0(3(0(2(4(1(2(1(4(1(0(2(4(2(4(2(3(2(5(0(3(2(4(2(0(5(x1)))))))))))))))))))))))))))) -> 3(1(0(0(3(2(4(1(2(1(4(1(0(2(4(2(4(2(3(2(5(0(3(2(4(2(0(5(x1))))))))))))))))))))))))))))
1(3(0(3(3(3(0(1(4(0(1(0(3(4(0(1(0(4(2(1(1(4(0(5(2(1(4(5(0(x1))))))))))))))))))))))))))))) -> 1(3(0(3(3(3(0(4(1(0(1(0(3(4(0(1(0(4(2(1(1(4(0(5(2(1(4(5(0(x1)))))))))))))))))))))))))))))
3(1(3(4(2(5(3(1(0(0(5(1(5(4(5(3(2(2(5(4(4(0(4(2(0(5(0(0(5(x1))))))))))))))))))))))))))))) -> 3(1(3(4(2(5(3(1(0(0(5(1(5(4(5(2(3(2(5(4(4(0(4(2(0(5(0(0(5(x1)))))))))))))))))))))))))))))
4(0(4(1(0(1(4(5(0(0(4(5(4(1(5(0(0(2(4(5(0(3(1(4(4(1(4(0(0(x1))))))))))))))))))))))))))))) -> 4(0(4(1(0(1(5(4(0(0(4(5(4(1(5(0(0(2(4(5(0(3(1(4(4(1(4(0(0(x1)))))))))))))))))))))))))))))
3(1(2(5(2(0(3(3(1(5(1(5(2(1(5(3(3(0(3(4(4(2(2(4(1(0(3(0(0(5(x1)))))))))))))))))))))))))))))) -> 3(1(2(5(2(3(0(3(1(5(1(5(2(1(5(3(3(0(3(4(4(2(2(4(1(0(3(0(0(5(x1))))))))))))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encArg(cons_5(x_1)) -> 5(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_4(x_1)) -> 4(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(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))

Types:
0 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
1 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
2 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
3 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
4 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
5 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encArg :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
cons_0 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_1 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_3 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_5 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_2 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_4 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
encode_0 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_1 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_2 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_3 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_4 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_5 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
hole_4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_51_6 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
hole_cons_0:cons_1:cons_3:cons_5:cons_2:cons_42_6 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
gen_cons_0:cons_1:cons_3:cons_5:cons_2:cons_43_6 :: Nat -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4

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

(11) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
0, 1, 3, 2, 4, 5, encArg

They will be analysed ascendingly in the following order:
0 = 1
0 = 3
0 = 2
0 = 4
0 = 5
0 < encArg
1 = 3
1 = 2
1 = 4
1 = 5
1 < encArg
3 = 2
3 = 4
3 = 5
3 < encArg
2 = 4
2 = 5
2 < encArg
4 = 5
4 < encArg
5 < encArg

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

(12)
Obligation:
TRS:
Rules:
0(1(0(2(3(4(x1)))))) -> 0(1(0(3(2(4(x1))))))
1(0(3(5(4(1(x1)))))) -> 1(1(3(0(5(4(x1))))))
3(0(0(1(5(1(5(x1))))))) -> 3(0(0(5(1(1(5(x1)))))))
5(5(1(3(0(4(5(x1))))))) -> 5(5(3(1(0(4(5(x1)))))))
2(4(3(2(0(1(5(2(x1)))))))) -> 2(4(2(3(1(0(5(2(x1))))))))
3(0(2(3(3(5(4(5(1(4(x1)))))))))) -> 3(0(3(2(3(5(4(5(1(4(x1))))))))))
4(3(5(5(1(4(4(0(0(3(x1)))))))))) -> 4(3(5(5(1(4(0(4(0(3(x1))))))))))
5(5(4(1(2(3(5(3(5(3(x1)))))))))) -> 5(5(1(4(5(2(3(3(5(3(x1))))))))))
0(1(4(0(4(2(3(4(4(1(3(x1))))))))))) -> 3(1(5(3(2(2(1(1(5(0(x1))))))))))
0(2(1(3(2(0(5(4(2(0(5(x1))))))))))) -> 2(2(1(1(3(1(4(5(4(0(x1))))))))))
0(2(1(3(4(3(5(4(3(5(5(x1))))))))))) -> 1(0(0(1(1(4(1(4(1(3(x1))))))))))
0(2(3(4(1(4(0(2(3(1(0(x1))))))))))) -> 3(1(0(2(2(1(4(1(5(1(x1))))))))))
0(3(3(0(0(2(0(5(2(4(2(x1))))))))))) -> 5(4(5(0(3(0(3(0(5(0(x1))))))))))
0(3(3(2(2(2(0(2(4(0(1(x1))))))))))) -> 5(4(3(1(5(0(0(0(4(2(x1))))))))))
0(5(0(0(2(4(4(1(5(0(3(x1))))))))))) -> 1(4(3(4(3(3(2(4(3(3(x1))))))))))
0(5(0(4(1(3(4(4(3(3(3(x1))))))))))) -> 0(0(3(0(3(4(0(4(4(4(x1))))))))))
0(5(0(4(3(2(3(2(4(3(3(x1))))))))))) -> 3(5(0(0(5(5(1(5(0(0(x1))))))))))
1(0(0(5(4(2(5(2(0(2(0(x1))))))))))) -> 3(0(0(5(4(5(5(4(4(2(x1))))))))))
1(2(0(3(0(0(4(4(4(1(5(x1))))))))))) -> 1(0(0(2(4(4(0(4(2(3(x1))))))))))
1(3(1(3(1(2(1(0(1(0(1(x1))))))))))) -> 1(2(0(2(4(5(0(1(5(2(x1))))))))))
1(4(1(4(0(1(0(1(5(4(1(x1))))))))))) -> 3(0(3(2(2(0(1(3(0(2(x1))))))))))
1(4(4(2(1(2(2(3(2(5(5(x1))))))))))) -> 1(1(1(5(1(0(1(5(4(2(x1))))))))))
1(5(3(5(1(1(4(4(3(0(2(x1))))))))))) -> 0(5(0(0(0(0(2(0(1(3(x1))))))))))
2(0(2(1(1(2(4(4(1(2(4(x1))))))))))) -> 5(5(3(1(0(5(5(5(3(0(x1))))))))))
2(0(3(1(3(1(5(0(5(1(5(x1))))))))))) -> 5(3(1(3(5(2(4(0(4(4(x1))))))))))
2(0(5(2(1(1(3(1(3(4(1(x1))))))))))) -> 2(3(1(3(1(4(0(3(1(3(x1))))))))))
2(2(1(2(0(0(1(1(0(2(4(x1))))))))))) -> 0(1(5(1(5(0(2(5(4(0(x1))))))))))
2(3(2(0(2(4(1(3(5(4(3(x1))))))))))) -> 1(0(3(5(2(0(5(4(3(3(x1))))))))))
2(5(1(3(0(4(1(2(2(1(1(x1))))))))))) -> 0(3(3(3(3(5(1(1(1(0(x1))))))))))
2(5(3(2(0(3(2(2(2(4(5(x1))))))))))) -> 3(1(3(0(2(0(4(2(0(4(x1))))))))))
2(5(3(3(0(4(5(2(0(3(0(x1))))))))))) -> 2(5(3(3(4(0(5(2(0(3(0(x1)))))))))))
2(5(5(3(1(5(0(2(2(3(3(x1))))))))))) -> 4(3(4(1(1(0(0(5(0(2(x1))))))))))
3(0(0(3(4(3(0(3(1(4(0(x1))))))))))) -> 2(4(3(4(0(0(3(1(0(4(x1))))))))))
3(0(5(5(2(5(3(2(3(2(4(x1))))))))))) -> 2(3(3(0(0(5(0(0(0(4(x1))))))))))
3(1(0(1(1(2(4(4(5(1(0(x1))))))))))) -> 0(2(1(1(5(3(0(0(0(1(x1))))))))))
3(2(0(0(3(0(2(0(2(1(3(x1))))))))))) -> 0(2(3(1(3(1(1(2(5(5(x1))))))))))
3(3(2(3(5(0(1(5(5(2(4(x1))))))))))) -> 3(0(1(5(4(4(0(5(2(5(x1))))))))))
3(3(4(2(5(0(0(5(3(3(2(x1))))))))))) -> 4(3(1(1(2(1(0(2(2(3(x1))))))))))
3(3(5(0(1(2(1(0(4(3(0(x1))))))))))) -> 2(3(1(5(2(5(0(0(3(1(x1))))))))))
3(4(0(0(4(5(1(0(1(0(3(x1))))))))))) -> 1(5(0(0(1(4(3(4(4(1(x1))))))))))
3(4(2(0(4(3(2(1(0(5(2(x1))))))))))) -> 1(0(3(3(2(0(2(3(1(3(x1))))))))))
3(4(2(3(2(4(2(5(2(0(4(x1))))))))))) -> 2(5(5(2(4(4(2(4(1(3(x1))))))))))
3(5(4(1(0(1(0(3(0(3(3(x1))))))))))) -> 5(1(4(3(0(4(3(0(5(2(x1))))))))))
4(0(5(2(1(3(1(4(1(2(5(x1))))))))))) -> 3(1(4(2(1(2(2(2(5(2(x1))))))))))
4(1(3(0(1(0(4(3(3(1(1(x1))))))))))) -> 4(2(3(4(0(3(3(2(5(0(x1))))))))))
4(1(5(4(4(0(2(0(0(0(4(x1))))))))))) -> 0(3(3(2(4(2(1(3(3(5(x1))))))))))
4(2(1(5(1(5(1(3(5(0(2(x1))))))))))) -> 1(3(5(3(2(5(2(0(4(4(x1))))))))))
4(3(1(4(3(0(5(5(4(1(5(x1))))))))))) -> 2(0(0(0(3(3(1(2(5(4(x1))))))))))
4(3(1(5(3(0(3(5(3(4(3(x1))))))))))) -> 1(4(1(5(3(2(5(5(2(4(x1))))))))))
4(3(2(4(5(2(3(3(1(4(0(x1))))))))))) -> 4(3(2(1(4(0(2(4(2(1(x1))))))))))
4(3(2(5(3(1(4(0(3(5(2(x1))))))))))) -> 0(3(1(2(3(5(1(0(2(3(x1))))))))))
4(5(4(1(3(3(3(2(2(3(0(x1))))))))))) -> 3(5(3(4(0(3(5(2(4(0(x1))))))))))
5(2(5(2(5(5(4(0(0(0(0(x1))))))))))) -> 3(0(1(1(1(3(1(3(0(4(x1))))))))))
5(4(0(0(4(5(5(2(3(5(2(x1))))))))))) -> 1(0(3(5(3(5(0(1(1(5(x1))))))))))
5(4(0(5(1(1(5(0(4(1(3(x1))))))))))) -> 2(1(4(2(0(3(2(1(3(0(x1))))))))))
5(4(5(1(0(3(1(0(5(3(5(x1))))))))))) -> 3(5(5(1(1(3(3(4(0(4(x1))))))))))
5(4(5(2(1(3(3(0(5(2(3(x1))))))))))) -> 2(0(1(2(2(2(2(0(2(0(x1))))))))))
1(3(2(3(3(5(1(1(0(4(4(5(x1)))))))))))) -> 5(2(0(4(5(1(3(5(5(0(x1))))))))))
3(2(5(1(5(4(2(4(5(0(5(5(x1)))))))))))) -> 0(2(5(1(0(0(5(1(5(1(x1))))))))))
3(5(4(2(4(1(5(1(5(5(2(1(x1)))))))))))) -> 2(5(5(3(1(2(4(1(5(1(5(4(x1))))))))))))
4(4(5(3(3(2(3(1(3(3(0(1(5(2(x1)))))))))))))) -> 4(4(5(3(3(2(3(1(3(0(3(1(5(2(x1))))))))))))))
1(1(0(2(1(3(1(1(5(1(0(2(5(4(4(x1))))))))))))))) -> 1(1(0(1(2(3(1(1(5(1(0(2(5(4(4(x1)))))))))))))))
2(3(0(3(3(3(3(2(5(5(4(0(0(3(5(x1))))))))))))))) -> 2(3(0(3(3(3(3(5(2(5(4(0(3(0(5(x1)))))))))))))))
2(3(4(5(5(4(5(0(0(0(5(4(4(2(0(x1))))))))))))))) -> 2(3(4(5(5(4(0(5(0(0(5(2(4(4(0(x1)))))))))))))))
4(0(1(2(0(4(3(2(3(2(0(4(0(5(0(4(3(x1))))))))))))))))) -> 4(0(1(2(0(4(3(2(2(3(0(4(0(5(0(4(3(x1)))))))))))))))))
5(4(5(3(4(0(0(1(2(0(0(4(0(0(3(5(3(x1))))))))))))))))) -> 5(4(5(3(4(0(0(1(2(0(0(4(0(3(0(5(3(x1)))))))))))))))))
1(5(2(1(1(2(4(0(0(5(5(0(4(2(4(5(0(2(1(x1))))))))))))))))))) -> 1(5(2(1(1(2(4(0(0(5(5(0(4(2(5(4(0(2(1(x1)))))))))))))))))))
3(1(0(4(3(1(4(2(0(4(5(4(2(0(0(1(0(2(0(x1))))))))))))))))))) -> 3(1(0(4(3(1(2(4(0(4(5(4(2(0(0(1(0(2(0(x1)))))))))))))))))))
3(3(2(0(2(2(0(0(5(5(5(4(2(0(1(3(4(5(5(x1))))))))))))))))))) -> 3(3(2(0(2(2(0(0(5(5(4(5(2(0(1(3(4(5(5(x1)))))))))))))))))))
3(4(1(4(5(1(3(0(3(5(0(0(5(5(0(4(4(0(2(1(x1)))))))))))))))))))) -> 3(4(1(4(5(1(3(0(5(3(0(0(5(5(4(0(4(0(2(1(x1))))))))))))))))))))
3(2(5(0(2(1(0(5(4(4(3(5(4(2(1(1(1(4(1(5(3(x1))))))))))))))))))))) -> 3(2(0(5(2(1(0(5(4(4(3(5(4(2(1(1(1(4(1(5(3(x1)))))))))))))))))))))
4(2(3(5(4(2(4(1(3(2(0(1(5(0(3(5(3(1(2(5(5(x1))))))))))))))))))))) -> 4(2(3(5(4(2(4(3(1(2(0(1(5(0(3(5(3(1(2(5(5(x1)))))))))))))))))))))
0(4(5(5(4(4(5(3(4(2(1(0(1(5(0(2(1(3(4(2(4(1(x1)))))))))))))))))))))) -> 0(4(5(4(5(4(5(3(4(2(1(0(1(5(0(2(1(3(4(2(1(4(x1))))))))))))))))))))))
2(3(4(4(3(0(1(2(3(4(4(4(2(3(1(0(1(0(1(3(1(3(3(x1))))))))))))))))))))))) -> 3(1(4(4(2(4(3(0(3(2(4(2(4(1(0(0(3(1(1(3(1(3(3(x1)))))))))))))))))))))))
4(1(1(2(4(4(2(0(0(2(2(0(1(4(0(0(3(0(4(4(2(3(3(x1))))))))))))))))))))))) -> 4(1(1(2(4(4(2(0(0(2(0(2(1(4(0(0(3(0(4(4(2(3(3(x1)))))))))))))))))))))))
4(3(3(0(2(4(2(3(4(3(5(2(4(2(2(0(0(3(0(0(0(2(5(2(x1)))))))))))))))))))))))) -> 4(3(0(3(2(4(2(3(4(3(5(2(4(2(2(0(0(3(0(0(0(2(5(2(x1))))))))))))))))))))))))
5(0(1(3(4(2(4(5(5(1(2(3(1(1(0(4(1(5(1(5(4(2(4(2(x1)))))))))))))))))))))))) -> 5(0(3(1(4(2(4(5(5(1(2(3(1(1(0(4(1(5(1(5(4(2(4(2(x1))))))))))))))))))))))))
5(3(1(2(4(4(3(2(4(3(5(0(0(0(5(4(4(5(4(4(4(3(4(0(x1)))))))))))))))))))))))) -> 5(3(1(2(4(4(3(2(5(4(3(0(0(0(5(4(4(5(4(4(4(4(3(0(x1))))))))))))))))))))))))
4(3(5(5(3(4(4(5(3(0(0(4(5(2(0(2(5(3(1(3(1(5(0(0(4(x1))))))))))))))))))))))))) -> 4(3(5(5(3(4(4(5(3(0(0(4(2(5(0(2(5(3(1(3(1(5(0(0(4(x1)))))))))))))))))))))))))
5(1(1(1(1(4(1(1(2(0(5(5(5(5(1(5(1(0(1(3(2(2(3(0(2(x1))))))))))))))))))))))))) -> 5(1(1(1(1(4(1(1(2(5(0(5(5(5(1(5(1(0(1(3(2(2(3(0(2(x1)))))))))))))))))))))))))
1(4(0(4(0(2(4(1(3(5(2(0(1(2(5(0(1(1(3(4(5(5(4(3(0(0(x1)))))))))))))))))))))))))) -> 1(4(0(4(0(2(4(1(3(5(2(0(1(2(5(0(1(1(3(4(5(5(3(4(0(0(x1))))))))))))))))))))))))))
1(5(2(3(4(1(2(5(4(4(2(1(5(0(0(0(3(3(4(3(2(5(0(5(0(3(x1)))))))))))))))))))))))))) -> 1(5(2(3(4(1(2(5(4(4(2(1(5(0(0(3(0(3(4(3(2(5(0(5(0(3(x1))))))))))))))))))))))))))
0(5(5(0(4(5(0(1(0(0(4(2(0(2(1(2(1(2(0(2(3(1(1(3(1(2(1(x1))))))))))))))))))))))))))) -> 5(4(0(5(0(5(0(0(1(0(2(2(2(1(4(0(3(2(1(1(0(2(2(3(1(1(1(x1)))))))))))))))))))))))))))
4(4(0(2(0(1(1(2(2(2(5(2(2(3(2(0(2(0(4(3(3(0(3(5(0(5(1(x1))))))))))))))))))))))))))) -> 4(4(0(2(0(1(1(2(2(2(5(2(2(3(2(0(2(4(0(3(3(0(3(5(0(5(1(x1)))))))))))))))))))))))))))
2(1(4(1(2(2(0(5(1(2(5(1(2(1(1(4(5(5(3(5(3(1(2(1(1(0(3(1(x1)))))))))))))))))))))))))))) -> 2(1(4(1(2(2(0(5(1(2(5(2(1(1(1(4(5(5(3(5(3(1(2(1(1(0(3(1(x1))))))))))))))))))))))))))))
3(1(0(3(0(2(4(1(2(1(4(1(0(2(4(2(4(2(3(2(5(0(3(2(4(2(0(5(x1)))))))))))))))))))))))))))) -> 3(1(0(0(3(2(4(1(2(1(4(1(0(2(4(2(4(2(3(2(5(0(3(2(4(2(0(5(x1))))))))))))))))))))))))))))
1(3(0(3(3(3(0(1(4(0(1(0(3(4(0(1(0(4(2(1(1(4(0(5(2(1(4(5(0(x1))))))))))))))))))))))))))))) -> 1(3(0(3(3(3(0(4(1(0(1(0(3(4(0(1(0(4(2(1(1(4(0(5(2(1(4(5(0(x1)))))))))))))))))))))))))))))
3(1(3(4(2(5(3(1(0(0(5(1(5(4(5(3(2(2(5(4(4(0(4(2(0(5(0(0(5(x1))))))))))))))))))))))))))))) -> 3(1(3(4(2(5(3(1(0(0(5(1(5(4(5(2(3(2(5(4(4(0(4(2(0(5(0(0(5(x1)))))))))))))))))))))))))))))
4(0(4(1(0(1(4(5(0(0(4(5(4(1(5(0(0(2(4(5(0(3(1(4(4(1(4(0(0(x1))))))))))))))))))))))))))))) -> 4(0(4(1(0(1(5(4(0(0(4(5(4(1(5(0(0(2(4(5(0(3(1(4(4(1(4(0(0(x1)))))))))))))))))))))))))))))
3(1(2(5(2(0(3(3(1(5(1(5(2(1(5(3(3(0(3(4(4(2(2(4(1(0(3(0(0(5(x1)))))))))))))))))))))))))))))) -> 3(1(2(5(2(3(0(3(1(5(1(5(2(1(5(3(3(0(3(4(4(2(2(4(1(0(3(0(0(5(x1))))))))))))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encArg(cons_5(x_1)) -> 5(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_4(x_1)) -> 4(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(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))

Types:
0 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
1 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
2 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
3 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
4 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
5 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encArg :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
cons_0 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_1 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_3 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_5 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_2 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_4 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
encode_0 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_1 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_2 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_3 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_4 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_5 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
hole_4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_51_6 :: 4:3:2:0:1:5:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
hole_cons_0:cons_1:cons_3:cons_5:cons_2:cons_42_6 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
gen_cons_0:cons_1:cons_3:cons_5:cons_2:cons_43_6 :: Nat -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4


Generator Equations:
gen_cons_0:cons_1:cons_3:cons_5:cons_2:cons_43_6(0) <=> hole_cons_0:cons_1:cons_3:cons_5:cons_2:cons_42_6
gen_cons_0:cons_1:cons_3:cons_5:cons_2:cons_43_6(+(x, 1)) <=> cons_0(gen_cons_0:cons_1:cons_3:cons_5:cons_2:cons_43_6(x))


The following defined symbols remain to be analysed:
1, 0, 3, 2, 4, 5, encArg

They will be analysed ascendingly in the following order:
0 = 1
0 = 3
0 = 2
0 = 4
0 = 5
0 < encArg
1 = 3
1 = 2
1 = 4
1 = 5
1 < encArg
3 = 2
3 = 4
3 = 5
3 < encArg
2 = 4
2 = 5
2 < encArg
4 = 5
4 < encArg
5 < encArg

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

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

(14)
Obligation:
The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   0(1(0(2(3(4(x1)))))) -> 0(1(0(3(2(4(x1))))))
   1(0(3(5(4(1(x1)))))) -> 1(1(3(0(5(4(x1))))))
   3(0(0(1(5(1(5(x1))))))) -> 3(0(0(5(1(1(5(x1)))))))
   5(5(1(3(0(4(5(x1))))))) -> 5(5(3(1(0(4(5(x1)))))))
   2(4(3(2(0(1(5(2(x1)))))))) -> 2(4(2(3(1(0(5(2(x1))))))))
   3(0(2(3(3(5(4(5(1(4(x1)))))))))) -> 3(0(3(2(3(5(4(5(1(4(x1))))))))))
   4(3(5(5(1(4(4(0(0(3(x1)))))))))) -> 4(3(5(5(1(4(0(4(0(3(x1))))))))))
   5(5(4(1(2(3(5(3(5(3(x1)))))))))) -> 5(5(1(4(5(2(3(3(5(3(x1))))))))))
   0(1(4(0(4(2(3(4(4(1(3(x1))))))))))) -> 3(1(5(3(2(2(1(1(5(0(x1))))))))))
   0(2(1(3(2(0(5(4(2(0(5(x1))))))))))) -> 2(2(1(1(3(1(4(5(4(0(x1))))))))))
   0(2(1(3(4(3(5(4(3(5(5(x1))))))))))) -> 1(0(0(1(1(4(1(4(1(3(x1))))))))))
   0(2(3(4(1(4(0(2(3(1(0(x1))))))))))) -> 3(1(0(2(2(1(4(1(5(1(x1))))))))))
   0(3(3(0(0(2(0(5(2(4(2(x1))))))))))) -> 5(4(5(0(3(0(3(0(5(0(x1))))))))))
   0(3(3(2(2(2(0(2(4(0(1(x1))))))))))) -> 5(4(3(1(5(0(0(0(4(2(x1))))))))))
   0(5(0(0(2(4(4(1(5(0(3(x1))))))))))) -> 1(4(3(4(3(3(2(4(3(3(x1))))))))))
   0(5(0(4(1(3(4(4(3(3(3(x1))))))))))) -> 0(0(3(0(3(4(0(4(4(4(x1))))))))))
   0(5(0(4(3(2(3(2(4(3(3(x1))))))))))) -> 3(5(0(0(5(5(1(5(0(0(x1))))))))))
   1(0(0(5(4(2(5(2(0(2(0(x1))))))))))) -> 3(0(0(5(4(5(5(4(4(2(x1))))))))))
   1(2(0(3(0(0(4(4(4(1(5(x1))))))))))) -> 1(0(0(2(4(4(0(4(2(3(x1))))))))))
   1(3(1(3(1(2(1(0(1(0(1(x1))))))))))) -> 1(2(0(2(4(5(0(1(5(2(x1))))))))))
   1(4(1(4(0(1(0(1(5(4(1(x1))))))))))) -> 3(0(3(2(2(0(1(3(0(2(x1))))))))))
   1(4(4(2(1(2(2(3(2(5(5(x1))))))))))) -> 1(1(1(5(1(0(1(5(4(2(x1))))))))))
   1(5(3(5(1(1(4(4(3(0(2(x1))))))))))) -> 0(5(0(0(0(0(2(0(1(3(x1))))))))))
   2(0(2(1(1(2(4(4(1(2(4(x1))))))))))) -> 5(5(3(1(0(5(5(5(3(0(x1))))))))))
   2(0(3(1(3(1(5(0(5(1(5(x1))))))))))) -> 5(3(1(3(5(2(4(0(4(4(x1))))))))))
   2(0(5(2(1(1(3(1(3(4(1(x1))))))))))) -> 2(3(1(3(1(4(0(3(1(3(x1))))))))))
   2(2(1(2(0(0(1(1(0(2(4(x1))))))))))) -> 0(1(5(1(5(0(2(5(4(0(x1))))))))))
   2(3(2(0(2(4(1(3(5(4(3(x1))))))))))) -> 1(0(3(5(2(0(5(4(3(3(x1))))))))))
   2(5(1(3(0(4(1(2(2(1(1(x1))))))))))) -> 0(3(3(3(3(5(1(1(1(0(x1))))))))))
   2(5(3(2(0(3(2(2(2(4(5(x1))))))))))) -> 3(1(3(0(2(0(4(2(0(4(x1))))))))))
   2(5(3(3(0(4(5(2(0(3(0(x1))))))))))) -> 2(5(3(3(4(0(5(2(0(3(0(x1)))))))))))
   2(5(5(3(1(5(0(2(2(3(3(x1))))))))))) -> 4(3(4(1(1(0(0(5(0(2(x1))))))))))
   3(0(0(3(4(3(0(3(1(4(0(x1))))))))))) -> 2(4(3(4(0(0(3(1(0(4(x1))))))))))
   3(0(5(5(2(5(3(2(3(2(4(x1))))))))))) -> 2(3(3(0(0(5(0(0(0(4(x1))))))))))
   3(1(0(1(1(2(4(4(5(1(0(x1))))))))))) -> 0(2(1(1(5(3(0(0(0(1(x1))))))))))
   3(2(0(0(3(0(2(0(2(1(3(x1))))))))))) -> 0(2(3(1(3(1(1(2(5(5(x1))))))))))
   3(3(2(3(5(0(1(5(5(2(4(x1))))))))))) -> 3(0(1(5(4(4(0(5(2(5(x1))))))))))
   3(3(4(2(5(0(0(5(3(3(2(x1))))))))))) -> 4(3(1(1(2(1(0(2(2(3(x1))))))))))
   3(3(5(0(1(2(1(0(4(3(0(x1))))))))))) -> 2(3(1(5(2(5(0(0(3(1(x1))))))))))
   3(4(0(0(4(5(1(0(1(0(3(x1))))))))))) -> 1(5(0(0(1(4(3(4(4(1(x1))))))))))
   3(4(2(0(4(3(2(1(0(5(2(x1))))))))))) -> 1(0(3(3(2(0(2(3(1(3(x1))))))))))
   3(4(2(3(2(4(2(5(2(0(4(x1))))))))))) -> 2(5(5(2(4(4(2(4(1(3(x1))))))))))
   3(5(4(1(0(1(0(3(0(3(3(x1))))))))))) -> 5(1(4(3(0(4(3(0(5(2(x1))))))))))
   4(0(5(2(1(3(1(4(1(2(5(x1))))))))))) -> 3(1(4(2(1(2(2(2(5(2(x1))))))))))
   4(1(3(0(1(0(4(3(3(1(1(x1))))))))))) -> 4(2(3(4(0(3(3(2(5(0(x1))))))))))
   4(1(5(4(4(0(2(0(0(0(4(x1))))))))))) -> 0(3(3(2(4(2(1(3(3(5(x1))))))))))
   4(2(1(5(1(5(1(3(5(0(2(x1))))))))))) -> 1(3(5(3(2(5(2(0(4(4(x1))))))))))
   4(3(1(4(3(0(5(5(4(1(5(x1))))))))))) -> 2(0(0(0(3(3(1(2(5(4(x1))))))))))
   4(3(1(5(3(0(3(5(3(4(3(x1))))))))))) -> 1(4(1(5(3(2(5(5(2(4(x1))))))))))
   4(3(2(4(5(2(3(3(1(4(0(x1))))))))))) -> 4(3(2(1(4(0(2(4(2(1(x1))))))))))
   4(3(2(5(3(1(4(0(3(5(2(x1))))))))))) -> 0(3(1(2(3(5(1(0(2(3(x1))))))))))
   4(5(4(1(3(3(3(2(2(3(0(x1))))))))))) -> 3(5(3(4(0(3(5(2(4(0(x1))))))))))
   5(2(5(2(5(5(4(0(0(0(0(x1))))))))))) -> 3(0(1(1(1(3(1(3(0(4(x1))))))))))
   5(4(0(0(4(5(5(2(3(5(2(x1))))))))))) -> 1(0(3(5(3(5(0(1(1(5(x1))))))))))
   5(4(0(5(1(1(5(0(4(1(3(x1))))))))))) -> 2(1(4(2(0(3(2(1(3(0(x1))))))))))
   5(4(5(1(0(3(1(0(5(3(5(x1))))))))))) -> 3(5(5(1(1(3(3(4(0(4(x1))))))))))
   5(4(5(2(1(3(3(0(5(2(3(x1))))))))))) -> 2(0(1(2(2(2(2(0(2(0(x1))))))))))
   1(3(2(3(3(5(1(1(0(4(4(5(x1)))))))))))) -> 5(2(0(4(5(1(3(5(5(0(x1))))))))))
   3(2(5(1(5(4(2(4(5(0(5(5(x1)))))))))))) -> 0(2(5(1(0(0(5(1(5(1(x1))))))))))
   3(5(4(2(4(1(5(1(5(5(2(1(x1)))))))))))) -> 2(5(5(3(1(2(4(1(5(1(5(4(x1))))))))))))
   4(4(5(3(3(2(3(1(3(3(0(1(5(2(x1)))))))))))))) -> 4(4(5(3(3(2(3(1(3(0(3(1(5(2(x1))))))))))))))
   1(1(0(2(1(3(1(1(5(1(0(2(5(4(4(x1))))))))))))))) -> 1(1(0(1(2(3(1(1(5(1(0(2(5(4(4(x1)))))))))))))))
   2(3(0(3(3(3(3(2(5(5(4(0(0(3(5(x1))))))))))))))) -> 2(3(0(3(3(3(3(5(2(5(4(0(3(0(5(x1)))))))))))))))
   2(3(4(5(5(4(5(0(0(0(5(4(4(2(0(x1))))))))))))))) -> 2(3(4(5(5(4(0(5(0(0(5(2(4(4(0(x1)))))))))))))))
   4(0(1(2(0(4(3(2(3(2(0(4(0(5(0(4(3(x1))))))))))))))))) -> 4(0(1(2(0(4(3(2(2(3(0(4(0(5(0(4(3(x1)))))))))))))))))
   5(4(5(3(4(0(0(1(2(0(0(4(0(0(3(5(3(x1))))))))))))))))) -> 5(4(5(3(4(0(0(1(2(0(0(4(0(3(0(5(3(x1)))))))))))))))))
   1(5(2(1(1(2(4(0(0(5(5(0(4(2(4(5(0(2(1(x1))))))))))))))))))) -> 1(5(2(1(1(2(4(0(0(5(5(0(4(2(5(4(0(2(1(x1)))))))))))))))))))
   3(1(0(4(3(1(4(2(0(4(5(4(2(0(0(1(0(2(0(x1))))))))))))))))))) -> 3(1(0(4(3(1(2(4(0(4(5(4(2(0(0(1(0(2(0(x1)))))))))))))))))))
   3(3(2(0(2(2(0(0(5(5(5(4(2(0(1(3(4(5(5(x1))))))))))))))))))) -> 3(3(2(0(2(2(0(0(5(5(4(5(2(0(1(3(4(5(5(x1)))))))))))))))))))
   3(4(1(4(5(1(3(0(3(5(0(0(5(5(0(4(4(0(2(1(x1)))))))))))))))))))) -> 3(4(1(4(5(1(3(0(5(3(0(0(5(5(4(0(4(0(2(1(x1))))))))))))))))))))
   3(2(5(0(2(1(0(5(4(4(3(5(4(2(1(1(1(4(1(5(3(x1))))))))))))))))))))) -> 3(2(0(5(2(1(0(5(4(4(3(5(4(2(1(1(1(4(1(5(3(x1)))))))))))))))))))))
   4(2(3(5(4(2(4(1(3(2(0(1(5(0(3(5(3(1(2(5(5(x1))))))))))))))))))))) -> 4(2(3(5(4(2(4(3(1(2(0(1(5(0(3(5(3(1(2(5(5(x1)))))))))))))))))))))
   0(4(5(5(4(4(5(3(4(2(1(0(1(5(0(2(1(3(4(2(4(1(x1)))))))))))))))))))))) -> 0(4(5(4(5(4(5(3(4(2(1(0(1(5(0(2(1(3(4(2(1(4(x1))))))))))))))))))))))
   2(3(4(4(3(0(1(2(3(4(4(4(2(3(1(0(1(0(1(3(1(3(3(x1))))))))))))))))))))))) -> 3(1(4(4(2(4(3(0(3(2(4(2(4(1(0(0(3(1(1(3(1(3(3(x1)))))))))))))))))))))))
   4(1(1(2(4(4(2(0(0(2(2(0(1(4(0(0(3(0(4(4(2(3(3(x1))))))))))))))))))))))) -> 4(1(1(2(4(4(2(0(0(2(0(2(1(4(0(0(3(0(4(4(2(3(3(x1)))))))))))))))))))))))
   4(3(3(0(2(4(2(3(4(3(5(2(4(2(2(0(0(3(0(0(0(2(5(2(x1)))))))))))))))))))))))) -> 4(3(0(3(2(4(2(3(4(3(5(2(4(2(2(0(0(3(0(0(0(2(5(2(x1))))))))))))))))))))))))
   5(0(1(3(4(2(4(5(5(1(2(3(1(1(0(4(1(5(1(5(4(2(4(2(x1)))))))))))))))))))))))) -> 5(0(3(1(4(2(4(5(5(1(2(3(1(1(0(4(1(5(1(5(4(2(4(2(x1))))))))))))))))))))))))
   5(3(1(2(4(4(3(2(4(3(5(0(0(0(5(4(4(5(4(4(4(3(4(0(x1)))))))))))))))))))))))) -> 5(3(1(2(4(4(3(2(5(4(3(0(0(0(5(4(4(5(4(4(4(4(3(0(x1))))))))))))))))))))))))
   4(3(5(5(3(4(4(5(3(0(0(4(5(2(0(2(5(3(1(3(1(5(0(0(4(x1))))))))))))))))))))))))) -> 4(3(5(5(3(4(4(5(3(0(0(4(2(5(0(2(5(3(1(3(1(5(0(0(4(x1)))))))))))))))))))))))))
   5(1(1(1(1(4(1(1(2(0(5(5(5(5(1(5(1(0(1(3(2(2(3(0(2(x1))))))))))))))))))))))))) -> 5(1(1(1(1(4(1(1(2(5(0(5(5(5(1(5(1(0(1(3(2(2(3(0(2(x1)))))))))))))))))))))))))
   1(4(0(4(0(2(4(1(3(5(2(0(1(2(5(0(1(1(3(4(5(5(4(3(0(0(x1)))))))))))))))))))))))))) -> 1(4(0(4(0(2(4(1(3(5(2(0(1(2(5(0(1(1(3(4(5(5(3(4(0(0(x1))))))))))))))))))))))))))
   1(5(2(3(4(1(2(5(4(4(2(1(5(0(0(0(3(3(4(3(2(5(0(5(0(3(x1)))))))))))))))))))))))))) -> 1(5(2(3(4(1(2(5(4(4(2(1(5(0(0(3(0(3(4(3(2(5(0(5(0(3(x1))))))))))))))))))))))))))
   0(5(5(0(4(5(0(1(0(0(4(2(0(2(1(2(1(2(0(2(3(1(1(3(1(2(1(x1))))))))))))))))))))))))))) -> 5(4(0(5(0(5(0(0(1(0(2(2(2(1(4(0(3(2(1(1(0(2(2(3(1(1(1(x1)))))))))))))))))))))))))))
   4(4(0(2(0(1(1(2(2(2(5(2(2(3(2(0(2(0(4(3(3(0(3(5(0(5(1(x1))))))))))))))))))))))))))) -> 4(4(0(2(0(1(1(2(2(2(5(2(2(3(2(0(2(4(0(3(3(0(3(5(0(5(1(x1)))))))))))))))))))))))))))
   2(1(4(1(2(2(0(5(1(2(5(1(2(1(1(4(5(5(3(5(3(1(2(1(1(0(3(1(x1)))))))))))))))))))))))))))) -> 2(1(4(1(2(2(0(5(1(2(5(2(1(1(1(4(5(5(3(5(3(1(2(1(1(0(3(1(x1))))))))))))))))))))))))))))
   3(1(0(3(0(2(4(1(2(1(4(1(0(2(4(2(4(2(3(2(5(0(3(2(4(2(0(5(x1)))))))))))))))))))))))))))) -> 3(1(0(0(3(2(4(1(2(1(4(1(0(2(4(2(4(2(3(2(5(0(3(2(4(2(0(5(x1))))))))))))))))))))))))))))
   1(3(0(3(3(3(0(1(4(0(1(0(3(4(0(1(0(4(2(1(1(4(0(5(2(1(4(5(0(x1))))))))))))))))))))))))))))) -> 1(3(0(3(3(3(0(4(1(0(1(0(3(4(0(1(0(4(2(1(1(4(0(5(2(1(4(5(0(x1)))))))))))))))))))))))))))))
   3(1(3(4(2(5(3(1(0(0(5(1(5(4(5(3(2(2(5(4(4(0(4(2(0(5(0(0(5(x1))))))))))))))))))))))))))))) -> 3(1(3(4(2(5(3(1(0(0(5(1(5(4(5(2(3(2(5(4(4(0(4(2(0(5(0(0(5(x1)))))))))))))))))))))))))))))
   4(0(4(1(0(1(4(5(0(0(4(5(4(1(5(0(0(2(4(5(0(3(1(4(4(1(4(0(0(x1))))))))))))))))))))))))))))) -> 4(0(4(1(0(1(5(4(0(0(4(5(4(1(5(0(0(2(4(5(0(3(1(4(4(1(4(0(0(x1)))))))))))))))))))))))))))))
   3(1(2(5(2(0(3(3(1(5(1(5(2(1(5(3(3(0(3(4(4(2(2(4(1(0(3(0(0(5(x1)))))))))))))))))))))))))))))) -> 3(1(2(5(2(3(0(3(1(5(1(5(2(1(5(3(3(0(3(4(4(2(2(4(1(0(3(0(0(5(x1))))))))))))))))))))))))))))))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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))

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

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

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


The TRS R consists of the following rules:

   1(c_2(c_0(c_3(c_0(c_0(c_4(c_4(c_4(c_1(c_5(x1))))))))))) -> 1(0(0(2(4(4(0(4(2(3(x1))))))))))
   4(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(x1))))))))))))))))))))) -> 4(2(3(5(4(2(4(3(1(2(0(1(5(0(3(5(3(1(2(5(5(x1)))))))))))))))))))))
   2(c_1(c_4(c_1(c_2(c_2(c_0(c_5(c_1(c_2(c_5(c_1(c_2(c_1(c_1(c_4(c_5(c_5(c_3(c_5(c_3(c_1(c_2(c_1(c_1(c_0(c_3(c_1(x1)))))))))))))))))))))))))))) -> 2(1(4(1(2(2(0(5(1(2(5(2(1(1(1(4(5(5(3(5(3(1(2(1(1(0(3(1(x1))))))))))))))))))))))))))))
   1(c_4(c_0(c_4(c_0(c_2(c_4(c_1(c_3(c_5(c_2(c_0(c_1(c_2(c_5(c_0(c_1(c_1(c_3(c_4(c_5(c_5(c_4(c_3(c_0(c_0(x1)))))))))))))))))))))))))) -> 1(4(0(4(0(2(4(1(3(5(2(0(1(2(5(0(1(1(3(4(5(5(3(4(0(0(x1))))))))))))))))))))))))))
   0(c_5(c_0(c_4(c_1(c_3(c_4(c_4(c_3(c_3(c_3(x1))))))))))) -> 0(0(3(0(3(4(0(4(4(4(x1))))))))))
   3(c_4(c_1(c_4(c_5(c_1(c_3(c_0(c_3(c_5(c_0(c_0(c_5(c_5(c_0(c_4(c_4(c_0(c_2(c_1(x1)))))))))))))))))))) -> 3(4(1(4(5(1(3(0(5(3(0(0(5(5(4(0(4(0(2(1(x1))))))))))))))))))))
   5(c_0(c_1(c_3(c_4(c_2(c_4(c_5(c_5(c_1(c_2(c_3(c_1(c_1(c_0(c_4(c_1(c_5(c_1(c_5(c_4(c_2(c_4(c_2(x1)))))))))))))))))))))))) -> 5(0(3(1(4(2(4(5(5(1(2(3(1(1(0(4(1(5(1(5(4(2(4(2(x1))))))))))))))))))))))))
   4(c_1(c_5(c_4(c_4(c_0(c_2(c_0(c_0(c_0(c_4(x1))))))))))) -> 0(3(3(2(4(2(1(3(3(5(x1))))))))))
   2(c_0(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_2(c_4(x1))))))))))) -> 5(5(3(1(0(5(5(5(3(0(x1))))))))))
   1(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_4(c_0(c_1(c_0(c_3(c_4(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_4(c_0(c_5(c_2(c_1(c_4(c_5(c_0(x1))))))))))))))))))))))))))))) -> 1(3(0(3(3(3(0(4(1(0(1(0(3(4(0(1(0(4(2(1(1(4(0(5(2(1(4(5(0(x1)))))))))))))))))))))))))))))
   5(c_5(c_4(c_1(c_2(c_3(c_5(c_3(c_5(c_3(x1)))))))))) -> 5(5(1(4(5(2(3(3(5(3(x1))))))))))
   2(c_5(c_5(c_3(c_1(c_5(c_0(c_2(c_2(c_3(c_3(x1))))))))))) -> 4(3(4(1(1(0(0(5(0(2(x1))))))))))
   0(c_5(c_0(c_0(c_2(c_4(c_4(c_1(c_5(c_0(c_3(x1))))))))))) -> 1(4(3(4(3(3(2(4(3(3(x1))))))))))
   0(c_4(c_5(c_5(c_4(c_4(c_5(c_3(c_4(c_2(c_1(c_0(c_1(c_5(c_0(c_2(c_1(c_3(c_4(c_2(c_4(c_1(x1)))))))))))))))))))))) -> 0(4(5(4(5(4(5(3(4(2(1(0(1(5(0(2(1(3(4(2(1(4(x1))))))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_5(c_4(c_5(c_1(c_4(x1)))))))))) -> 3(0(3(2(3(5(4(5(1(4(x1))))))))))
   0(c_5(c_0(c_4(c_3(c_2(c_3(c_2(c_4(c_3(c_3(x1))))))))))) -> 3(5(0(0(5(5(1(5(0(0(x1))))))))))
   0(c_3(c_3(c_0(c_0(c_2(c_0(c_5(c_2(c_4(c_2(x1))))))))))) -> 5(4(5(0(3(0(3(0(5(0(x1))))))))))
   1(c_5(c_3(c_5(c_1(c_1(c_4(c_4(c_3(c_0(c_2(x1))))))))))) -> 0(5(0(0(0(0(2(0(1(3(x1))))))))))
   4(c_5(c_4(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_0(x1))))))))))) -> 3(5(3(4(0(3(5(2(4(0(x1))))))))))
   4(c_1(c_1(c_2(c_4(c_4(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_4(c_0(c_0(c_3(c_0(c_4(c_4(c_2(c_3(c_3(x1))))))))))))))))))))))) -> 4(1(1(2(4(4(2(0(0(2(0(2(1(4(0(0(3(0(4(4(2(3(3(x1)))))))))))))))))))))))
   2(c_0(c_5(c_2(c_1(c_1(c_3(c_1(c_3(c_4(c_1(x1))))))))))) -> 2(3(1(3(1(4(0(3(1(3(x1))))))))))
   4(c_0(c_1(c_2(c_0(c_4(c_3(c_2(c_3(c_2(c_0(c_4(c_0(c_5(c_0(c_4(c_3(x1))))))))))))))))) -> 4(0(1(2(0(4(3(2(2(3(0(4(0(5(0(4(3(x1)))))))))))))))))
   3(c_0(c_0(c_1(c_5(c_1(c_5(x1))))))) -> 3(0(0(5(1(1(5(x1)))))))
   3(c_0(c_0(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_0(x1))))))))))) -> 2(4(3(4(0(0(3(1(0(4(x1))))))))))
   3(c_3(c_2(c_0(c_2(c_2(c_0(c_0(c_5(c_5(c_5(c_4(c_2(c_0(c_1(c_3(c_4(c_5(c_5(x1))))))))))))))))))) -> 3(3(2(0(2(2(0(0(5(5(4(5(2(0(1(3(4(5(5(x1)))))))))))))))))))
   5(c_5(c_1(c_3(c_0(c_4(c_5(x1))))))) -> 5(5(3(1(0(4(5(x1)))))))
   5(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(x1))))))))))) -> 1(0(3(5(3(5(0(1(1(5(x1))))))))))
   5(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(x1))))))))))) -> 2(0(1(2(2(2(2(0(2(0(x1))))))))))
   4(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(x1))))))))))))))))))))))))))) -> 4(4(0(2(0(1(1(2(2(2(5(2(2(3(2(0(2(4(0(3(3(0(3(5(0(5(1(x1)))))))))))))))))))))))))))
   4(c_3(c_5(c_5(c_1(c_4(c_4(c_0(c_0(c_3(x1)))))))))) -> 4(3(5(5(1(4(0(4(0(3(x1))))))))))
   5(c_4(c_5(c_3(c_4(c_0(c_0(c_1(c_2(c_0(c_0(c_4(c_0(c_0(c_3(c_5(c_3(x1))))))))))))))))) -> 5(4(5(3(4(0(0(1(2(0(0(4(0(3(0(5(3(x1)))))))))))))))))
   4(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(x1))))))))))) -> 2(0(0(0(3(3(1(2(5(4(x1))))))))))
   2(c_3(c_0(c_3(c_3(c_3(c_3(c_2(c_5(c_5(c_4(c_0(c_0(c_3(c_5(x1))))))))))))))) -> 2(3(0(3(3(3(3(5(2(5(4(0(3(0(5(x1)))))))))))))))
   3(c_2(c_0(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(x1))))))))))) -> 0(2(3(1(3(1(1(2(5(5(x1))))))))))
   1(c_1(c_0(c_2(c_1(c_3(c_1(c_1(c_5(c_1(c_0(c_2(c_5(c_4(c_4(x1))))))))))))))) -> 1(1(0(1(2(3(1(1(5(1(0(2(5(4(4(x1)))))))))))))))
   2(c_5(c_1(c_3(c_0(c_4(c_1(c_2(c_2(c_1(c_1(x1))))))))))) -> 0(3(3(3(3(5(1(1(1(0(x1))))))))))
   3(c_5(c_4(c_2(c_4(c_1(c_5(c_1(c_5(c_5(c_2(c_1(x1)))))))))))) -> 2(5(5(3(1(2(4(1(5(1(5(4(x1))))))))))))
   4(c_2(c_1(c_5(c_1(c_5(c_1(c_3(c_5(c_0(c_2(x1))))))))))) -> 1(3(5(3(2(5(2(0(4(4(x1))))))))))
   4(c_3(c_2(c_5(c_3(c_1(c_4(c_0(c_3(c_5(c_2(x1))))))))))) -> 0(3(1(2(3(5(1(0(2(3(x1))))))))))
   0(c_1(c_0(c_2(c_3(c_4(x1)))))) -> 0(1(0(3(2(4(x1))))))
   4(c_3(c_3(c_0(c_2(c_4(c_2(c_3(c_4(c_3(c_5(c_2(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_0(c_0(c_2(c_5(c_2(x1)))))))))))))))))))))))) -> 4(3(0(3(2(4(2(3(4(3(5(2(4(2(2(0(0(3(0(0(0(2(5(2(x1))))))))))))))))))))))))
   0(c_1(c_4(c_0(c_4(c_2(c_3(c_4(c_4(c_1(c_3(x1))))))))))) -> 3(1(5(3(2(2(1(1(5(0(x1))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))) -> 1(2(0(2(4(5(0(1(5(2(x1))))))))))
   2(c_4(c_3(c_2(c_0(c_1(c_5(c_2(x1)))))))) -> 2(4(2(3(1(0(5(2(x1))))))))
   1(c_0(c_3(c_5(c_4(c_1(x1)))))) -> 1(1(3(0(5(4(x1))))))
   0(c_2(c_1(c_3(c_4(c_3(c_5(c_4(c_3(c_5(c_5(x1))))))))))) -> 1(0(0(1(1(4(1(4(1(3(x1))))))))))
   3(c_2(c_5(c_1(c_5(c_4(c_2(c_4(c_5(c_0(c_5(c_5(x1)))))))))))) -> 0(2(5(1(0(0(5(1(5(1(x1))))))))))
   3(c_4(c_0(c_0(c_4(c_5(c_1(c_0(c_1(c_0(c_3(x1))))))))))) -> 1(5(0(0(1(4(3(4(4(1(x1))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_4(x1))))))))))) -> 0(1(5(1(5(0(2(5(4(0(x1))))))))))
   0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_4(c_0(c_1(x1))))))))))) -> 5(4(3(1(5(0(0(0(4(2(x1))))))))))
   3(c_0(c_5(c_5(c_2(c_5(c_3(c_2(c_3(c_2(c_4(x1))))))))))) -> 2(3(3(0(0(5(0(0(0(4(x1))))))))))
   2(c_3(c_2(c_0(c_2(c_4(c_1(c_3(c_5(c_4(c_3(x1))))))))))) -> 1(0(3(5(2(0(5(4(3(3(x1))))))))))
   3(c_1(c_0(c_1(c_1(c_2(c_4(c_4(c_5(c_1(c_0(x1))))))))))) -> 0(2(1(1(5(3(0(0(0(1(x1))))))))))
   5(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(x1))))))))))) -> 3(5(5(1(1(3(3(4(0(4(x1))))))))))
   3(c_1(c_3(c_4(c_2(c_5(c_3(c_1(c_0(c_0(c_5(c_1(c_5(c_4(c_5(c_3(c_2(c_2(c_5(c_4(c_4(c_0(c_4(c_2(c_0(c_5(c_0(c_0(c_5(x1))))))))))))))))))))))))))))) -> 3(1(3(4(2(5(3(1(0(0(5(1(5(4(5(2(3(2(5(4(4(0(4(2(0(5(0(0(5(x1)))))))))))))))))))))))))))))
   5(c_2(c_5(c_2(c_5(c_5(c_4(c_0(c_0(c_0(c_0(x1))))))))))) -> 3(0(1(1(1(3(1(3(0(4(x1))))))))))
   1(c_4(c_1(c_4(c_0(c_1(c_0(c_1(c_5(c_4(c_1(x1))))))))))) -> 3(0(3(2(2(0(1(3(0(2(x1))))))))))
   3(c_5(c_4(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_3(x1))))))))))) -> 5(1(4(3(0(4(3(0(5(2(x1))))))))))
   0(c_2(c_1(c_3(c_2(c_0(c_5(c_4(c_2(c_0(c_5(x1))))))))))) -> 2(2(1(1(3(1(4(5(4(0(x1))))))))))
   4(c_0(c_4(c_1(c_0(c_1(c_4(c_5(c_0(c_0(c_4(c_5(c_4(c_1(c_5(c_0(c_0(c_2(c_4(c_5(c_0(c_3(c_1(c_4(c_4(c_1(c_4(c_0(c_0(x1))))))))))))))))))))))))))))) -> 4(0(4(1(0(1(5(4(0(0(4(5(4(1(5(0(0(2(4(5(0(3(1(4(4(1(4(0(0(x1)))))))))))))))))))))))))))))
   3(c_1(c_2(c_5(c_2(c_0(c_3(c_3(c_1(c_5(c_1(c_5(c_2(c_1(c_5(c_3(c_3(c_0(c_3(c_4(c_4(c_2(c_2(c_4(c_1(c_0(c_3(c_0(c_0(c_5(x1)))))))))))))))))))))))))))))) -> 3(1(2(5(2(3(0(3(1(5(1(5(2(1(5(3(3(0(3(4(4(2(2(4(1(0(3(0(0(5(x1))))))))))))))))))))))))))))))
   1(c_3(c_2(c_3(c_3(c_5(c_1(c_1(c_0(c_4(c_4(c_5(x1)))))))))))) -> 5(2(0(4(5(1(3(5(5(0(x1))))))))))
   2(c_3(c_4(c_5(c_5(c_4(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_2(c_0(x1))))))))))))))) -> 2(3(4(5(5(4(0(5(0(0(5(2(4(4(0(x1)))))))))))))))
   2(c_5(c_3(c_3(c_0(c_4(c_5(c_2(c_0(c_3(c_0(x1))))))))))) -> 2(5(3(3(4(0(5(2(0(3(0(x1)))))))))))
   3(c_4(c_2(c_3(c_2(c_4(c_2(c_5(c_2(c_0(c_4(x1))))))))))) -> 2(5(5(2(4(4(2(4(1(3(x1))))))))))
   4(c_4(c_5(c_3(c_3(c_2(c_3(c_1(c_3(c_3(c_0(c_1(c_5(c_2(x1)))))))))))))) -> 4(4(5(3(3(2(3(1(3(0(3(1(5(2(x1))))))))))))))
   1(c_5(c_2(c_1(c_1(c_2(c_4(c_0(c_0(c_5(c_5(c_0(c_4(c_2(c_4(c_5(c_0(c_2(c_1(x1))))))))))))))))))) -> 1(5(2(1(1(2(4(0(0(5(5(0(4(2(5(4(0(2(1(x1)))))))))))))))))))
   5(c_1(c_1(c_1(c_1(c_4(c_1(c_1(c_2(c_0(c_5(c_5(c_5(c_5(c_1(c_5(c_1(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(x1))))))))))))))))))))))))) -> 5(1(1(1(1(4(1(1(2(5(0(5(5(5(1(5(1(0(1(3(2(2(3(0(2(x1)))))))))))))))))))))))))
   3(c_3(c_4(c_2(c_5(c_0(c_0(c_5(c_3(c_3(c_2(x1))))))))))) -> 4(3(1(1(2(1(0(2(2(3(x1))))))))))
   4(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(x1))))))))))) -> 3(1(4(2(1(2(2(2(5(2(x1))))))))))
   0(c_5(c_5(c_0(c_4(c_5(c_0(c_1(c_0(c_0(c_4(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x1))))))))))))))))))))))))))) -> 5(4(0(5(0(5(0(0(1(0(2(2(2(1(4(0(3(2(1(1(0(2(2(3(1(1(1(x1)))))))))))))))))))))))))))
   1(c_0(c_0(c_5(c_4(c_2(c_5(c_2(c_0(c_2(c_0(x1))))))))))) -> 3(0(0(5(4(5(5(4(4(2(x1))))))))))
   4(c_3(c_1(c_5(c_3(c_0(c_3(c_5(c_3(c_4(c_3(x1))))))))))) -> 1(4(1(5(3(2(5(5(2(4(x1))))))))))
   2(c_5(c_3(c_2(c_0(c_3(c_2(c_2(c_2(c_4(c_5(x1))))))))))) -> 3(1(3(0(2(0(4(2(0(4(x1))))))))))
   5(c_3(c_1(c_2(c_4(c_4(c_3(c_2(c_4(c_3(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_5(c_4(c_4(c_4(c_3(c_4(c_0(x1)))))))))))))))))))))))) -> 5(3(1(2(4(4(3(2(5(4(3(0(0(0(5(4(4(5(4(4(4(4(3(0(x1))))))))))))))))))))))))
   3(c_3(c_5(c_0(c_1(c_2(c_1(c_0(c_4(c_3(c_0(x1))))))))))) -> 2(3(1(5(2(5(0(0(3(1(x1))))))))))
   1(c_5(c_2(c_3(c_4(c_1(c_2(c_5(c_4(c_4(c_2(c_1(c_5(c_0(c_0(c_0(c_3(c_3(c_4(c_3(c_2(c_5(c_0(c_5(c_0(c_3(x1)))))))))))))))))))))))))) -> 1(5(2(3(4(1(2(5(4(4(2(1(5(0(0(3(0(3(4(3(2(5(0(5(0(3(x1))))))))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_1(c_5(c_0(c_5(c_1(c_5(x1))))))))))) -> 5(3(1(3(5(2(4(0(4(4(x1))))))))))
   1(c_4(c_4(c_2(c_1(c_2(c_2(c_3(c_2(c_5(c_5(x1))))))))))) -> 1(1(1(5(1(0(1(5(4(2(x1))))))))))
   3(c_1(c_0(c_4(c_3(c_1(c_4(c_2(c_0(c_4(c_5(c_4(c_2(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))) -> 3(1(0(4(3(1(2(4(0(4(5(4(2(0(0(1(0(2(0(x1)))))))))))))))))))
   4(c_3(c_2(c_4(c_5(c_2(c_3(c_3(c_1(c_4(c_0(x1))))))))))) -> 4(3(2(1(4(0(2(4(2(1(x1))))))))))
   4(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(x1))))))))))))))))))))))))) -> 4(3(5(5(3(4(4(5(3(0(0(4(2(5(0(2(5(3(1(3(1(5(0(0(4(x1)))))))))))))))))))))))))
   3(c_4(c_2(c_0(c_4(c_3(c_2(c_1(c_0(c_5(c_2(x1))))))))))) -> 1(0(3(3(2(0(2(3(1(3(x1))))))))))
   5(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(x1))))))))))) -> 2(1(4(2(0(3(2(1(3(0(x1))))))))))
   3(c_2(c_5(c_0(c_2(c_1(c_0(c_5(c_4(c_4(c_3(c_5(c_4(c_2(c_1(c_1(c_1(c_4(c_1(c_5(c_3(x1))))))))))))))))))))) -> 3(2(0(5(2(1(0(5(4(4(3(5(4(2(1(1(1(4(1(5(3(x1)))))))))))))))))))))
   3(c_3(c_2(c_3(c_5(c_0(c_1(c_5(c_5(c_2(c_4(x1))))))))))) -> 3(0(1(5(4(4(0(5(2(5(x1))))))))))
   2(c_3(c_4(c_4(c_3(c_0(c_1(c_2(c_3(c_4(c_4(c_4(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(x1))))))))))))))))))))))) -> 3(1(4(4(2(4(3(0(3(2(4(2(4(1(0(0(3(1(1(3(1(3(3(x1)))))))))))))))))))))))
   3(c_1(c_0(c_3(c_0(c_2(c_4(c_1(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_4(c_2(c_3(c_2(c_5(c_0(c_3(c_2(c_4(c_2(c_0(c_5(x1)))))))))))))))))))))))))))) -> 3(1(0(0(3(2(4(1(2(1(4(1(0(2(4(2(4(2(3(2(5(0(3(2(4(2(0(5(x1))))))))))))))))))))))))))))
   0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_3(c_1(c_0(x1))))))))))) -> 3(1(0(2(2(1(4(1(5(1(x1))))))))))
   4(c_1(c_3(c_0(c_1(c_0(c_4(c_3(c_3(c_1(c_1(x1))))))))))) -> 4(2(3(4(0(3(3(2(5(0(x1))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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))
   5(x0) -> c_5(x0)
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   3(x0) -> c_3(x0)
   4(x0) -> c_4(x0)

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

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

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

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


The TRS R consists of the following rules:

   1(c_2(c_0(c_3(c_0(c_0(c_4(c_4(c_4(c_1(c_5(x1))))))))))) -> 1(0(0(2(4(4(0(4(2(3(x1))))))))))
   4(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(x1))))))))))))))))))))) -> 4(2(3(5(4(2(4(3(1(2(0(1(5(0(3(5(3(1(2(5(5(x1)))))))))))))))))))))
   2(c_1(c_4(c_1(c_2(c_2(c_0(c_5(c_1(c_2(c_5(c_1(c_2(c_1(c_1(c_4(c_5(c_5(c_3(c_5(c_3(c_1(c_2(c_1(c_1(c_0(c_3(c_1(x1)))))))))))))))))))))))))))) -> 2(1(4(1(2(2(0(5(1(2(5(2(1(1(1(4(5(5(3(5(3(1(2(1(1(0(3(1(x1))))))))))))))))))))))))))))
   1(c_4(c_0(c_4(c_0(c_2(c_4(c_1(c_3(c_5(c_2(c_0(c_1(c_2(c_5(c_0(c_1(c_1(c_3(c_4(c_5(c_5(c_4(c_3(c_0(c_0(x1)))))))))))))))))))))))))) -> 1(4(0(4(0(2(4(1(3(5(2(0(1(2(5(0(1(1(3(4(5(5(3(4(0(0(x1))))))))))))))))))))))))))
   0(c_5(c_0(c_4(c_1(c_3(c_4(c_4(c_3(c_3(c_3(x1))))))))))) -> 0(0(3(0(3(4(0(4(4(4(x1))))))))))
   3(c_4(c_1(c_4(c_5(c_1(c_3(c_0(c_3(c_5(c_0(c_0(c_5(c_5(c_0(c_4(c_4(c_0(c_2(c_1(x1)))))))))))))))))))) -> 3(4(1(4(5(1(3(0(5(3(0(0(5(5(4(0(4(0(2(1(x1))))))))))))))))))))
   5(c_0(c_1(c_3(c_4(c_2(c_4(c_5(c_5(c_1(c_2(c_3(c_1(c_1(c_0(c_4(c_1(c_5(c_1(c_5(c_4(c_2(c_4(c_2(x1)))))))))))))))))))))))) -> 5(0(3(1(4(2(4(5(5(1(2(3(1(1(0(4(1(5(1(5(4(2(4(2(x1))))))))))))))))))))))))
   4(c_1(c_5(c_4(c_4(c_0(c_2(c_0(c_0(c_0(c_4(x1))))))))))) -> 0(3(3(2(4(2(1(3(3(5(x1))))))))))
   2(c_0(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_2(c_4(x1))))))))))) -> 5(5(3(1(0(5(5(5(3(0(x1))))))))))
   1(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_4(c_0(c_1(c_0(c_3(c_4(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_4(c_0(c_5(c_2(c_1(c_4(c_5(c_0(x1))))))))))))))))))))))))))))) -> 1(3(0(3(3(3(0(4(1(0(1(0(3(4(0(1(0(4(2(1(1(4(0(5(2(1(4(5(0(x1)))))))))))))))))))))))))))))
   5(c_5(c_4(c_1(c_2(c_3(c_5(c_3(c_5(c_3(x1)))))))))) -> 5(5(1(4(5(2(3(3(5(3(x1))))))))))
   2(c_5(c_5(c_3(c_1(c_5(c_0(c_2(c_2(c_3(c_3(x1))))))))))) -> 4(3(4(1(1(0(0(5(0(2(x1))))))))))
   0(c_5(c_0(c_0(c_2(c_4(c_4(c_1(c_5(c_0(c_3(x1))))))))))) -> 1(4(3(4(3(3(2(4(3(3(x1))))))))))
   0(c_4(c_5(c_5(c_4(c_4(c_5(c_3(c_4(c_2(c_1(c_0(c_1(c_5(c_0(c_2(c_1(c_3(c_4(c_2(c_4(c_1(x1)))))))))))))))))))))) -> 0(4(5(4(5(4(5(3(4(2(1(0(1(5(0(2(1(3(4(2(1(4(x1))))))))))))))))))))))
   3(c_0(c_2(c_3(c_3(c_5(c_4(c_5(c_1(c_4(x1)))))))))) -> 3(0(3(2(3(5(4(5(1(4(x1))))))))))
   0(c_5(c_0(c_4(c_3(c_2(c_3(c_2(c_4(c_3(c_3(x1))))))))))) -> 3(5(0(0(5(5(1(5(0(0(x1))))))))))
   0(c_3(c_3(c_0(c_0(c_2(c_0(c_5(c_2(c_4(c_2(x1))))))))))) -> 5(4(5(0(3(0(3(0(5(0(x1))))))))))
   1(c_5(c_3(c_5(c_1(c_1(c_4(c_4(c_3(c_0(c_2(x1))))))))))) -> 0(5(0(0(0(0(2(0(1(3(x1))))))))))
   4(c_5(c_4(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_0(x1))))))))))) -> 3(5(3(4(0(3(5(2(4(0(x1))))))))))
   4(c_1(c_1(c_2(c_4(c_4(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_4(c_0(c_0(c_3(c_0(c_4(c_4(c_2(c_3(c_3(x1))))))))))))))))))))))) -> 4(1(1(2(4(4(2(0(0(2(0(2(1(4(0(0(3(0(4(4(2(3(3(x1)))))))))))))))))))))))
   2(c_0(c_5(c_2(c_1(c_1(c_3(c_1(c_3(c_4(c_1(x1))))))))))) -> 2(3(1(3(1(4(0(3(1(3(x1))))))))))
   4(c_0(c_1(c_2(c_0(c_4(c_3(c_2(c_3(c_2(c_0(c_4(c_0(c_5(c_0(c_4(c_3(x1))))))))))))))))) -> 4(0(1(2(0(4(3(2(2(3(0(4(0(5(0(4(3(x1)))))))))))))))))
   3(c_0(c_0(c_1(c_5(c_1(c_5(x1))))))) -> 3(0(0(5(1(1(5(x1)))))))
   3(c_0(c_0(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_0(x1))))))))))) -> 2(4(3(4(0(0(3(1(0(4(x1))))))))))
   3(c_3(c_2(c_0(c_2(c_2(c_0(c_0(c_5(c_5(c_5(c_4(c_2(c_0(c_1(c_3(c_4(c_5(c_5(x1))))))))))))))))))) -> 3(3(2(0(2(2(0(0(5(5(4(5(2(0(1(3(4(5(5(x1)))))))))))))))))))
   5(c_5(c_1(c_3(c_0(c_4(c_5(x1))))))) -> 5(5(3(1(0(4(5(x1)))))))
   5(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(x1))))))))))) -> 1(0(3(5(3(5(0(1(1(5(x1))))))))))
   5(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(x1))))))))))) -> 2(0(1(2(2(2(2(0(2(0(x1))))))))))
   4(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(x1))))))))))))))))))))))))))) -> 4(4(0(2(0(1(1(2(2(2(5(2(2(3(2(0(2(4(0(3(3(0(3(5(0(5(1(x1)))))))))))))))))))))))))))
   4(c_3(c_5(c_5(c_1(c_4(c_4(c_0(c_0(c_3(x1)))))))))) -> 4(3(5(5(1(4(0(4(0(3(x1))))))))))
   5(c_4(c_5(c_3(c_4(c_0(c_0(c_1(c_2(c_0(c_0(c_4(c_0(c_0(c_3(c_5(c_3(x1))))))))))))))))) -> 5(4(5(3(4(0(0(1(2(0(0(4(0(3(0(5(3(x1)))))))))))))))))
   4(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(x1))))))))))) -> 2(0(0(0(3(3(1(2(5(4(x1))))))))))
   2(c_3(c_0(c_3(c_3(c_3(c_3(c_2(c_5(c_5(c_4(c_0(c_0(c_3(c_5(x1))))))))))))))) -> 2(3(0(3(3(3(3(5(2(5(4(0(3(0(5(x1)))))))))))))))
   3(c_2(c_0(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(x1))))))))))) -> 0(2(3(1(3(1(1(2(5(5(x1))))))))))
   1(c_1(c_0(c_2(c_1(c_3(c_1(c_1(c_5(c_1(c_0(c_2(c_5(c_4(c_4(x1))))))))))))))) -> 1(1(0(1(2(3(1(1(5(1(0(2(5(4(4(x1)))))))))))))))
   2(c_5(c_1(c_3(c_0(c_4(c_1(c_2(c_2(c_1(c_1(x1))))))))))) -> 0(3(3(3(3(5(1(1(1(0(x1))))))))))
   3(c_5(c_4(c_2(c_4(c_1(c_5(c_1(c_5(c_5(c_2(c_1(x1)))))))))))) -> 2(5(5(3(1(2(4(1(5(1(5(4(x1))))))))))))
   4(c_2(c_1(c_5(c_1(c_5(c_1(c_3(c_5(c_0(c_2(x1))))))))))) -> 1(3(5(3(2(5(2(0(4(4(x1))))))))))
   4(c_3(c_2(c_5(c_3(c_1(c_4(c_0(c_3(c_5(c_2(x1))))))))))) -> 0(3(1(2(3(5(1(0(2(3(x1))))))))))
   0(c_1(c_0(c_2(c_3(c_4(x1)))))) -> 0(1(0(3(2(4(x1))))))
   4(c_3(c_3(c_0(c_2(c_4(c_2(c_3(c_4(c_3(c_5(c_2(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_0(c_0(c_2(c_5(c_2(x1)))))))))))))))))))))))) -> 4(3(0(3(2(4(2(3(4(3(5(2(4(2(2(0(0(3(0(0(0(2(5(2(x1))))))))))))))))))))))))
   0(c_1(c_4(c_0(c_4(c_2(c_3(c_4(c_4(c_1(c_3(x1))))))))))) -> 3(1(5(3(2(2(1(1(5(0(x1))))))))))
   1(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))) -> 1(2(0(2(4(5(0(1(5(2(x1))))))))))
   2(c_4(c_3(c_2(c_0(c_1(c_5(c_2(x1)))))))) -> 2(4(2(3(1(0(5(2(x1))))))))
   1(c_0(c_3(c_5(c_4(c_1(x1)))))) -> 1(1(3(0(5(4(x1))))))
   0(c_2(c_1(c_3(c_4(c_3(c_5(c_4(c_3(c_5(c_5(x1))))))))))) -> 1(0(0(1(1(4(1(4(1(3(x1))))))))))
   3(c_2(c_5(c_1(c_5(c_4(c_2(c_4(c_5(c_0(c_5(c_5(x1)))))))))))) -> 0(2(5(1(0(0(5(1(5(1(x1))))))))))
   3(c_4(c_0(c_0(c_4(c_5(c_1(c_0(c_1(c_0(c_3(x1))))))))))) -> 1(5(0(0(1(4(3(4(4(1(x1))))))))))
   2(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_4(x1))))))))))) -> 0(1(5(1(5(0(2(5(4(0(x1))))))))))
   0(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_4(c_0(c_1(x1))))))))))) -> 5(4(3(1(5(0(0(0(4(2(x1))))))))))
   3(c_0(c_5(c_5(c_2(c_5(c_3(c_2(c_3(c_2(c_4(x1))))))))))) -> 2(3(3(0(0(5(0(0(0(4(x1))))))))))
   2(c_3(c_2(c_0(c_2(c_4(c_1(c_3(c_5(c_4(c_3(x1))))))))))) -> 1(0(3(5(2(0(5(4(3(3(x1))))))))))
   3(c_1(c_0(c_1(c_1(c_2(c_4(c_4(c_5(c_1(c_0(x1))))))))))) -> 0(2(1(1(5(3(0(0(0(1(x1))))))))))
   5(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(x1))))))))))) -> 3(5(5(1(1(3(3(4(0(4(x1))))))))))
   3(c_1(c_3(c_4(c_2(c_5(c_3(c_1(c_0(c_0(c_5(c_1(c_5(c_4(c_5(c_3(c_2(c_2(c_5(c_4(c_4(c_0(c_4(c_2(c_0(c_5(c_0(c_0(c_5(x1))))))))))))))))))))))))))))) -> 3(1(3(4(2(5(3(1(0(0(5(1(5(4(5(2(3(2(5(4(4(0(4(2(0(5(0(0(5(x1)))))))))))))))))))))))))))))
   5(c_2(c_5(c_2(c_5(c_5(c_4(c_0(c_0(c_0(c_0(x1))))))))))) -> 3(0(1(1(1(3(1(3(0(4(x1))))))))))
   1(c_4(c_1(c_4(c_0(c_1(c_0(c_1(c_5(c_4(c_1(x1))))))))))) -> 3(0(3(2(2(0(1(3(0(2(x1))))))))))
   3(c_5(c_4(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_3(x1))))))))))) -> 5(1(4(3(0(4(3(0(5(2(x1))))))))))
   0(c_2(c_1(c_3(c_2(c_0(c_5(c_4(c_2(c_0(c_5(x1))))))))))) -> 2(2(1(1(3(1(4(5(4(0(x1))))))))))
   4(c_0(c_4(c_1(c_0(c_1(c_4(c_5(c_0(c_0(c_4(c_5(c_4(c_1(c_5(c_0(c_0(c_2(c_4(c_5(c_0(c_3(c_1(c_4(c_4(c_1(c_4(c_0(c_0(x1))))))))))))))))))))))))))))) -> 4(0(4(1(0(1(5(4(0(0(4(5(4(1(5(0(0(2(4(5(0(3(1(4(4(1(4(0(0(x1)))))))))))))))))))))))))))))
   3(c_1(c_2(c_5(c_2(c_0(c_3(c_3(c_1(c_5(c_1(c_5(c_2(c_1(c_5(c_3(c_3(c_0(c_3(c_4(c_4(c_2(c_2(c_4(c_1(c_0(c_3(c_0(c_0(c_5(x1)))))))))))))))))))))))))))))) -> 3(1(2(5(2(3(0(3(1(5(1(5(2(1(5(3(3(0(3(4(4(2(2(4(1(0(3(0(0(5(x1))))))))))))))))))))))))))))))
   1(c_3(c_2(c_3(c_3(c_5(c_1(c_1(c_0(c_4(c_4(c_5(x1)))))))))))) -> 5(2(0(4(5(1(3(5(5(0(x1))))))))))
   2(c_3(c_4(c_5(c_5(c_4(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_2(c_0(x1))))))))))))))) -> 2(3(4(5(5(4(0(5(0(0(5(2(4(4(0(x1)))))))))))))))
   2(c_5(c_3(c_3(c_0(c_4(c_5(c_2(c_0(c_3(c_0(x1))))))))))) -> 2(5(3(3(4(0(5(2(0(3(0(x1)))))))))))
   3(c_4(c_2(c_3(c_2(c_4(c_2(c_5(c_2(c_0(c_4(x1))))))))))) -> 2(5(5(2(4(4(2(4(1(3(x1))))))))))
   4(c_4(c_5(c_3(c_3(c_2(c_3(c_1(c_3(c_3(c_0(c_1(c_5(c_2(x1)))))))))))))) -> 4(4(5(3(3(2(3(1(3(0(3(1(5(2(x1))))))))))))))
   1(c_5(c_2(c_1(c_1(c_2(c_4(c_0(c_0(c_5(c_5(c_0(c_4(c_2(c_4(c_5(c_0(c_2(c_1(x1))))))))))))))))))) -> 1(5(2(1(1(2(4(0(0(5(5(0(4(2(5(4(0(2(1(x1)))))))))))))))))))
   5(c_1(c_1(c_1(c_1(c_4(c_1(c_1(c_2(c_0(c_5(c_5(c_5(c_5(c_1(c_5(c_1(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(x1))))))))))))))))))))))))) -> 5(1(1(1(1(4(1(1(2(5(0(5(5(5(1(5(1(0(1(3(2(2(3(0(2(x1)))))))))))))))))))))))))
   3(c_3(c_4(c_2(c_5(c_0(c_0(c_5(c_3(c_3(c_2(x1))))))))))) -> 4(3(1(1(2(1(0(2(2(3(x1))))))))))
   4(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(x1))))))))))) -> 3(1(4(2(1(2(2(2(5(2(x1))))))))))
   0(c_5(c_5(c_0(c_4(c_5(c_0(c_1(c_0(c_0(c_4(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x1))))))))))))))))))))))))))) -> 5(4(0(5(0(5(0(0(1(0(2(2(2(1(4(0(3(2(1(1(0(2(2(3(1(1(1(x1)))))))))))))))))))))))))))
   1(c_0(c_0(c_5(c_4(c_2(c_5(c_2(c_0(c_2(c_0(x1))))))))))) -> 3(0(0(5(4(5(5(4(4(2(x1))))))))))
   4(c_3(c_1(c_5(c_3(c_0(c_3(c_5(c_3(c_4(c_3(x1))))))))))) -> 1(4(1(5(3(2(5(5(2(4(x1))))))))))
   2(c_5(c_3(c_2(c_0(c_3(c_2(c_2(c_2(c_4(c_5(x1))))))))))) -> 3(1(3(0(2(0(4(2(0(4(x1))))))))))
   5(c_3(c_1(c_2(c_4(c_4(c_3(c_2(c_4(c_3(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_5(c_4(c_4(c_4(c_3(c_4(c_0(x1)))))))))))))))))))))))) -> 5(3(1(2(4(4(3(2(5(4(3(0(0(0(5(4(4(5(4(4(4(4(3(0(x1))))))))))))))))))))))))
   3(c_3(c_5(c_0(c_1(c_2(c_1(c_0(c_4(c_3(c_0(x1))))))))))) -> 2(3(1(5(2(5(0(0(3(1(x1))))))))))
   1(c_5(c_2(c_3(c_4(c_1(c_2(c_5(c_4(c_4(c_2(c_1(c_5(c_0(c_0(c_0(c_3(c_3(c_4(c_3(c_2(c_5(c_0(c_5(c_0(c_3(x1)))))))))))))))))))))))))) -> 1(5(2(3(4(1(2(5(4(4(2(1(5(0(0(3(0(3(4(3(2(5(0(5(0(3(x1))))))))))))))))))))))))))
   2(c_0(c_3(c_1(c_3(c_1(c_5(c_0(c_5(c_1(c_5(x1))))))))))) -> 5(3(1(3(5(2(4(0(4(4(x1))))))))))
   1(c_4(c_4(c_2(c_1(c_2(c_2(c_3(c_2(c_5(c_5(x1))))))))))) -> 1(1(1(5(1(0(1(5(4(2(x1))))))))))
   3(c_1(c_0(c_4(c_3(c_1(c_4(c_2(c_0(c_4(c_5(c_4(c_2(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))) -> 3(1(0(4(3(1(2(4(0(4(5(4(2(0(0(1(0(2(0(x1)))))))))))))))))))
   4(c_3(c_2(c_4(c_5(c_2(c_3(c_3(c_1(c_4(c_0(x1))))))))))) -> 4(3(2(1(4(0(2(4(2(1(x1))))))))))
   4(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(x1))))))))))))))))))))))))) -> 4(3(5(5(3(4(4(5(3(0(0(4(2(5(0(2(5(3(1(3(1(5(0(0(4(x1)))))))))))))))))))))))))
   3(c_4(c_2(c_0(c_4(c_3(c_2(c_1(c_0(c_5(c_2(x1))))))))))) -> 1(0(3(3(2(0(2(3(1(3(x1))))))))))
   5(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(x1))))))))))) -> 2(1(4(2(0(3(2(1(3(0(x1))))))))))
   3(c_2(c_5(c_0(c_2(c_1(c_0(c_5(c_4(c_4(c_3(c_5(c_4(c_2(c_1(c_1(c_1(c_4(c_1(c_5(c_3(x1))))))))))))))))))))) -> 3(2(0(5(2(1(0(5(4(4(3(5(4(2(1(1(1(4(1(5(3(x1)))))))))))))))))))))
   3(c_3(c_2(c_3(c_5(c_0(c_1(c_5(c_5(c_2(c_4(x1))))))))))) -> 3(0(1(5(4(4(0(5(2(5(x1))))))))))
   2(c_3(c_4(c_4(c_3(c_0(c_1(c_2(c_3(c_4(c_4(c_4(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(x1))))))))))))))))))))))) -> 3(1(4(4(2(4(3(0(3(2(4(2(4(1(0(0(3(1(1(3(1(3(3(x1)))))))))))))))))))))))
   3(c_1(c_0(c_3(c_0(c_2(c_4(c_1(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_4(c_2(c_3(c_2(c_5(c_0(c_3(c_2(c_4(c_2(c_0(c_5(x1)))))))))))))))))))))))))))) -> 3(1(0(0(3(2(4(1(2(1(4(1(0(2(4(2(4(2(3(2(5(0(3(2(4(2(0(5(x1))))))))))))))))))))))))))))
   0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_3(c_1(c_0(x1))))))))))) -> 3(1(0(2(2(1(4(1(5(1(x1))))))))))
   4(c_1(c_3(c_0(c_1(c_0(c_4(c_3(c_3(c_1(c_1(x1))))))))))) -> 4(2(3(4(0(3(3(2(5(0(x1))))))))))

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(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))
   5(x0) -> c_5(x0)
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)
   3(x0) -> c_3(x0)
   4(x0) -> c_4(x0)

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

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

(20)
Obligation:
The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   1(c_2(c_0(c_3(c_0(c_0(c_4(c_4(c_4(c_1(c_5(x1))))))))))) -> 1(0(0(2(4(4(0(4(2(3(x1)))))))))) [1]
   4(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(x1))))))))))))))))))))) -> 4(2(3(5(4(2(4(3(1(2(0(1(5(0(3(5(3(1(2(5(5(x1))))))))))))))))))))) [1]
   2(c_1(c_4(c_1(c_2(c_2(c_0(c_5(c_1(c_2(c_5(c_1(c_2(c_1(c_1(c_4(c_5(c_5(c_3(c_5(c_3(c_1(c_2(c_1(c_1(c_0(c_3(c_1(x1)))))))))))))))))))))))))))) -> 2(1(4(1(2(2(0(5(1(2(5(2(1(1(1(4(5(5(3(5(3(1(2(1(1(0(3(1(x1)))))))))))))))))))))))))))) [1]
   1(c_4(c_0(c_4(c_0(c_2(c_4(c_1(c_3(c_5(c_2(c_0(c_1(c_2(c_5(c_0(c_1(c_1(c_3(c_4(c_5(c_5(c_4(c_3(c_0(c_0(x1)))))))))))))))))))))))))) -> 1(4(0(4(0(2(4(1(3(5(2(0(1(2(5(0(1(1(3(4(5(5(3(4(0(0(x1)))))))))))))))))))))))))) [1]
   0(c_5(c_0(c_4(c_1(c_3(c_4(c_4(c_3(c_3(c_3(x1))))))))))) -> 0(0(3(0(3(4(0(4(4(4(x1)))))))))) [1]
   3(c_4(c_1(c_4(c_5(c_1(c_3(c_0(c_3(c_5(c_0(c_0(c_5(c_5(c_0(c_4(c_4(c_0(c_2(c_1(x1)))))))))))))))))))) -> 3(4(1(4(5(1(3(0(5(3(0(0(5(5(4(0(4(0(2(1(x1)))))))))))))))))))) [1]
   5(c_0(c_1(c_3(c_4(c_2(c_4(c_5(c_5(c_1(c_2(c_3(c_1(c_1(c_0(c_4(c_1(c_5(c_1(c_5(c_4(c_2(c_4(c_2(x1)))))))))))))))))))))))) -> 5(0(3(1(4(2(4(5(5(1(2(3(1(1(0(4(1(5(1(5(4(2(4(2(x1)))))))))))))))))))))))) [1]
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   5(c_5(c_1(c_3(c_0(c_4(c_5(x1))))))) -> 5(5(3(1(0(4(5(x1))))))) [1]
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   0(c_1(c_4(c_0(c_4(c_2(c_3(c_4(c_4(c_1(c_3(x1))))))))))) -> 3(1(5(3(2(2(1(1(5(0(x1)))))))))) [1]
   1(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))) -> 1(2(0(2(4(5(0(1(5(2(x1)))))))))) [1]
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   3(c_1(c_0(c_1(c_1(c_2(c_4(c_4(c_5(c_1(c_0(x1))))))))))) -> 0(2(1(1(5(3(0(0(0(1(x1)))))))))) [1]
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   3(c_2(c_5(c_0(c_2(c_1(c_0(c_5(c_4(c_4(c_3(c_5(c_4(c_2(c_1(c_1(c_1(c_4(c_1(c_5(c_3(x1))))))))))))))))))))) -> 3(2(0(5(2(1(0(5(4(4(3(5(4(2(1(1(1(4(1(5(3(x1))))))))))))))))))))) [1]
   3(c_3(c_2(c_3(c_5(c_0(c_1(c_5(c_5(c_2(c_4(x1))))))))))) -> 3(0(1(5(4(4(0(5(2(5(x1)))))))))) [1]
   2(c_3(c_4(c_4(c_3(c_0(c_1(c_2(c_3(c_4(c_4(c_4(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(x1))))))))))))))))))))))) -> 3(1(4(4(2(4(3(0(3(2(4(2(4(1(0(0(3(1(1(3(1(3(3(x1))))))))))))))))))))))) [1]
   3(c_1(c_0(c_3(c_0(c_2(c_4(c_1(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_4(c_2(c_3(c_2(c_5(c_0(c_3(c_2(c_4(c_2(c_0(c_5(x1)))))))))))))))))))))))))))) -> 3(1(0(0(3(2(4(1(2(1(4(1(0(2(4(2(4(2(3(2(5(0(3(2(4(2(0(5(x1)))))))))))))))))))))))))))) [1]
   0(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_3(c_1(c_0(x1))))))))))) -> 3(1(0(2(2(1(4(1(5(1(x1)))))))))) [1]
   4(c_1(c_3(c_0(c_1(c_0(c_4(c_3(c_3(c_1(c_1(x1))))))))))) -> 4(2(3(4(0(3(3(2(5(0(x1)))))))))) [1]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3(encArg(x_1)) [0]
   encArg(cons_5(x_1)) -> 5(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4(encArg(x_1)) [0]
   encode_0(x_1) -> 0(encArg(x_1)) [0]
   encode_1(x_1) -> 1(encArg(x_1)) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   encode_3(x_1) -> 3(encArg(x_1)) [0]
   encode_4(x_1) -> 4(encArg(x_1)) [0]
   encode_5(x_1) -> 5(encArg(x_1)) [0]
   5(x0) -> c_5(x0) [0]
   0(x0) -> c_0(x0) [0]
   1(x0) -> c_1(x0) [0]
   2(x0) -> c_2(x0) [0]
   3(x0) -> c_3(x0) [0]
   4(x0) -> c_4(x0) [0]

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

(21) CpxWeightedTrsRenamingProof (BOTH BOUNDS(ID, ID))
Renamed defined symbols to avoid conflicts with arithmetic symbols:

1 => 1'
3 => 3'
2 => 2'
4 => 4'
0 => 0'
5 => 5'

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

(22)
Obligation:
The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   1'(c_2(c_0(c_3(c_0(c_0(c_4(c_4(c_4(c_1(c_5(x1))))))))))) -> 1'(0'(0'(2'(4'(4'(0'(4'(2'(3'(x1)))))))))) [1]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(x1))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(x1))))))))))))))))))))) [1]
   2'(c_1(c_4(c_1(c_2(c_2(c_0(c_5(c_1(c_2(c_5(c_1(c_2(c_1(c_1(c_4(c_5(c_5(c_3(c_5(c_3(c_1(c_2(c_1(c_1(c_0(c_3(c_1(x1)))))))))))))))))))))))))))) -> 2'(1'(4'(1'(2'(2'(0'(5'(1'(2'(5'(2'(1'(1'(1'(4'(5'(5'(3'(5'(3'(1'(2'(1'(1'(0'(3'(1'(x1)))))))))))))))))))))))))))) [1]
   1'(c_4(c_0(c_4(c_0(c_2(c_4(c_1(c_3(c_5(c_2(c_0(c_1(c_2(c_5(c_0(c_1(c_1(c_3(c_4(c_5(c_5(c_4(c_3(c_0(c_0(x1)))))))))))))))))))))))))) -> 1'(4'(0'(4'(0'(2'(4'(1'(3'(5'(2'(0'(1'(2'(5'(0'(1'(1'(3'(4'(5'(5'(3'(4'(0'(0'(x1)))))))))))))))))))))))))) [1]
   0'(c_5(c_0(c_4(c_1(c_3(c_4(c_4(c_3(c_3(c_3(x1))))))))))) -> 0'(0'(3'(0'(3'(4'(0'(4'(4'(4'(x1)))))))))) [1]
   3'(c_4(c_1(c_4(c_5(c_1(c_3(c_0(c_3(c_5(c_0(c_0(c_5(c_5(c_0(c_4(c_4(c_0(c_2(c_1(x1)))))))))))))))))))) -> 3'(4'(1'(4'(5'(1'(3'(0'(5'(3'(0'(0'(5'(5'(4'(0'(4'(0'(2'(1'(x1)))))))))))))))))))) [1]
   5'(c_0(c_1(c_3(c_4(c_2(c_4(c_5(c_5(c_1(c_2(c_3(c_1(c_1(c_0(c_4(c_1(c_5(c_1(c_5(c_4(c_2(c_4(c_2(x1)))))))))))))))))))))))) -> 5'(0'(3'(1'(4'(2'(4'(5'(5'(1'(2'(3'(1'(1'(0'(4'(1'(5'(1'(5'(4'(2'(4'(2'(x1)))))))))))))))))))))))) [1]
   4'(c_1(c_5(c_4(c_4(c_0(c_2(c_0(c_0(c_0(c_4(x1))))))))))) -> 0'(3'(3'(2'(4'(2'(1'(3'(3'(5'(x1)))))))))) [1]
   2'(c_0(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_2(c_4(x1))))))))))) -> 5'(5'(3'(1'(0'(5'(5'(5'(3'(0'(x1)))))))))) [1]
   1'(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_4(c_0(c_1(c_0(c_3(c_4(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_4(c_0(c_5(c_2(c_1(c_4(c_5(c_0(x1))))))))))))))))))))))))))))) -> 1'(3'(0'(3'(3'(3'(0'(4'(1'(0'(1'(0'(3'(4'(0'(1'(0'(4'(2'(1'(1'(4'(0'(5'(2'(1'(4'(5'(0'(x1))))))))))))))))))))))))))))) [1]
   5'(c_5(c_4(c_1(c_2(c_3(c_5(c_3(c_5(c_3(x1)))))))))) -> 5'(5'(1'(4'(5'(2'(3'(3'(5'(3'(x1)))))))))) [1]
   2'(c_5(c_5(c_3(c_1(c_5(c_0(c_2(c_2(c_3(c_3(x1))))))))))) -> 4'(3'(4'(1'(1'(0'(0'(5'(0'(2'(x1)))))))))) [1]
   0'(c_5(c_0(c_0(c_2(c_4(c_4(c_1(c_5(c_0(c_3(x1))))))))))) -> 1'(4'(3'(4'(3'(3'(2'(4'(3'(3'(x1)))))))))) [1]
   0'(c_4(c_5(c_5(c_4(c_4(c_5(c_3(c_4(c_2(c_1(c_0(c_1(c_5(c_0(c_2(c_1(c_3(c_4(c_2(c_4(c_1(x1)))))))))))))))))))))) -> 0'(4'(5'(4'(5'(4'(5'(3'(4'(2'(1'(0'(1'(5'(0'(2'(1'(3'(4'(2'(1'(4'(x1)))))))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_3(c_5(c_4(c_5(c_1(c_4(x1)))))))))) -> 3'(0'(3'(2'(3'(5'(4'(5'(1'(4'(x1)))))))))) [1]
   0'(c_5(c_0(c_4(c_3(c_2(c_3(c_2(c_4(c_3(c_3(x1))))))))))) -> 3'(5'(0'(0'(5'(5'(1'(5'(0'(0'(x1)))))))))) [1]
   0'(c_3(c_3(c_0(c_0(c_2(c_0(c_5(c_2(c_4(c_2(x1))))))))))) -> 5'(4'(5'(0'(3'(0'(3'(0'(5'(0'(x1)))))))))) [1]
   1'(c_5(c_3(c_5(c_1(c_1(c_4(c_4(c_3(c_0(c_2(x1))))))))))) -> 0'(5'(0'(0'(0'(0'(2'(0'(1'(3'(x1)))))))))) [1]
   4'(c_5(c_4(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_0(x1))))))))))) -> 3'(5'(3'(4'(0'(3'(5'(2'(4'(0'(x1)))))))))) [1]
   4'(c_1(c_1(c_2(c_4(c_4(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_4(c_0(c_0(c_3(c_0(c_4(c_4(c_2(c_3(c_3(x1))))))))))))))))))))))) -> 4'(1'(1'(2'(4'(4'(2'(0'(0'(2'(0'(2'(1'(4'(0'(0'(3'(0'(4'(4'(2'(3'(3'(x1))))))))))))))))))))))) [1]
   2'(c_0(c_5(c_2(c_1(c_1(c_3(c_1(c_3(c_4(c_1(x1))))))))))) -> 2'(3'(1'(3'(1'(4'(0'(3'(1'(3'(x1)))))))))) [1]
   4'(c_0(c_1(c_2(c_0(c_4(c_3(c_2(c_3(c_2(c_0(c_4(c_0(c_5(c_0(c_4(c_3(x1))))))))))))))))) -> 4'(0'(1'(2'(0'(4'(3'(2'(2'(3'(0'(4'(0'(5'(0'(4'(3'(x1))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_5(c_1(c_5(x1))))))) -> 3'(0'(0'(5'(1'(1'(5'(x1))))))) [1]
   3'(c_0(c_0(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_0(x1))))))))))) -> 2'(4'(3'(4'(0'(0'(3'(1'(0'(4'(x1)))))))))) [1]
   3'(c_3(c_2(c_0(c_2(c_2(c_0(c_0(c_5(c_5(c_5(c_4(c_2(c_0(c_1(c_3(c_4(c_5(c_5(x1))))))))))))))))))) -> 3'(3'(2'(0'(2'(2'(0'(0'(5'(5'(4'(5'(2'(0'(1'(3'(4'(5'(5'(x1))))))))))))))))))) [1]
   5'(c_5(c_1(c_3(c_0(c_4(c_5(x1))))))) -> 5'(5'(3'(1'(0'(4'(5'(x1))))))) [1]
   5'(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(x1))))))))))) -> 1'(0'(3'(5'(3'(5'(0'(1'(1'(5'(x1)))))))))) [1]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(x1))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(x1)))))))))) [1]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(x1))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(x1))))))))))))))))))))))))))) [1]
   4'(c_3(c_5(c_5(c_1(c_4(c_4(c_0(c_0(c_3(x1)))))))))) -> 4'(3'(5'(5'(1'(4'(0'(4'(0'(3'(x1)))))))))) [1]
   5'(c_4(c_5(c_3(c_4(c_0(c_0(c_1(c_2(c_0(c_0(c_4(c_0(c_0(c_3(c_5(c_3(x1))))))))))))))))) -> 5'(4'(5'(3'(4'(0'(0'(1'(2'(0'(0'(4'(0'(3'(0'(5'(3'(x1))))))))))))))))) [1]
   4'(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(x1))))))))))) -> 2'(0'(0'(0'(3'(3'(1'(2'(5'(4'(x1)))))))))) [1]
   2'(c_3(c_0(c_3(c_3(c_3(c_3(c_2(c_5(c_5(c_4(c_0(c_0(c_3(c_5(x1))))))))))))))) -> 2'(3'(0'(3'(3'(3'(3'(5'(2'(5'(4'(0'(3'(0'(5'(x1))))))))))))))) [1]
   3'(c_2(c_0(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(x1))))))))))) -> 0'(2'(3'(1'(3'(1'(1'(2'(5'(5'(x1)))))))))) [1]
   1'(c_1(c_0(c_2(c_1(c_3(c_1(c_1(c_5(c_1(c_0(c_2(c_5(c_4(c_4(x1))))))))))))))) -> 1'(1'(0'(1'(2'(3'(1'(1'(5'(1'(0'(2'(5'(4'(4'(x1))))))))))))))) [1]
   2'(c_5(c_1(c_3(c_0(c_4(c_1(c_2(c_2(c_1(c_1(x1))))))))))) -> 0'(3'(3'(3'(3'(5'(1'(1'(1'(0'(x1)))))))))) [1]
   3'(c_5(c_4(c_2(c_4(c_1(c_5(c_1(c_5(c_5(c_2(c_1(x1)))))))))))) -> 2'(5'(5'(3'(1'(2'(4'(1'(5'(1'(5'(4'(x1)))))))))))) [1]
   4'(c_2(c_1(c_5(c_1(c_5(c_1(c_3(c_5(c_0(c_2(x1))))))))))) -> 1'(3'(5'(3'(2'(5'(2'(0'(4'(4'(x1)))))))))) [1]
   4'(c_3(c_2(c_5(c_3(c_1(c_4(c_0(c_3(c_5(c_2(x1))))))))))) -> 0'(3'(1'(2'(3'(5'(1'(0'(2'(3'(x1)))))))))) [1]
   0'(c_1(c_0(c_2(c_3(c_4(x1)))))) -> 0'(1'(0'(3'(2'(4'(x1)))))) [1]
   4'(c_3(c_3(c_0(c_2(c_4(c_2(c_3(c_4(c_3(c_5(c_2(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_0(c_0(c_2(c_5(c_2(x1)))))))))))))))))))))))) -> 4'(3'(0'(3'(2'(4'(2'(3'(4'(3'(5'(2'(4'(2'(2'(0'(0'(3'(0'(0'(0'(2'(5'(2'(x1)))))))))))))))))))))))) [1]
   0'(c_1(c_4(c_0(c_4(c_2(c_3(c_4(c_4(c_1(c_3(x1))))))))))) -> 3'(1'(5'(3'(2'(2'(1'(1'(5'(0'(x1)))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))) -> 1'(2'(0'(2'(4'(5'(0'(1'(5'(2'(x1)))))))))) [1]
   2'(c_4(c_3(c_2(c_0(c_1(c_5(c_2(x1)))))))) -> 2'(4'(2'(3'(1'(0'(5'(2'(x1)))))))) [1]
   1'(c_0(c_3(c_5(c_4(c_1(x1)))))) -> 1'(1'(3'(0'(5'(4'(x1)))))) [1]
   0'(c_2(c_1(c_3(c_4(c_3(c_5(c_4(c_3(c_5(c_5(x1))))))))))) -> 1'(0'(0'(1'(1'(4'(1'(4'(1'(3'(x1)))))))))) [1]
   3'(c_2(c_5(c_1(c_5(c_4(c_2(c_4(c_5(c_0(c_5(c_5(x1)))))))))))) -> 0'(2'(5'(1'(0'(0'(5'(1'(5'(1'(x1)))))))))) [1]
   3'(c_4(c_0(c_0(c_4(c_5(c_1(c_0(c_1(c_0(c_3(x1))))))))))) -> 1'(5'(0'(0'(1'(4'(3'(4'(4'(1'(x1)))))))))) [1]
   2'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_4(x1))))))))))) -> 0'(1'(5'(1'(5'(0'(2'(5'(4'(0'(x1)))))))))) [1]
   0'(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_4(c_0(c_1(x1))))))))))) -> 5'(4'(3'(1'(5'(0'(0'(0'(4'(2'(x1)))))))))) [1]
   3'(c_0(c_5(c_5(c_2(c_5(c_3(c_2(c_3(c_2(c_4(x1))))))))))) -> 2'(3'(3'(0'(0'(5'(0'(0'(0'(4'(x1)))))))))) [1]
   2'(c_3(c_2(c_0(c_2(c_4(c_1(c_3(c_5(c_4(c_3(x1))))))))))) -> 1'(0'(3'(5'(2'(0'(5'(4'(3'(3'(x1)))))))))) [1]
   3'(c_1(c_0(c_1(c_1(c_2(c_4(c_4(c_5(c_1(c_0(x1))))))))))) -> 0'(2'(1'(1'(5'(3'(0'(0'(0'(1'(x1)))))))))) [1]
   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(x1))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(4'(x1)))))))))) [1]
   3'(c_1(c_3(c_4(c_2(c_5(c_3(c_1(c_0(c_0(c_5(c_1(c_5(c_4(c_5(c_3(c_2(c_2(c_5(c_4(c_4(c_0(c_4(c_2(c_0(c_5(c_0(c_0(c_5(x1))))))))))))))))))))))))))))) -> 3'(1'(3'(4'(2'(5'(3'(1'(0'(0'(5'(1'(5'(4'(5'(2'(3'(2'(5'(4'(4'(0'(4'(2'(0'(5'(0'(0'(5'(x1))))))))))))))))))))))))))))) [1]
   5'(c_2(c_5(c_2(c_5(c_5(c_4(c_0(c_0(c_0(c_0(x1))))))))))) -> 3'(0'(1'(1'(1'(3'(1'(3'(0'(4'(x1)))))))))) [1]
   1'(c_4(c_1(c_4(c_0(c_1(c_0(c_1(c_5(c_4(c_1(x1))))))))))) -> 3'(0'(3'(2'(2'(0'(1'(3'(0'(2'(x1)))))))))) [1]
   3'(c_5(c_4(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_3(x1))))))))))) -> 5'(1'(4'(3'(0'(4'(3'(0'(5'(2'(x1)))))))))) [1]
   0'(c_2(c_1(c_3(c_2(c_0(c_5(c_4(c_2(c_0(c_5(x1))))))))))) -> 2'(2'(1'(1'(3'(1'(4'(5'(4'(0'(x1)))))))))) [1]
   4'(c_0(c_4(c_1(c_0(c_1(c_4(c_5(c_0(c_0(c_4(c_5(c_4(c_1(c_5(c_0(c_0(c_2(c_4(c_5(c_0(c_3(c_1(c_4(c_4(c_1(c_4(c_0(c_0(x1))))))))))))))))))))))))))))) -> 4'(0'(4'(1'(0'(1'(5'(4'(0'(0'(4'(5'(4'(1'(5'(0'(0'(2'(4'(5'(0'(3'(1'(4'(4'(1'(4'(0'(0'(x1))))))))))))))))))))))))))))) [1]
   3'(c_1(c_2(c_5(c_2(c_0(c_3(c_3(c_1(c_5(c_1(c_5(c_2(c_1(c_5(c_3(c_3(c_0(c_3(c_4(c_4(c_2(c_2(c_4(c_1(c_0(c_3(c_0(c_0(c_5(x1)))))))))))))))))))))))))))))) -> 3'(1'(2'(5'(2'(3'(0'(3'(1'(5'(1'(5'(2'(1'(5'(3'(3'(0'(3'(4'(4'(2'(2'(4'(1'(0'(3'(0'(0'(5'(x1)))))))))))))))))))))))))))))) [1]
   1'(c_3(c_2(c_3(c_3(c_5(c_1(c_1(c_0(c_4(c_4(c_5(x1)))))))))))) -> 5'(2'(0'(4'(5'(1'(3'(5'(5'(0'(x1)))))))))) [1]
   2'(c_3(c_4(c_5(c_5(c_4(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_2(c_0(x1))))))))))))))) -> 2'(3'(4'(5'(5'(4'(0'(5'(0'(0'(5'(2'(4'(4'(0'(x1))))))))))))))) [1]
   2'(c_5(c_3(c_3(c_0(c_4(c_5(c_2(c_0(c_3(c_0(x1))))))))))) -> 2'(5'(3'(3'(4'(0'(5'(2'(0'(3'(0'(x1))))))))))) [1]
   3'(c_4(c_2(c_3(c_2(c_4(c_2(c_5(c_2(c_0(c_4(x1))))))))))) -> 2'(5'(5'(2'(4'(4'(2'(4'(1'(3'(x1)))))))))) [1]
   4'(c_4(c_5(c_3(c_3(c_2(c_3(c_1(c_3(c_3(c_0(c_1(c_5(c_2(x1)))))))))))))) -> 4'(4'(5'(3'(3'(2'(3'(1'(3'(0'(3'(1'(5'(2'(x1)))))))))))))) [1]
   1'(c_5(c_2(c_1(c_1(c_2(c_4(c_0(c_0(c_5(c_5(c_0(c_4(c_2(c_4(c_5(c_0(c_2(c_1(x1))))))))))))))))))) -> 1'(5'(2'(1'(1'(2'(4'(0'(0'(5'(5'(0'(4'(2'(5'(4'(0'(2'(1'(x1))))))))))))))))))) [1]
   5'(c_1(c_1(c_1(c_1(c_4(c_1(c_1(c_2(c_0(c_5(c_5(c_5(c_5(c_1(c_5(c_1(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(x1))))))))))))))))))))))))) -> 5'(1'(1'(1'(1'(4'(1'(1'(2'(5'(0'(5'(5'(5'(1'(5'(1'(0'(1'(3'(2'(2'(3'(0'(2'(x1))))))))))))))))))))))))) [1]
   3'(c_3(c_4(c_2(c_5(c_0(c_0(c_5(c_3(c_3(c_2(x1))))))))))) -> 4'(3'(1'(1'(2'(1'(0'(2'(2'(3'(x1)))))))))) [1]
   4'(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(x1))))))))))) -> 3'(1'(4'(2'(1'(2'(2'(2'(5'(2'(x1)))))))))) [1]
   0'(c_5(c_5(c_0(c_4(c_5(c_0(c_1(c_0(c_0(c_4(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x1))))))))))))))))))))))))))) -> 5'(4'(0'(5'(0'(5'(0'(0'(1'(0'(2'(2'(2'(1'(4'(0'(3'(2'(1'(1'(0'(2'(2'(3'(1'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_5(c_4(c_2(c_5(c_2(c_0(c_2(c_0(x1))))))))))) -> 3'(0'(0'(5'(4'(5'(5'(4'(4'(2'(x1)))))))))) [1]
   4'(c_3(c_1(c_5(c_3(c_0(c_3(c_5(c_3(c_4(c_3(x1))))))))))) -> 1'(4'(1'(5'(3'(2'(5'(5'(2'(4'(x1)))))))))) [1]
   2'(c_5(c_3(c_2(c_0(c_3(c_2(c_2(c_2(c_4(c_5(x1))))))))))) -> 3'(1'(3'(0'(2'(0'(4'(2'(0'(4'(x1)))))))))) [1]
   5'(c_3(c_1(c_2(c_4(c_4(c_3(c_2(c_4(c_3(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_5(c_4(c_4(c_4(c_3(c_4(c_0(x1)))))))))))))))))))))))) -> 5'(3'(1'(2'(4'(4'(3'(2'(5'(4'(3'(0'(0'(0'(5'(4'(4'(5'(4'(4'(4'(4'(3'(0'(x1)))))))))))))))))))))))) [1]
   3'(c_3(c_5(c_0(c_1(c_2(c_1(c_0(c_4(c_3(c_0(x1))))))))))) -> 2'(3'(1'(5'(2'(5'(0'(0'(3'(1'(x1)))))))))) [1]
   1'(c_5(c_2(c_3(c_4(c_1(c_2(c_5(c_4(c_4(c_2(c_1(c_5(c_0(c_0(c_0(c_3(c_3(c_4(c_3(c_2(c_5(c_0(c_5(c_0(c_3(x1)))))))))))))))))))))))))) -> 1'(5'(2'(3'(4'(1'(2'(5'(4'(4'(2'(1'(5'(0'(0'(3'(0'(3'(4'(3'(2'(5'(0'(5'(0'(3'(x1)))))))))))))))))))))))))) [1]
   2'(c_0(c_3(c_1(c_3(c_1(c_5(c_0(c_5(c_1(c_5(x1))))))))))) -> 5'(3'(1'(3'(5'(2'(4'(0'(4'(4'(x1)))))))))) [1]
   1'(c_4(c_4(c_2(c_1(c_2(c_2(c_3(c_2(c_5(c_5(x1))))))))))) -> 1'(1'(1'(5'(1'(0'(1'(5'(4'(2'(x1)))))))))) [1]
   3'(c_1(c_0(c_4(c_3(c_1(c_4(c_2(c_0(c_4(c_5(c_4(c_2(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))) -> 3'(1'(0'(4'(3'(1'(2'(4'(0'(4'(5'(4'(2'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))) [1]
   4'(c_3(c_2(c_4(c_5(c_2(c_3(c_3(c_1(c_4(c_0(x1))))))))))) -> 4'(3'(2'(1'(4'(0'(2'(4'(2'(1'(x1)))))))))) [1]
   4'(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(x1))))))))))))))))))))))))) -> 4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(4'(x1))))))))))))))))))))))))) [1]
   3'(c_4(c_2(c_0(c_4(c_3(c_2(c_1(c_0(c_5(c_2(x1))))))))))) -> 1'(0'(3'(3'(2'(0'(2'(3'(1'(3'(x1)))))))))) [1]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(x1))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(0'(x1)))))))))) [1]
   3'(c_2(c_5(c_0(c_2(c_1(c_0(c_5(c_4(c_4(c_3(c_5(c_4(c_2(c_1(c_1(c_1(c_4(c_1(c_5(c_3(x1))))))))))))))))))))) -> 3'(2'(0'(5'(2'(1'(0'(5'(4'(4'(3'(5'(4'(2'(1'(1'(1'(4'(1'(5'(3'(x1))))))))))))))))))))) [1]
   3'(c_3(c_2(c_3(c_5(c_0(c_1(c_5(c_5(c_2(c_4(x1))))))))))) -> 3'(0'(1'(5'(4'(4'(0'(5'(2'(5'(x1)))))))))) [1]
   2'(c_3(c_4(c_4(c_3(c_0(c_1(c_2(c_3(c_4(c_4(c_4(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(x1))))))))))))))))))))))) -> 3'(1'(4'(4'(2'(4'(3'(0'(3'(2'(4'(2'(4'(1'(0'(0'(3'(1'(1'(3'(1'(3'(3'(x1))))))))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_0(c_2(c_4(c_1(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_4(c_2(c_3(c_2(c_5(c_0(c_3(c_2(c_4(c_2(c_0(c_5(x1)))))))))))))))))))))))))))) -> 3'(1'(0'(0'(3'(2'(4'(1'(2'(1'(4'(1'(0'(2'(4'(2'(4'(2'(3'(2'(5'(0'(3'(2'(4'(2'(0'(5'(x1)))))))))))))))))))))))))))) [1]
   0'(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_3(c_1(c_0(x1))))))))))) -> 3'(1'(0'(2'(2'(1'(4'(1'(5'(1'(x1)))))))))) [1]
   4'(c_1(c_3(c_0(c_1(c_0(c_4(c_3(c_3(c_1(c_1(x1))))))))))) -> 4'(2'(3'(4'(0'(3'(3'(2'(5'(0'(x1)))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encArg(cons_5(x_1)) -> 5'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_4(x_1) -> 4'(encArg(x_1)) [0]
   encode_5(x_1) -> 5'(encArg(x_1)) [0]
   5'(x0) -> c_5(x0) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   4'(x0) -> c_4(x0) [0]

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

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

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

   1'(c_2(c_0(c_3(c_0(c_0(c_4(c_4(c_4(c_1(c_5(x1))))))))))) -> 1'(0'(0'(2'(4'(4'(0'(4'(2'(3'(x1)))))))))) [1]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(x1))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(x1))))))))))))))))))))) [1]
   2'(c_1(c_4(c_1(c_2(c_2(c_0(c_5(c_1(c_2(c_5(c_1(c_2(c_1(c_1(c_4(c_5(c_5(c_3(c_5(c_3(c_1(c_2(c_1(c_1(c_0(c_3(c_1(x1)))))))))))))))))))))))))))) -> 2'(1'(4'(1'(2'(2'(0'(5'(1'(2'(5'(2'(1'(1'(1'(4'(5'(5'(3'(5'(3'(1'(2'(1'(1'(0'(3'(1'(x1)))))))))))))))))))))))))))) [1]
   1'(c_4(c_0(c_4(c_0(c_2(c_4(c_1(c_3(c_5(c_2(c_0(c_1(c_2(c_5(c_0(c_1(c_1(c_3(c_4(c_5(c_5(c_4(c_3(c_0(c_0(x1)))))))))))))))))))))))))) -> 1'(4'(0'(4'(0'(2'(4'(1'(3'(5'(2'(0'(1'(2'(5'(0'(1'(1'(3'(4'(5'(5'(3'(4'(0'(0'(x1)))))))))))))))))))))))))) [1]
   0'(c_5(c_0(c_4(c_1(c_3(c_4(c_4(c_3(c_3(c_3(x1))))))))))) -> 0'(0'(3'(0'(3'(4'(0'(4'(4'(4'(x1)))))))))) [1]
   3'(c_4(c_1(c_4(c_5(c_1(c_3(c_0(c_3(c_5(c_0(c_0(c_5(c_5(c_0(c_4(c_4(c_0(c_2(c_1(x1)))))))))))))))))))) -> 3'(4'(1'(4'(5'(1'(3'(0'(5'(3'(0'(0'(5'(5'(4'(0'(4'(0'(2'(1'(x1)))))))))))))))))))) [1]
   5'(c_0(c_1(c_3(c_4(c_2(c_4(c_5(c_5(c_1(c_2(c_3(c_1(c_1(c_0(c_4(c_1(c_5(c_1(c_5(c_4(c_2(c_4(c_2(x1)))))))))))))))))))))))) -> 5'(0'(3'(1'(4'(2'(4'(5'(5'(1'(2'(3'(1'(1'(0'(4'(1'(5'(1'(5'(4'(2'(4'(2'(x1)))))))))))))))))))))))) [1]
   4'(c_1(c_5(c_4(c_4(c_0(c_2(c_0(c_0(c_0(c_4(x1))))))))))) -> 0'(3'(3'(2'(4'(2'(1'(3'(3'(5'(x1)))))))))) [1]
   2'(c_0(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_2(c_4(x1))))))))))) -> 5'(5'(3'(1'(0'(5'(5'(5'(3'(0'(x1)))))))))) [1]
   1'(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_4(c_0(c_1(c_0(c_3(c_4(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_4(c_0(c_5(c_2(c_1(c_4(c_5(c_0(x1))))))))))))))))))))))))))))) -> 1'(3'(0'(3'(3'(3'(0'(4'(1'(0'(1'(0'(3'(4'(0'(1'(0'(4'(2'(1'(1'(4'(0'(5'(2'(1'(4'(5'(0'(x1))))))))))))))))))))))))))))) [1]
   5'(c_5(c_4(c_1(c_2(c_3(c_5(c_3(c_5(c_3(x1)))))))))) -> 5'(5'(1'(4'(5'(2'(3'(3'(5'(3'(x1)))))))))) [1]
   2'(c_5(c_5(c_3(c_1(c_5(c_0(c_2(c_2(c_3(c_3(x1))))))))))) -> 4'(3'(4'(1'(1'(0'(0'(5'(0'(2'(x1)))))))))) [1]
   0'(c_5(c_0(c_0(c_2(c_4(c_4(c_1(c_5(c_0(c_3(x1))))))))))) -> 1'(4'(3'(4'(3'(3'(2'(4'(3'(3'(x1)))))))))) [1]
   0'(c_4(c_5(c_5(c_4(c_4(c_5(c_3(c_4(c_2(c_1(c_0(c_1(c_5(c_0(c_2(c_1(c_3(c_4(c_2(c_4(c_1(x1)))))))))))))))))))))) -> 0'(4'(5'(4'(5'(4'(5'(3'(4'(2'(1'(0'(1'(5'(0'(2'(1'(3'(4'(2'(1'(4'(x1)))))))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_3(c_5(c_4(c_5(c_1(c_4(x1)))))))))) -> 3'(0'(3'(2'(3'(5'(4'(5'(1'(4'(x1)))))))))) [1]
   0'(c_5(c_0(c_4(c_3(c_2(c_3(c_2(c_4(c_3(c_3(x1))))))))))) -> 3'(5'(0'(0'(5'(5'(1'(5'(0'(0'(x1)))))))))) [1]
   0'(c_3(c_3(c_0(c_0(c_2(c_0(c_5(c_2(c_4(c_2(x1))))))))))) -> 5'(4'(5'(0'(3'(0'(3'(0'(5'(0'(x1)))))))))) [1]
   1'(c_5(c_3(c_5(c_1(c_1(c_4(c_4(c_3(c_0(c_2(x1))))))))))) -> 0'(5'(0'(0'(0'(0'(2'(0'(1'(3'(x1)))))))))) [1]
   4'(c_5(c_4(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_0(x1))))))))))) -> 3'(5'(3'(4'(0'(3'(5'(2'(4'(0'(x1)))))))))) [1]
   4'(c_1(c_1(c_2(c_4(c_4(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_4(c_0(c_0(c_3(c_0(c_4(c_4(c_2(c_3(c_3(x1))))))))))))))))))))))) -> 4'(1'(1'(2'(4'(4'(2'(0'(0'(2'(0'(2'(1'(4'(0'(0'(3'(0'(4'(4'(2'(3'(3'(x1))))))))))))))))))))))) [1]
   2'(c_0(c_5(c_2(c_1(c_1(c_3(c_1(c_3(c_4(c_1(x1))))))))))) -> 2'(3'(1'(3'(1'(4'(0'(3'(1'(3'(x1)))))))))) [1]
   4'(c_0(c_1(c_2(c_0(c_4(c_3(c_2(c_3(c_2(c_0(c_4(c_0(c_5(c_0(c_4(c_3(x1))))))))))))))))) -> 4'(0'(1'(2'(0'(4'(3'(2'(2'(3'(0'(4'(0'(5'(0'(4'(3'(x1))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_5(c_1(c_5(x1))))))) -> 3'(0'(0'(5'(1'(1'(5'(x1))))))) [1]
   3'(c_0(c_0(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_0(x1))))))))))) -> 2'(4'(3'(4'(0'(0'(3'(1'(0'(4'(x1)))))))))) [1]
   3'(c_3(c_2(c_0(c_2(c_2(c_0(c_0(c_5(c_5(c_5(c_4(c_2(c_0(c_1(c_3(c_4(c_5(c_5(x1))))))))))))))))))) -> 3'(3'(2'(0'(2'(2'(0'(0'(5'(5'(4'(5'(2'(0'(1'(3'(4'(5'(5'(x1))))))))))))))))))) [1]
   5'(c_5(c_1(c_3(c_0(c_4(c_5(x1))))))) -> 5'(5'(3'(1'(0'(4'(5'(x1))))))) [1]
   5'(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(x1))))))))))) -> 1'(0'(3'(5'(3'(5'(0'(1'(1'(5'(x1)))))))))) [1]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(x1))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(x1)))))))))) [1]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(x1))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(x1))))))))))))))))))))))))))) [1]
   4'(c_3(c_5(c_5(c_1(c_4(c_4(c_0(c_0(c_3(x1)))))))))) -> 4'(3'(5'(5'(1'(4'(0'(4'(0'(3'(x1)))))))))) [1]
   5'(c_4(c_5(c_3(c_4(c_0(c_0(c_1(c_2(c_0(c_0(c_4(c_0(c_0(c_3(c_5(c_3(x1))))))))))))))))) -> 5'(4'(5'(3'(4'(0'(0'(1'(2'(0'(0'(4'(0'(3'(0'(5'(3'(x1))))))))))))))))) [1]
   4'(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(x1))))))))))) -> 2'(0'(0'(0'(3'(3'(1'(2'(5'(4'(x1)))))))))) [1]
   2'(c_3(c_0(c_3(c_3(c_3(c_3(c_2(c_5(c_5(c_4(c_0(c_0(c_3(c_5(x1))))))))))))))) -> 2'(3'(0'(3'(3'(3'(3'(5'(2'(5'(4'(0'(3'(0'(5'(x1))))))))))))))) [1]
   3'(c_2(c_0(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(x1))))))))))) -> 0'(2'(3'(1'(3'(1'(1'(2'(5'(5'(x1)))))))))) [1]
   1'(c_1(c_0(c_2(c_1(c_3(c_1(c_1(c_5(c_1(c_0(c_2(c_5(c_4(c_4(x1))))))))))))))) -> 1'(1'(0'(1'(2'(3'(1'(1'(5'(1'(0'(2'(5'(4'(4'(x1))))))))))))))) [1]
   2'(c_5(c_1(c_3(c_0(c_4(c_1(c_2(c_2(c_1(c_1(x1))))))))))) -> 0'(3'(3'(3'(3'(5'(1'(1'(1'(0'(x1)))))))))) [1]
   3'(c_5(c_4(c_2(c_4(c_1(c_5(c_1(c_5(c_5(c_2(c_1(x1)))))))))))) -> 2'(5'(5'(3'(1'(2'(4'(1'(5'(1'(5'(4'(x1)))))))))))) [1]
   4'(c_2(c_1(c_5(c_1(c_5(c_1(c_3(c_5(c_0(c_2(x1))))))))))) -> 1'(3'(5'(3'(2'(5'(2'(0'(4'(4'(x1)))))))))) [1]
   4'(c_3(c_2(c_5(c_3(c_1(c_4(c_0(c_3(c_5(c_2(x1))))))))))) -> 0'(3'(1'(2'(3'(5'(1'(0'(2'(3'(x1)))))))))) [1]
   0'(c_1(c_0(c_2(c_3(c_4(x1)))))) -> 0'(1'(0'(3'(2'(4'(x1)))))) [1]
   4'(c_3(c_3(c_0(c_2(c_4(c_2(c_3(c_4(c_3(c_5(c_2(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_0(c_0(c_2(c_5(c_2(x1)))))))))))))))))))))))) -> 4'(3'(0'(3'(2'(4'(2'(3'(4'(3'(5'(2'(4'(2'(2'(0'(0'(3'(0'(0'(0'(2'(5'(2'(x1)))))))))))))))))))))))) [1]
   0'(c_1(c_4(c_0(c_4(c_2(c_3(c_4(c_4(c_1(c_3(x1))))))))))) -> 3'(1'(5'(3'(2'(2'(1'(1'(5'(0'(x1)))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))) -> 1'(2'(0'(2'(4'(5'(0'(1'(5'(2'(x1)))))))))) [1]
   2'(c_4(c_3(c_2(c_0(c_1(c_5(c_2(x1)))))))) -> 2'(4'(2'(3'(1'(0'(5'(2'(x1)))))))) [1]
   1'(c_0(c_3(c_5(c_4(c_1(x1)))))) -> 1'(1'(3'(0'(5'(4'(x1)))))) [1]
   0'(c_2(c_1(c_3(c_4(c_3(c_5(c_4(c_3(c_5(c_5(x1))))))))))) -> 1'(0'(0'(1'(1'(4'(1'(4'(1'(3'(x1)))))))))) [1]
   3'(c_2(c_5(c_1(c_5(c_4(c_2(c_4(c_5(c_0(c_5(c_5(x1)))))))))))) -> 0'(2'(5'(1'(0'(0'(5'(1'(5'(1'(x1)))))))))) [1]
   3'(c_4(c_0(c_0(c_4(c_5(c_1(c_0(c_1(c_0(c_3(x1))))))))))) -> 1'(5'(0'(0'(1'(4'(3'(4'(4'(1'(x1)))))))))) [1]
   2'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_4(x1))))))))))) -> 0'(1'(5'(1'(5'(0'(2'(5'(4'(0'(x1)))))))))) [1]
   0'(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_4(c_0(c_1(x1))))))))))) -> 5'(4'(3'(1'(5'(0'(0'(0'(4'(2'(x1)))))))))) [1]
   3'(c_0(c_5(c_5(c_2(c_5(c_3(c_2(c_3(c_2(c_4(x1))))))))))) -> 2'(3'(3'(0'(0'(5'(0'(0'(0'(4'(x1)))))))))) [1]
   2'(c_3(c_2(c_0(c_2(c_4(c_1(c_3(c_5(c_4(c_3(x1))))))))))) -> 1'(0'(3'(5'(2'(0'(5'(4'(3'(3'(x1)))))))))) [1]
   3'(c_1(c_0(c_1(c_1(c_2(c_4(c_4(c_5(c_1(c_0(x1))))))))))) -> 0'(2'(1'(1'(5'(3'(0'(0'(0'(1'(x1)))))))))) [1]
   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(x1))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(4'(x1)))))))))) [1]
   3'(c_1(c_3(c_4(c_2(c_5(c_3(c_1(c_0(c_0(c_5(c_1(c_5(c_4(c_5(c_3(c_2(c_2(c_5(c_4(c_4(c_0(c_4(c_2(c_0(c_5(c_0(c_0(c_5(x1))))))))))))))))))))))))))))) -> 3'(1'(3'(4'(2'(5'(3'(1'(0'(0'(5'(1'(5'(4'(5'(2'(3'(2'(5'(4'(4'(0'(4'(2'(0'(5'(0'(0'(5'(x1))))))))))))))))))))))))))))) [1]
   5'(c_2(c_5(c_2(c_5(c_5(c_4(c_0(c_0(c_0(c_0(x1))))))))))) -> 3'(0'(1'(1'(1'(3'(1'(3'(0'(4'(x1)))))))))) [1]
   1'(c_4(c_1(c_4(c_0(c_1(c_0(c_1(c_5(c_4(c_1(x1))))))))))) -> 3'(0'(3'(2'(2'(0'(1'(3'(0'(2'(x1)))))))))) [1]
   3'(c_5(c_4(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_3(x1))))))))))) -> 5'(1'(4'(3'(0'(4'(3'(0'(5'(2'(x1)))))))))) [1]
   0'(c_2(c_1(c_3(c_2(c_0(c_5(c_4(c_2(c_0(c_5(x1))))))))))) -> 2'(2'(1'(1'(3'(1'(4'(5'(4'(0'(x1)))))))))) [1]
   4'(c_0(c_4(c_1(c_0(c_1(c_4(c_5(c_0(c_0(c_4(c_5(c_4(c_1(c_5(c_0(c_0(c_2(c_4(c_5(c_0(c_3(c_1(c_4(c_4(c_1(c_4(c_0(c_0(x1))))))))))))))))))))))))))))) -> 4'(0'(4'(1'(0'(1'(5'(4'(0'(0'(4'(5'(4'(1'(5'(0'(0'(2'(4'(5'(0'(3'(1'(4'(4'(1'(4'(0'(0'(x1))))))))))))))))))))))))))))) [1]
   3'(c_1(c_2(c_5(c_2(c_0(c_3(c_3(c_1(c_5(c_1(c_5(c_2(c_1(c_5(c_3(c_3(c_0(c_3(c_4(c_4(c_2(c_2(c_4(c_1(c_0(c_3(c_0(c_0(c_5(x1)))))))))))))))))))))))))))))) -> 3'(1'(2'(5'(2'(3'(0'(3'(1'(5'(1'(5'(2'(1'(5'(3'(3'(0'(3'(4'(4'(2'(2'(4'(1'(0'(3'(0'(0'(5'(x1)))))))))))))))))))))))))))))) [1]
   1'(c_3(c_2(c_3(c_3(c_5(c_1(c_1(c_0(c_4(c_4(c_5(x1)))))))))))) -> 5'(2'(0'(4'(5'(1'(3'(5'(5'(0'(x1)))))))))) [1]
   2'(c_3(c_4(c_5(c_5(c_4(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_2(c_0(x1))))))))))))))) -> 2'(3'(4'(5'(5'(4'(0'(5'(0'(0'(5'(2'(4'(4'(0'(x1))))))))))))))) [1]
   2'(c_5(c_3(c_3(c_0(c_4(c_5(c_2(c_0(c_3(c_0(x1))))))))))) -> 2'(5'(3'(3'(4'(0'(5'(2'(0'(3'(0'(x1))))))))))) [1]
   3'(c_4(c_2(c_3(c_2(c_4(c_2(c_5(c_2(c_0(c_4(x1))))))))))) -> 2'(5'(5'(2'(4'(4'(2'(4'(1'(3'(x1)))))))))) [1]
   4'(c_4(c_5(c_3(c_3(c_2(c_3(c_1(c_3(c_3(c_0(c_1(c_5(c_2(x1)))))))))))))) -> 4'(4'(5'(3'(3'(2'(3'(1'(3'(0'(3'(1'(5'(2'(x1)))))))))))))) [1]
   1'(c_5(c_2(c_1(c_1(c_2(c_4(c_0(c_0(c_5(c_5(c_0(c_4(c_2(c_4(c_5(c_0(c_2(c_1(x1))))))))))))))))))) -> 1'(5'(2'(1'(1'(2'(4'(0'(0'(5'(5'(0'(4'(2'(5'(4'(0'(2'(1'(x1))))))))))))))))))) [1]
   5'(c_1(c_1(c_1(c_1(c_4(c_1(c_1(c_2(c_0(c_5(c_5(c_5(c_5(c_1(c_5(c_1(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(x1))))))))))))))))))))))))) -> 5'(1'(1'(1'(1'(4'(1'(1'(2'(5'(0'(5'(5'(5'(1'(5'(1'(0'(1'(3'(2'(2'(3'(0'(2'(x1))))))))))))))))))))))))) [1]
   3'(c_3(c_4(c_2(c_5(c_0(c_0(c_5(c_3(c_3(c_2(x1))))))))))) -> 4'(3'(1'(1'(2'(1'(0'(2'(2'(3'(x1)))))))))) [1]
   4'(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(x1))))))))))) -> 3'(1'(4'(2'(1'(2'(2'(2'(5'(2'(x1)))))))))) [1]
   0'(c_5(c_5(c_0(c_4(c_5(c_0(c_1(c_0(c_0(c_4(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x1))))))))))))))))))))))))))) -> 5'(4'(0'(5'(0'(5'(0'(0'(1'(0'(2'(2'(2'(1'(4'(0'(3'(2'(1'(1'(0'(2'(2'(3'(1'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_5(c_4(c_2(c_5(c_2(c_0(c_2(c_0(x1))))))))))) -> 3'(0'(0'(5'(4'(5'(5'(4'(4'(2'(x1)))))))))) [1]
   4'(c_3(c_1(c_5(c_3(c_0(c_3(c_5(c_3(c_4(c_3(x1))))))))))) -> 1'(4'(1'(5'(3'(2'(5'(5'(2'(4'(x1)))))))))) [1]
   2'(c_5(c_3(c_2(c_0(c_3(c_2(c_2(c_2(c_4(c_5(x1))))))))))) -> 3'(1'(3'(0'(2'(0'(4'(2'(0'(4'(x1)))))))))) [1]
   5'(c_3(c_1(c_2(c_4(c_4(c_3(c_2(c_4(c_3(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_5(c_4(c_4(c_4(c_3(c_4(c_0(x1)))))))))))))))))))))))) -> 5'(3'(1'(2'(4'(4'(3'(2'(5'(4'(3'(0'(0'(0'(5'(4'(4'(5'(4'(4'(4'(4'(3'(0'(x1)))))))))))))))))))))))) [1]
   3'(c_3(c_5(c_0(c_1(c_2(c_1(c_0(c_4(c_3(c_0(x1))))))))))) -> 2'(3'(1'(5'(2'(5'(0'(0'(3'(1'(x1)))))))))) [1]
   1'(c_5(c_2(c_3(c_4(c_1(c_2(c_5(c_4(c_4(c_2(c_1(c_5(c_0(c_0(c_0(c_3(c_3(c_4(c_3(c_2(c_5(c_0(c_5(c_0(c_3(x1)))))))))))))))))))))))))) -> 1'(5'(2'(3'(4'(1'(2'(5'(4'(4'(2'(1'(5'(0'(0'(3'(0'(3'(4'(3'(2'(5'(0'(5'(0'(3'(x1)))))))))))))))))))))))))) [1]
   2'(c_0(c_3(c_1(c_3(c_1(c_5(c_0(c_5(c_1(c_5(x1))))))))))) -> 5'(3'(1'(3'(5'(2'(4'(0'(4'(4'(x1)))))))))) [1]
   1'(c_4(c_4(c_2(c_1(c_2(c_2(c_3(c_2(c_5(c_5(x1))))))))))) -> 1'(1'(1'(5'(1'(0'(1'(5'(4'(2'(x1)))))))))) [1]
   3'(c_1(c_0(c_4(c_3(c_1(c_4(c_2(c_0(c_4(c_5(c_4(c_2(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))) -> 3'(1'(0'(4'(3'(1'(2'(4'(0'(4'(5'(4'(2'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))) [1]
   4'(c_3(c_2(c_4(c_5(c_2(c_3(c_3(c_1(c_4(c_0(x1))))))))))) -> 4'(3'(2'(1'(4'(0'(2'(4'(2'(1'(x1)))))))))) [1]
   4'(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(x1))))))))))))))))))))))))) -> 4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(4'(x1))))))))))))))))))))))))) [1]
   3'(c_4(c_2(c_0(c_4(c_3(c_2(c_1(c_0(c_5(c_2(x1))))))))))) -> 1'(0'(3'(3'(2'(0'(2'(3'(1'(3'(x1)))))))))) [1]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(x1))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(0'(x1)))))))))) [1]
   3'(c_2(c_5(c_0(c_2(c_1(c_0(c_5(c_4(c_4(c_3(c_5(c_4(c_2(c_1(c_1(c_1(c_4(c_1(c_5(c_3(x1))))))))))))))))))))) -> 3'(2'(0'(5'(2'(1'(0'(5'(4'(4'(3'(5'(4'(2'(1'(1'(1'(4'(1'(5'(3'(x1))))))))))))))))))))) [1]
   3'(c_3(c_2(c_3(c_5(c_0(c_1(c_5(c_5(c_2(c_4(x1))))))))))) -> 3'(0'(1'(5'(4'(4'(0'(5'(2'(5'(x1)))))))))) [1]
   2'(c_3(c_4(c_4(c_3(c_0(c_1(c_2(c_3(c_4(c_4(c_4(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(x1))))))))))))))))))))))) -> 3'(1'(4'(4'(2'(4'(3'(0'(3'(2'(4'(2'(4'(1'(0'(0'(3'(1'(1'(3'(1'(3'(3'(x1))))))))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_0(c_2(c_4(c_1(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_4(c_2(c_3(c_2(c_5(c_0(c_3(c_2(c_4(c_2(c_0(c_5(x1)))))))))))))))))))))))))))) -> 3'(1'(0'(0'(3'(2'(4'(1'(2'(1'(4'(1'(0'(2'(4'(2'(4'(2'(3'(2'(5'(0'(3'(2'(4'(2'(0'(5'(x1)))))))))))))))))))))))))))) [1]
   0'(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_3(c_1(c_0(x1))))))))))) -> 3'(1'(0'(2'(2'(1'(4'(1'(5'(1'(x1)))))))))) [1]
   4'(c_1(c_3(c_0(c_1(c_0(c_4(c_3(c_3(c_1(c_1(x1))))))))))) -> 4'(2'(3'(4'(0'(3'(3'(2'(5'(0'(x1)))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encArg(cons_5(x_1)) -> 5'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_4(x_1) -> 4'(encArg(x_1)) [0]
   encode_5(x_1) -> 5'(encArg(x_1)) [0]
   5'(x0) -> c_5(x0) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   4'(x0) -> c_4(x0) [0]

The TRS has the following type information:
1' :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
c_2 :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
c_0 :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
c_3 :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
c_4 :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
c_1 :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
c_5 :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
0' :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
2' :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
4' :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
3' :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
5' :: c_5:c_1:c_4:c_0:c_3:c_2 -> c_5:c_1:c_4:c_0:c_3:c_2
encArg :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2
cons_0 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_1 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_3 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_5 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_2 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_4 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
encode_0 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2
encode_1 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2
encode_2 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2
encode_3 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2
encode_4 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2
encode_5 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2

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

(25) CompletionProof (UPPER BOUND(ID))
The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added:

   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   encode_3(v0) -> null_encode_3 [0]
   encode_4(v0) -> null_encode_4 [0]
   encode_5(v0) -> null_encode_5 [0]
   5'(v0) -> null_5' [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]
   4'(v0) -> null_4' [0]

And the following fresh constants:    null_encArg, null_encode_0, null_encode_1, null_encode_2, null_encode_3, null_encode_4, null_encode_5, null_5', null_0', null_1', null_2', null_3', null_4', const

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

(26)
Obligation:
Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is:

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

   1'(c_2(c_0(c_3(c_0(c_0(c_4(c_4(c_4(c_1(c_5(x1))))))))))) -> 1'(0'(0'(2'(4'(4'(0'(4'(2'(3'(x1)))))))))) [1]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(x1))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(x1))))))))))))))))))))) [1]
   2'(c_1(c_4(c_1(c_2(c_2(c_0(c_5(c_1(c_2(c_5(c_1(c_2(c_1(c_1(c_4(c_5(c_5(c_3(c_5(c_3(c_1(c_2(c_1(c_1(c_0(c_3(c_1(x1)))))))))))))))))))))))))))) -> 2'(1'(4'(1'(2'(2'(0'(5'(1'(2'(5'(2'(1'(1'(1'(4'(5'(5'(3'(5'(3'(1'(2'(1'(1'(0'(3'(1'(x1)))))))))))))))))))))))))))) [1]
   1'(c_4(c_0(c_4(c_0(c_2(c_4(c_1(c_3(c_5(c_2(c_0(c_1(c_2(c_5(c_0(c_1(c_1(c_3(c_4(c_5(c_5(c_4(c_3(c_0(c_0(x1)))))))))))))))))))))))))) -> 1'(4'(0'(4'(0'(2'(4'(1'(3'(5'(2'(0'(1'(2'(5'(0'(1'(1'(3'(4'(5'(5'(3'(4'(0'(0'(x1)))))))))))))))))))))))))) [1]
   0'(c_5(c_0(c_4(c_1(c_3(c_4(c_4(c_3(c_3(c_3(x1))))))))))) -> 0'(0'(3'(0'(3'(4'(0'(4'(4'(4'(x1)))))))))) [1]
   3'(c_4(c_1(c_4(c_5(c_1(c_3(c_0(c_3(c_5(c_0(c_0(c_5(c_5(c_0(c_4(c_4(c_0(c_2(c_1(x1)))))))))))))))))))) -> 3'(4'(1'(4'(5'(1'(3'(0'(5'(3'(0'(0'(5'(5'(4'(0'(4'(0'(2'(1'(x1)))))))))))))))))))) [1]
   5'(c_0(c_1(c_3(c_4(c_2(c_4(c_5(c_5(c_1(c_2(c_3(c_1(c_1(c_0(c_4(c_1(c_5(c_1(c_5(c_4(c_2(c_4(c_2(x1)))))))))))))))))))))))) -> 5'(0'(3'(1'(4'(2'(4'(5'(5'(1'(2'(3'(1'(1'(0'(4'(1'(5'(1'(5'(4'(2'(4'(2'(x1)))))))))))))))))))))))) [1]
   4'(c_1(c_5(c_4(c_4(c_0(c_2(c_0(c_0(c_0(c_4(x1))))))))))) -> 0'(3'(3'(2'(4'(2'(1'(3'(3'(5'(x1)))))))))) [1]
   2'(c_0(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_2(c_4(x1))))))))))) -> 5'(5'(3'(1'(0'(5'(5'(5'(3'(0'(x1)))))))))) [1]
   1'(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_4(c_0(c_1(c_0(c_3(c_4(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_4(c_0(c_5(c_2(c_1(c_4(c_5(c_0(x1))))))))))))))))))))))))))))) -> 1'(3'(0'(3'(3'(3'(0'(4'(1'(0'(1'(0'(3'(4'(0'(1'(0'(4'(2'(1'(1'(4'(0'(5'(2'(1'(4'(5'(0'(x1))))))))))))))))))))))))))))) [1]
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   2'(c_3(c_4(c_4(c_3(c_0(c_1(c_2(c_3(c_4(c_4(c_4(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(x1))))))))))))))))))))))) -> 3'(1'(4'(4'(2'(4'(3'(0'(3'(2'(4'(2'(4'(1'(0'(0'(3'(1'(1'(3'(1'(3'(3'(x1))))))))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_0(c_2(c_4(c_1(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_4(c_2(c_3(c_2(c_5(c_0(c_3(c_2(c_4(c_2(c_0(c_5(x1)))))))))))))))))))))))))))) -> 3'(1'(0'(0'(3'(2'(4'(1'(2'(1'(4'(1'(0'(2'(4'(2'(4'(2'(3'(2'(5'(0'(3'(2'(4'(2'(0'(5'(x1)))))))))))))))))))))))))))) [1]
   0'(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_3(c_1(c_0(x1))))))))))) -> 3'(1'(0'(2'(2'(1'(4'(1'(5'(1'(x1)))))))))) [1]
   4'(c_1(c_3(c_0(c_1(c_0(c_4(c_3(c_3(c_1(c_1(x1))))))))))) -> 4'(2'(3'(4'(0'(3'(3'(2'(5'(0'(x1)))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encArg(cons_5(x_1)) -> 5'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_4(x_1) -> 4'(encArg(x_1)) [0]
   encode_5(x_1) -> 5'(encArg(x_1)) [0]
   5'(x0) -> c_5(x0) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   4'(x0) -> c_4(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   encode_3(v0) -> null_encode_3 [0]
   encode_4(v0) -> null_encode_4 [0]
   encode_5(v0) -> null_encode_5 [0]
   5'(v0) -> null_5' [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]
   3'(v0) -> null_3' [0]
   4'(v0) -> null_4' [0]

The TRS has the following type information:
1' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
c_2 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
c_0 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
c_3 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
c_4 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
c_1 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
c_5 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
0' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
2' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
4' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
3' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
5' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4' -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
encArg :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
cons_0 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_1 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_3 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_5 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_2 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_4 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
encode_0 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
encode_1 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
encode_2 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
encode_3 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
encode_4 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
encode_5 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_encArg :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_encode_0 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_encode_1 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_encode_2 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_encode_3 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_encode_4 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_encode_5 :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_5' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_0' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_1' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_2' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_3' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
null_4' :: c_5:c_1:c_4:c_0:c_3:c_2:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_encode_3:null_encode_4:null_encode_5:null_5':null_0':null_1':null_2':null_3':null_4'
const :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4

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

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

   null_encArg => 0
   null_encode_0 => 0
   null_encode_1 => 0
   null_encode_2 => 0
   null_encode_3 => 0
   null_encode_4 => 0
   null_encode_5 => 0
   null_5' => 0
   null_0' => 0
   null_1' => 0
   null_2' => 0
   null_3' => 0
   null_4' => 0
   const => 0

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

(28)
Obligation:
Complexity RNTS consisting of the following rules:

   0'(z) -{ 1 }-> 5'(4'(5'(0'(3'(0'(3'(0'(5'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 1 }-> 5'(4'(3'(1'(5'(0'(0'(0'(4'(2'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 1 }-> 5'(4'(0'(5'(0'(5'(0'(0'(1'(0'(2'(2'(2'(1'(4'(0'(3'(2'(1'(1'(0'(2'(2'(3'(1'(1'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))
   0'(z) -{ 1 }-> 3'(5'(0'(0'(5'(5'(1'(5'(0'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 1 }-> 3'(1'(5'(3'(2'(2'(1'(1'(5'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 1 }-> 3'(1'(0'(2'(2'(1'(4'(1'(5'(1'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 1 }-> 2'(2'(1'(1'(3'(1'(4'(5'(4'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 1 }-> 1'(4'(3'(4'(3'(3'(2'(4'(3'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(1'(1'(4'(1'(4'(1'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 1 }-> 0'(4'(5'(4'(5'(4'(5'(3'(4'(2'(1'(0'(1'(5'(0'(2'(1'(3'(4'(2'(1'(4'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(3'(2'(4'(x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + x1))))
   0'(z) -{ 1 }-> 0'(0'(3'(0'(3'(4'(0'(4'(4'(4'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 5'(2'(0'(4'(5'(1'(3'(5'(5'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   1'(z) -{ 1 }-> 3'(0'(3'(2'(2'(0'(1'(3'(0'(2'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   1'(z) -{ 1 }-> 3'(0'(0'(5'(4'(5'(5'(4'(4'(2'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   1'(z) -{ 1 }-> 1'(5'(2'(3'(4'(1'(2'(5'(4'(4'(2'(1'(5'(0'(0'(3'(0'(3'(4'(3'(2'(5'(0'(5'(0'(3'(x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(5'(2'(1'(1'(2'(4'(0'(0'(5'(5'(0'(4'(2'(5'(4'(0'(2'(1'(x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))
   1'(z) -{ 1 }-> 1'(4'(0'(4'(0'(2'(4'(1'(3'(5'(2'(0'(1'(2'(5'(0'(1'(1'(3'(4'(5'(5'(3'(4'(0'(0'(x1)))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(3'(0'(3'(3'(3'(0'(4'(1'(0'(1'(0'(3'(4'(0'(1'(0'(4'(2'(1'(1'(4'(0'(5'(2'(1'(4'(5'(0'(x1))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(2'(4'(5'(0'(1'(5'(2'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   1'(z) -{ 1 }-> 1'(1'(3'(0'(5'(4'(x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + x1))))
   1'(z) -{ 1 }-> 1'(1'(1'(5'(1'(0'(1'(5'(4'(2'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   1'(z) -{ 1 }-> 1'(1'(0'(1'(2'(3'(1'(1'(5'(1'(0'(2'(5'(4'(4'(x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(2'(4'(4'(0'(4'(2'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   1'(z) -{ 1 }-> 0'(5'(0'(0'(0'(0'(2'(0'(1'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 5'(5'(3'(1'(0'(5'(5'(5'(3'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   2'(z) -{ 1 }-> 5'(3'(1'(3'(5'(2'(4'(0'(4'(4'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   2'(z) -{ 1 }-> 4'(3'(4'(1'(1'(0'(0'(5'(0'(2'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   2'(z) -{ 1 }-> 3'(1'(4'(4'(2'(4'(3'(0'(3'(2'(4'(2'(4'(1'(0'(0'(3'(1'(1'(3'(1'(3'(3'(x1))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 3'(1'(3'(0'(2'(0'(4'(2'(0'(4'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   2'(z) -{ 1 }-> 2'(5'(3'(3'(4'(0'(5'(2'(0'(3'(0'(x1))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   2'(z) -{ 1 }-> 2'(4'(2'(3'(1'(0'(5'(2'(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   2'(z) -{ 1 }-> 2'(3'(4'(5'(5'(4'(0'(5'(0'(0'(5'(2'(4'(4'(0'(x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))
   2'(z) -{ 1 }-> 2'(3'(1'(3'(1'(4'(0'(3'(1'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   2'(z) -{ 1 }-> 2'(3'(0'(3'(3'(3'(3'(5'(2'(5'(4'(0'(3'(0'(5'(x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))
   2'(z) -{ 1 }-> 2'(1'(4'(1'(2'(2'(0'(5'(1'(2'(5'(2'(1'(1'(1'(4'(5'(5'(3'(5'(3'(1'(2'(1'(1'(0'(3'(1'(x1)))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(3'(5'(2'(0'(5'(4'(3'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   2'(z) -{ 1 }-> 0'(3'(3'(3'(3'(5'(1'(1'(1'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   2'(z) -{ 1 }-> 0'(1'(5'(1'(5'(0'(2'(5'(4'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   3'(z) -{ 1 }-> 5'(1'(4'(3'(0'(4'(3'(0'(5'(2'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   3'(z) -{ 1 }-> 4'(3'(1'(1'(2'(1'(0'(2'(2'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   3'(z) -{ 1 }-> 3'(4'(1'(4'(5'(1'(3'(0'(5'(3'(0'(0'(5'(5'(4'(0'(4'(0'(2'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   3'(z) -{ 1 }-> 3'(3'(2'(0'(2'(2'(0'(0'(5'(5'(4'(5'(2'(0'(1'(3'(4'(5'(5'(x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))
   3'(z) -{ 1 }-> 3'(2'(0'(5'(2'(1'(0'(5'(4'(4'(3'(5'(4'(2'(1'(1'(1'(4'(1'(5'(3'(x1))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(3'(4'(2'(5'(3'(1'(0'(0'(5'(1'(5'(4'(5'(2'(3'(2'(5'(4'(4'(0'(4'(2'(0'(5'(0'(0'(5'(x1))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(2'(5'(2'(3'(0'(3'(1'(5'(1'(5'(2'(1'(5'(3'(3'(0'(3'(4'(4'(2'(2'(4'(1'(0'(3'(0'(0'(5'(x1)))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(0'(4'(3'(1'(2'(4'(0'(4'(5'(4'(2'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))
   3'(z) -{ 1 }-> 3'(1'(0'(0'(3'(2'(4'(1'(2'(1'(4'(1'(0'(2'(4'(2'(4'(2'(3'(2'(5'(0'(3'(2'(4'(2'(0'(5'(x1)))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))
   3'(z) -{ 1 }-> 3'(0'(3'(2'(3'(5'(4'(5'(1'(4'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   3'(z) -{ 1 }-> 3'(0'(1'(5'(4'(4'(0'(5'(2'(5'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   3'(z) -{ 1 }-> 3'(0'(0'(5'(1'(1'(5'(x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1)))))
   3'(z) -{ 1 }-> 2'(5'(5'(3'(1'(2'(4'(1'(5'(1'(5'(4'(x1)))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   3'(z) -{ 1 }-> 2'(5'(5'(2'(4'(4'(2'(4'(1'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   3'(z) -{ 1 }-> 2'(4'(3'(4'(0'(0'(3'(1'(0'(4'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   3'(z) -{ 1 }-> 2'(3'(3'(0'(0'(5'(0'(0'(0'(4'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   3'(z) -{ 1 }-> 2'(3'(1'(5'(2'(5'(0'(0'(3'(1'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   3'(z) -{ 1 }-> 1'(5'(0'(0'(1'(4'(3'(4'(4'(1'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   3'(z) -{ 1 }-> 1'(0'(3'(3'(2'(0'(2'(3'(1'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   3'(z) -{ 1 }-> 0'(2'(5'(1'(0'(0'(5'(1'(5'(1'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   3'(z) -{ 1 }-> 0'(2'(3'(1'(3'(1'(1'(2'(5'(5'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   3'(z) -{ 1 }-> 0'(2'(1'(1'(5'(3'(0'(0'(0'(1'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   3'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   3'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   4'(z) -{ 1 }-> 4'(4'(5'(3'(3'(2'(3'(1'(3'(0'(3'(1'(5'(2'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))
   4'(z) -{ 1 }-> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))
   4'(z) -{ 1 }-> 4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(4'(x1))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))), x1 >= 0
   4'(z) -{ 1 }-> 4'(3'(5'(5'(1'(4'(0'(4'(0'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   4'(z) -{ 1 }-> 4'(3'(2'(1'(4'(0'(2'(4'(2'(1'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   4'(z) -{ 1 }-> 4'(3'(0'(3'(2'(4'(2'(3'(4'(3'(5'(2'(4'(2'(2'(0'(0'(3'(0'(0'(0'(2'(5'(2'(x1)))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0
   4'(z) -{ 1 }-> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(x1))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))
   4'(z) -{ 1 }-> 4'(2'(3'(4'(0'(3'(3'(2'(5'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   4'(z) -{ 1 }-> 4'(1'(1'(2'(4'(4'(2'(0'(0'(2'(0'(2'(1'(4'(0'(0'(3'(0'(4'(4'(2'(3'(3'(x1))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   4'(z) -{ 1 }-> 4'(0'(4'(1'(0'(1'(5'(4'(0'(0'(4'(5'(4'(1'(5'(0'(0'(2'(4'(5'(0'(3'(1'(4'(4'(1'(4'(0'(0'(x1))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))
   4'(z) -{ 1 }-> 4'(0'(1'(2'(0'(4'(3'(2'(2'(3'(0'(4'(0'(5'(0'(4'(3'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))
   4'(z) -{ 1 }-> 3'(5'(3'(4'(0'(3'(5'(2'(4'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   4'(z) -{ 1 }-> 3'(1'(4'(2'(1'(2'(2'(2'(5'(2'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   4'(z) -{ 1 }-> 2'(0'(0'(0'(3'(3'(1'(2'(5'(4'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   4'(z) -{ 1 }-> 1'(4'(1'(5'(3'(2'(5'(5'(2'(4'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   4'(z) -{ 1 }-> 1'(3'(5'(3'(2'(5'(2'(0'(4'(4'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   4'(z) -{ 1 }-> 0'(3'(3'(2'(4'(2'(1'(3'(3'(5'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   4'(z) -{ 1 }-> 0'(3'(1'(2'(3'(5'(1'(0'(2'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   4'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   4'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   5'(z) -{ 1 }-> 5'(5'(3'(1'(0'(4'(5'(x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1)))))
   5'(z) -{ 1 }-> 5'(5'(1'(4'(5'(2'(3'(3'(5'(3'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   5'(z) -{ 1 }-> 5'(4'(5'(3'(4'(0'(0'(1'(2'(0'(0'(4'(0'(3'(0'(5'(3'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))
   5'(z) -{ 1 }-> 5'(3'(1'(2'(4'(4'(3'(2'(5'(4'(3'(0'(0'(0'(5'(4'(4'(5'(4'(4'(4'(4'(3'(0'(x1)))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0
   5'(z) -{ 1 }-> 5'(1'(1'(1'(1'(4'(1'(1'(2'(5'(0'(5'(5'(5'(1'(5'(1'(0'(1'(3'(2'(2'(3'(0'(2'(x1))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))), x1 >= 0
   5'(z) -{ 1 }-> 5'(0'(3'(1'(4'(2'(4'(5'(5'(1'(2'(3'(1'(1'(0'(4'(1'(5'(1'(5'(4'(2'(4'(2'(x1)))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0
   5'(z) -{ 1 }-> 3'(5'(5'(1'(1'(3'(3'(4'(0'(4'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   5'(z) -{ 1 }-> 3'(0'(1'(1'(1'(3'(1'(3'(0'(4'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   5'(z) -{ 1 }-> 2'(1'(4'(2'(0'(3'(2'(1'(3'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   5'(z) -{ 1 }-> 2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   5'(z) -{ 1 }-> 1'(0'(3'(5'(3'(5'(0'(1'(1'(5'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   5'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   5'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 5'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 4'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 3'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 2'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_3(z) -{ 0 }-> 3'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_3(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_4(z) -{ 0 }-> 4'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_4(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_5(z) -{ 0 }-> 5'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_5(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0

Only complete derivations are relevant for the runtime complexity.

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_0_1
   encode_1_1
   encode_2_1
   encode_3_1
   encode_4_1
   encode_5_1
   5'_1
   0'_1
   1'_1
   2'_1
   3'_1
   4'_1

Due to the following rules being added:

   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_4(v0) -> const [0]
   encode_5(v0) -> const [0]
   5'(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]
   4'(v0) -> const [0]

And the following fresh constants:    const, const1

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

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

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

   1'(c_2(c_0(c_3(c_0(c_0(c_4(c_4(c_4(c_1(c_5(x1))))))))))) -> 1'(0'(0'(2'(4'(4'(0'(4'(2'(3'(x1)))))))))) [1]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(x1))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(x1))))))))))))))))))))) [1]
   2'(c_1(c_4(c_1(c_2(c_2(c_0(c_5(c_1(c_2(c_5(c_1(c_2(c_1(c_1(c_4(c_5(c_5(c_3(c_5(c_3(c_1(c_2(c_1(c_1(c_0(c_3(c_1(x1)))))))))))))))))))))))))))) -> 2'(1'(4'(1'(2'(2'(0'(5'(1'(2'(5'(2'(1'(1'(1'(4'(5'(5'(3'(5'(3'(1'(2'(1'(1'(0'(3'(1'(x1)))))))))))))))))))))))))))) [1]
   1'(c_4(c_0(c_4(c_0(c_2(c_4(c_1(c_3(c_5(c_2(c_0(c_1(c_2(c_5(c_0(c_1(c_1(c_3(c_4(c_5(c_5(c_4(c_3(c_0(c_0(x1)))))))))))))))))))))))))) -> 1'(4'(0'(4'(0'(2'(4'(1'(3'(5'(2'(0'(1'(2'(5'(0'(1'(1'(3'(4'(5'(5'(3'(4'(0'(0'(x1)))))))))))))))))))))))))) [1]
   0'(c_5(c_0(c_4(c_1(c_3(c_4(c_4(c_3(c_3(c_3(x1))))))))))) -> 0'(0'(3'(0'(3'(4'(0'(4'(4'(4'(x1)))))))))) [1]
   3'(c_4(c_1(c_4(c_5(c_1(c_3(c_0(c_3(c_5(c_0(c_0(c_5(c_5(c_0(c_4(c_4(c_0(c_2(c_1(x1)))))))))))))))))))) -> 3'(4'(1'(4'(5'(1'(3'(0'(5'(3'(0'(0'(5'(5'(4'(0'(4'(0'(2'(1'(x1)))))))))))))))))))) [1]
   5'(c_0(c_1(c_3(c_4(c_2(c_4(c_5(c_5(c_1(c_2(c_3(c_1(c_1(c_0(c_4(c_1(c_5(c_1(c_5(c_4(c_2(c_4(c_2(x1)))))))))))))))))))))))) -> 5'(0'(3'(1'(4'(2'(4'(5'(5'(1'(2'(3'(1'(1'(0'(4'(1'(5'(1'(5'(4'(2'(4'(2'(x1)))))))))))))))))))))))) [1]
   4'(c_1(c_5(c_4(c_4(c_0(c_2(c_0(c_0(c_0(c_4(x1))))))))))) -> 0'(3'(3'(2'(4'(2'(1'(3'(3'(5'(x1)))))))))) [1]
   2'(c_0(c_2(c_1(c_1(c_2(c_4(c_4(c_1(c_2(c_4(x1))))))))))) -> 5'(5'(3'(1'(0'(5'(5'(5'(3'(0'(x1)))))))))) [1]
   1'(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_4(c_0(c_1(c_0(c_3(c_4(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_4(c_0(c_5(c_2(c_1(c_4(c_5(c_0(x1))))))))))))))))))))))))))))) -> 1'(3'(0'(3'(3'(3'(0'(4'(1'(0'(1'(0'(3'(4'(0'(1'(0'(4'(2'(1'(1'(4'(0'(5'(2'(1'(4'(5'(0'(x1))))))))))))))))))))))))))))) [1]
   5'(c_5(c_4(c_1(c_2(c_3(c_5(c_3(c_5(c_3(x1)))))))))) -> 5'(5'(1'(4'(5'(2'(3'(3'(5'(3'(x1)))))))))) [1]
   2'(c_5(c_5(c_3(c_1(c_5(c_0(c_2(c_2(c_3(c_3(x1))))))))))) -> 4'(3'(4'(1'(1'(0'(0'(5'(0'(2'(x1)))))))))) [1]
   0'(c_5(c_0(c_0(c_2(c_4(c_4(c_1(c_5(c_0(c_3(x1))))))))))) -> 1'(4'(3'(4'(3'(3'(2'(4'(3'(3'(x1)))))))))) [1]
   0'(c_4(c_5(c_5(c_4(c_4(c_5(c_3(c_4(c_2(c_1(c_0(c_1(c_5(c_0(c_2(c_1(c_3(c_4(c_2(c_4(c_1(x1)))))))))))))))))))))) -> 0'(4'(5'(4'(5'(4'(5'(3'(4'(2'(1'(0'(1'(5'(0'(2'(1'(3'(4'(2'(1'(4'(x1)))))))))))))))))))))) [1]
   3'(c_0(c_2(c_3(c_3(c_5(c_4(c_5(c_1(c_4(x1)))))))))) -> 3'(0'(3'(2'(3'(5'(4'(5'(1'(4'(x1)))))))))) [1]
   0'(c_5(c_0(c_4(c_3(c_2(c_3(c_2(c_4(c_3(c_3(x1))))))))))) -> 3'(5'(0'(0'(5'(5'(1'(5'(0'(0'(x1)))))))))) [1]
   0'(c_3(c_3(c_0(c_0(c_2(c_0(c_5(c_2(c_4(c_2(x1))))))))))) -> 5'(4'(5'(0'(3'(0'(3'(0'(5'(0'(x1)))))))))) [1]
   1'(c_5(c_3(c_5(c_1(c_1(c_4(c_4(c_3(c_0(c_2(x1))))))))))) -> 0'(5'(0'(0'(0'(0'(2'(0'(1'(3'(x1)))))))))) [1]
   4'(c_5(c_4(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_0(x1))))))))))) -> 3'(5'(3'(4'(0'(3'(5'(2'(4'(0'(x1)))))))))) [1]
   4'(c_1(c_1(c_2(c_4(c_4(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_4(c_0(c_0(c_3(c_0(c_4(c_4(c_2(c_3(c_3(x1))))))))))))))))))))))) -> 4'(1'(1'(2'(4'(4'(2'(0'(0'(2'(0'(2'(1'(4'(0'(0'(3'(0'(4'(4'(2'(3'(3'(x1))))))))))))))))))))))) [1]
   2'(c_0(c_5(c_2(c_1(c_1(c_3(c_1(c_3(c_4(c_1(x1))))))))))) -> 2'(3'(1'(3'(1'(4'(0'(3'(1'(3'(x1)))))))))) [1]
   4'(c_0(c_1(c_2(c_0(c_4(c_3(c_2(c_3(c_2(c_0(c_4(c_0(c_5(c_0(c_4(c_3(x1))))))))))))))))) -> 4'(0'(1'(2'(0'(4'(3'(2'(2'(3'(0'(4'(0'(5'(0'(4'(3'(x1))))))))))))))))) [1]
   3'(c_0(c_0(c_1(c_5(c_1(c_5(x1))))))) -> 3'(0'(0'(5'(1'(1'(5'(x1))))))) [1]
   3'(c_0(c_0(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_0(x1))))))))))) -> 2'(4'(3'(4'(0'(0'(3'(1'(0'(4'(x1)))))))))) [1]
   3'(c_3(c_2(c_0(c_2(c_2(c_0(c_0(c_5(c_5(c_5(c_4(c_2(c_0(c_1(c_3(c_4(c_5(c_5(x1))))))))))))))))))) -> 3'(3'(2'(0'(2'(2'(0'(0'(5'(5'(4'(5'(2'(0'(1'(3'(4'(5'(5'(x1))))))))))))))))))) [1]
   5'(c_5(c_1(c_3(c_0(c_4(c_5(x1))))))) -> 5'(5'(3'(1'(0'(4'(5'(x1))))))) [1]
   5'(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(x1))))))))))) -> 1'(0'(3'(5'(3'(5'(0'(1'(1'(5'(x1)))))))))) [1]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(x1))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(x1)))))))))) [1]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(x1))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(x1))))))))))))))))))))))))))) [1]
   4'(c_3(c_5(c_5(c_1(c_4(c_4(c_0(c_0(c_3(x1)))))))))) -> 4'(3'(5'(5'(1'(4'(0'(4'(0'(3'(x1)))))))))) [1]
   5'(c_4(c_5(c_3(c_4(c_0(c_0(c_1(c_2(c_0(c_0(c_4(c_0(c_0(c_3(c_5(c_3(x1))))))))))))))))) -> 5'(4'(5'(3'(4'(0'(0'(1'(2'(0'(0'(4'(0'(3'(0'(5'(3'(x1))))))))))))))))) [1]
   4'(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(x1))))))))))) -> 2'(0'(0'(0'(3'(3'(1'(2'(5'(4'(x1)))))))))) [1]
   2'(c_3(c_0(c_3(c_3(c_3(c_3(c_2(c_5(c_5(c_4(c_0(c_0(c_3(c_5(x1))))))))))))))) -> 2'(3'(0'(3'(3'(3'(3'(5'(2'(5'(4'(0'(3'(0'(5'(x1))))))))))))))) [1]
   3'(c_2(c_0(c_0(c_3(c_0(c_2(c_0(c_2(c_1(c_3(x1))))))))))) -> 0'(2'(3'(1'(3'(1'(1'(2'(5'(5'(x1)))))))))) [1]
   1'(c_1(c_0(c_2(c_1(c_3(c_1(c_1(c_5(c_1(c_0(c_2(c_5(c_4(c_4(x1))))))))))))))) -> 1'(1'(0'(1'(2'(3'(1'(1'(5'(1'(0'(2'(5'(4'(4'(x1))))))))))))))) [1]
   2'(c_5(c_1(c_3(c_0(c_4(c_1(c_2(c_2(c_1(c_1(x1))))))))))) -> 0'(3'(3'(3'(3'(5'(1'(1'(1'(0'(x1)))))))))) [1]
   3'(c_5(c_4(c_2(c_4(c_1(c_5(c_1(c_5(c_5(c_2(c_1(x1)))))))))))) -> 2'(5'(5'(3'(1'(2'(4'(1'(5'(1'(5'(4'(x1)))))))))))) [1]
   4'(c_2(c_1(c_5(c_1(c_5(c_1(c_3(c_5(c_0(c_2(x1))))))))))) -> 1'(3'(5'(3'(2'(5'(2'(0'(4'(4'(x1)))))))))) [1]
   4'(c_3(c_2(c_5(c_3(c_1(c_4(c_0(c_3(c_5(c_2(x1))))))))))) -> 0'(3'(1'(2'(3'(5'(1'(0'(2'(3'(x1)))))))))) [1]
   0'(c_1(c_0(c_2(c_3(c_4(x1)))))) -> 0'(1'(0'(3'(2'(4'(x1)))))) [1]
   4'(c_3(c_3(c_0(c_2(c_4(c_2(c_3(c_4(c_3(c_5(c_2(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_0(c_0(c_2(c_5(c_2(x1)))))))))))))))))))))))) -> 4'(3'(0'(3'(2'(4'(2'(3'(4'(3'(5'(2'(4'(2'(2'(0'(0'(3'(0'(0'(0'(2'(5'(2'(x1)))))))))))))))))))))))) [1]
   0'(c_1(c_4(c_0(c_4(c_2(c_3(c_4(c_4(c_1(c_3(x1))))))))))) -> 3'(1'(5'(3'(2'(2'(1'(1'(5'(0'(x1)))))))))) [1]
   1'(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))) -> 1'(2'(0'(2'(4'(5'(0'(1'(5'(2'(x1)))))))))) [1]
   2'(c_4(c_3(c_2(c_0(c_1(c_5(c_2(x1)))))))) -> 2'(4'(2'(3'(1'(0'(5'(2'(x1)))))))) [1]
   1'(c_0(c_3(c_5(c_4(c_1(x1)))))) -> 1'(1'(3'(0'(5'(4'(x1)))))) [1]
   0'(c_2(c_1(c_3(c_4(c_3(c_5(c_4(c_3(c_5(c_5(x1))))))))))) -> 1'(0'(0'(1'(1'(4'(1'(4'(1'(3'(x1)))))))))) [1]
   3'(c_2(c_5(c_1(c_5(c_4(c_2(c_4(c_5(c_0(c_5(c_5(x1)))))))))))) -> 0'(2'(5'(1'(0'(0'(5'(1'(5'(1'(x1)))))))))) [1]
   3'(c_4(c_0(c_0(c_4(c_5(c_1(c_0(c_1(c_0(c_3(x1))))))))))) -> 1'(5'(0'(0'(1'(4'(3'(4'(4'(1'(x1)))))))))) [1]
   2'(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_4(x1))))))))))) -> 0'(1'(5'(1'(5'(0'(2'(5'(4'(0'(x1)))))))))) [1]
   0'(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_4(c_0(c_1(x1))))))))))) -> 5'(4'(3'(1'(5'(0'(0'(0'(4'(2'(x1)))))))))) [1]
   3'(c_0(c_5(c_5(c_2(c_5(c_3(c_2(c_3(c_2(c_4(x1))))))))))) -> 2'(3'(3'(0'(0'(5'(0'(0'(0'(4'(x1)))))))))) [1]
   2'(c_3(c_2(c_0(c_2(c_4(c_1(c_3(c_5(c_4(c_3(x1))))))))))) -> 1'(0'(3'(5'(2'(0'(5'(4'(3'(3'(x1)))))))))) [1]
   3'(c_1(c_0(c_1(c_1(c_2(c_4(c_4(c_5(c_1(c_0(x1))))))))))) -> 0'(2'(1'(1'(5'(3'(0'(0'(0'(1'(x1)))))))))) [1]
   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(x1))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(4'(x1)))))))))) [1]
   3'(c_1(c_3(c_4(c_2(c_5(c_3(c_1(c_0(c_0(c_5(c_1(c_5(c_4(c_5(c_3(c_2(c_2(c_5(c_4(c_4(c_0(c_4(c_2(c_0(c_5(c_0(c_0(c_5(x1))))))))))))))))))))))))))))) -> 3'(1'(3'(4'(2'(5'(3'(1'(0'(0'(5'(1'(5'(4'(5'(2'(3'(2'(5'(4'(4'(0'(4'(2'(0'(5'(0'(0'(5'(x1))))))))))))))))))))))))))))) [1]
   5'(c_2(c_5(c_2(c_5(c_5(c_4(c_0(c_0(c_0(c_0(x1))))))))))) -> 3'(0'(1'(1'(1'(3'(1'(3'(0'(4'(x1)))))))))) [1]
   1'(c_4(c_1(c_4(c_0(c_1(c_0(c_1(c_5(c_4(c_1(x1))))))))))) -> 3'(0'(3'(2'(2'(0'(1'(3'(0'(2'(x1)))))))))) [1]
   3'(c_5(c_4(c_1(c_0(c_1(c_0(c_3(c_0(c_3(c_3(x1))))))))))) -> 5'(1'(4'(3'(0'(4'(3'(0'(5'(2'(x1)))))))))) [1]
   0'(c_2(c_1(c_3(c_2(c_0(c_5(c_4(c_2(c_0(c_5(x1))))))))))) -> 2'(2'(1'(1'(3'(1'(4'(5'(4'(0'(x1)))))))))) [1]
   4'(c_0(c_4(c_1(c_0(c_1(c_4(c_5(c_0(c_0(c_4(c_5(c_4(c_1(c_5(c_0(c_0(c_2(c_4(c_5(c_0(c_3(c_1(c_4(c_4(c_1(c_4(c_0(c_0(x1))))))))))))))))))))))))))))) -> 4'(0'(4'(1'(0'(1'(5'(4'(0'(0'(4'(5'(4'(1'(5'(0'(0'(2'(4'(5'(0'(3'(1'(4'(4'(1'(4'(0'(0'(x1))))))))))))))))))))))))))))) [1]
   3'(c_1(c_2(c_5(c_2(c_0(c_3(c_3(c_1(c_5(c_1(c_5(c_2(c_1(c_5(c_3(c_3(c_0(c_3(c_4(c_4(c_2(c_2(c_4(c_1(c_0(c_3(c_0(c_0(c_5(x1)))))))))))))))))))))))))))))) -> 3'(1'(2'(5'(2'(3'(0'(3'(1'(5'(1'(5'(2'(1'(5'(3'(3'(0'(3'(4'(4'(2'(2'(4'(1'(0'(3'(0'(0'(5'(x1)))))))))))))))))))))))))))))) [1]
   1'(c_3(c_2(c_3(c_3(c_5(c_1(c_1(c_0(c_4(c_4(c_5(x1)))))))))))) -> 5'(2'(0'(4'(5'(1'(3'(5'(5'(0'(x1)))))))))) [1]
   2'(c_3(c_4(c_5(c_5(c_4(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_2(c_0(x1))))))))))))))) -> 2'(3'(4'(5'(5'(4'(0'(5'(0'(0'(5'(2'(4'(4'(0'(x1))))))))))))))) [1]
   2'(c_5(c_3(c_3(c_0(c_4(c_5(c_2(c_0(c_3(c_0(x1))))))))))) -> 2'(5'(3'(3'(4'(0'(5'(2'(0'(3'(0'(x1))))))))))) [1]
   3'(c_4(c_2(c_3(c_2(c_4(c_2(c_5(c_2(c_0(c_4(x1))))))))))) -> 2'(5'(5'(2'(4'(4'(2'(4'(1'(3'(x1)))))))))) [1]
   4'(c_4(c_5(c_3(c_3(c_2(c_3(c_1(c_3(c_3(c_0(c_1(c_5(c_2(x1)))))))))))))) -> 4'(4'(5'(3'(3'(2'(3'(1'(3'(0'(3'(1'(5'(2'(x1)))))))))))))) [1]
   1'(c_5(c_2(c_1(c_1(c_2(c_4(c_0(c_0(c_5(c_5(c_0(c_4(c_2(c_4(c_5(c_0(c_2(c_1(x1))))))))))))))))))) -> 1'(5'(2'(1'(1'(2'(4'(0'(0'(5'(5'(0'(4'(2'(5'(4'(0'(2'(1'(x1))))))))))))))))))) [1]
   5'(c_1(c_1(c_1(c_1(c_4(c_1(c_1(c_2(c_0(c_5(c_5(c_5(c_5(c_1(c_5(c_1(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(x1))))))))))))))))))))))))) -> 5'(1'(1'(1'(1'(4'(1'(1'(2'(5'(0'(5'(5'(5'(1'(5'(1'(0'(1'(3'(2'(2'(3'(0'(2'(x1))))))))))))))))))))))))) [1]
   3'(c_3(c_4(c_2(c_5(c_0(c_0(c_5(c_3(c_3(c_2(x1))))))))))) -> 4'(3'(1'(1'(2'(1'(0'(2'(2'(3'(x1)))))))))) [1]
   4'(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(x1))))))))))) -> 3'(1'(4'(2'(1'(2'(2'(2'(5'(2'(x1)))))))))) [1]
   0'(c_5(c_5(c_0(c_4(c_5(c_0(c_1(c_0(c_0(c_4(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x1))))))))))))))))))))))))))) -> 5'(4'(0'(5'(0'(5'(0'(0'(1'(0'(2'(2'(2'(1'(4'(0'(3'(2'(1'(1'(0'(2'(2'(3'(1'(1'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_5(c_4(c_2(c_5(c_2(c_0(c_2(c_0(x1))))))))))) -> 3'(0'(0'(5'(4'(5'(5'(4'(4'(2'(x1)))))))))) [1]
   4'(c_3(c_1(c_5(c_3(c_0(c_3(c_5(c_3(c_4(c_3(x1))))))))))) -> 1'(4'(1'(5'(3'(2'(5'(5'(2'(4'(x1)))))))))) [1]
   2'(c_5(c_3(c_2(c_0(c_3(c_2(c_2(c_2(c_4(c_5(x1))))))))))) -> 3'(1'(3'(0'(2'(0'(4'(2'(0'(4'(x1)))))))))) [1]
   5'(c_3(c_1(c_2(c_4(c_4(c_3(c_2(c_4(c_3(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_5(c_4(c_4(c_4(c_3(c_4(c_0(x1)))))))))))))))))))))))) -> 5'(3'(1'(2'(4'(4'(3'(2'(5'(4'(3'(0'(0'(0'(5'(4'(4'(5'(4'(4'(4'(4'(3'(0'(x1)))))))))))))))))))))))) [1]
   3'(c_3(c_5(c_0(c_1(c_2(c_1(c_0(c_4(c_3(c_0(x1))))))))))) -> 2'(3'(1'(5'(2'(5'(0'(0'(3'(1'(x1)))))))))) [1]
   1'(c_5(c_2(c_3(c_4(c_1(c_2(c_5(c_4(c_4(c_2(c_1(c_5(c_0(c_0(c_0(c_3(c_3(c_4(c_3(c_2(c_5(c_0(c_5(c_0(c_3(x1)))))))))))))))))))))))))) -> 1'(5'(2'(3'(4'(1'(2'(5'(4'(4'(2'(1'(5'(0'(0'(3'(0'(3'(4'(3'(2'(5'(0'(5'(0'(3'(x1)))))))))))))))))))))))))) [1]
   2'(c_0(c_3(c_1(c_3(c_1(c_5(c_0(c_5(c_1(c_5(x1))))))))))) -> 5'(3'(1'(3'(5'(2'(4'(0'(4'(4'(x1)))))))))) [1]
   1'(c_4(c_4(c_2(c_1(c_2(c_2(c_3(c_2(c_5(c_5(x1))))))))))) -> 1'(1'(1'(5'(1'(0'(1'(5'(4'(2'(x1)))))))))) [1]
   3'(c_1(c_0(c_4(c_3(c_1(c_4(c_2(c_0(c_4(c_5(c_4(c_2(c_0(c_0(c_1(c_0(c_2(c_0(x1))))))))))))))))))) -> 3'(1'(0'(4'(3'(1'(2'(4'(0'(4'(5'(4'(2'(0'(0'(1'(0'(2'(0'(x1))))))))))))))))))) [1]
   4'(c_3(c_2(c_4(c_5(c_2(c_3(c_3(c_1(c_4(c_0(x1))))))))))) -> 4'(3'(2'(1'(4'(0'(2'(4'(2'(1'(x1)))))))))) [1]
   4'(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(x1))))))))))))))))))))))))) -> 4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(4'(x1))))))))))))))))))))))))) [1]
   3'(c_4(c_2(c_0(c_4(c_3(c_2(c_1(c_0(c_5(c_2(x1))))))))))) -> 1'(0'(3'(3'(2'(0'(2'(3'(1'(3'(x1)))))))))) [1]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(x1))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(0'(x1)))))))))) [1]
   3'(c_2(c_5(c_0(c_2(c_1(c_0(c_5(c_4(c_4(c_3(c_5(c_4(c_2(c_1(c_1(c_1(c_4(c_1(c_5(c_3(x1))))))))))))))))))))) -> 3'(2'(0'(5'(2'(1'(0'(5'(4'(4'(3'(5'(4'(2'(1'(1'(1'(4'(1'(5'(3'(x1))))))))))))))))))))) [1]
   3'(c_3(c_2(c_3(c_5(c_0(c_1(c_5(c_5(c_2(c_4(x1))))))))))) -> 3'(0'(1'(5'(4'(4'(0'(5'(2'(5'(x1)))))))))) [1]
   2'(c_3(c_4(c_4(c_3(c_0(c_1(c_2(c_3(c_4(c_4(c_4(c_2(c_3(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_3(c_3(x1))))))))))))))))))))))) -> 3'(1'(4'(4'(2'(4'(3'(0'(3'(2'(4'(2'(4'(1'(0'(0'(3'(1'(1'(3'(1'(3'(3'(x1))))))))))))))))))))))) [1]
   3'(c_1(c_0(c_3(c_0(c_2(c_4(c_1(c_2(c_1(c_4(c_1(c_0(c_2(c_4(c_2(c_4(c_2(c_3(c_2(c_5(c_0(c_3(c_2(c_4(c_2(c_0(c_5(x1)))))))))))))))))))))))))))) -> 3'(1'(0'(0'(3'(2'(4'(1'(2'(1'(4'(1'(0'(2'(4'(2'(4'(2'(3'(2'(5'(0'(3'(2'(4'(2'(0'(5'(x1)))))))))))))))))))))))))))) [1]
   0'(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_3(c_1(c_0(x1))))))))))) -> 3'(1'(0'(2'(2'(1'(4'(1'(5'(1'(x1)))))))))) [1]
   4'(c_1(c_3(c_0(c_1(c_0(c_4(c_3(c_3(c_1(c_1(x1))))))))))) -> 4'(2'(3'(4'(0'(3'(3'(2'(5'(0'(x1)))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encArg(cons_5(x_1)) -> 5'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4'(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2'(encArg(x_1)) [0]
   encode_3(x_1) -> 3'(encArg(x_1)) [0]
   encode_4(x_1) -> 4'(encArg(x_1)) [0]
   encode_5(x_1) -> 5'(encArg(x_1)) [0]
   5'(x0) -> c_5(x0) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   3'(x0) -> c_3(x0) [0]
   4'(x0) -> c_4(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   encode_3(v0) -> const [0]
   encode_4(v0) -> const [0]
   encode_5(v0) -> const [0]
   5'(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]
   3'(v0) -> const [0]
   4'(v0) -> const [0]

The TRS has the following type information:
1' :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
c_2 :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
c_0 :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
c_3 :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
c_4 :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
c_1 :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
c_5 :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
0' :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
2' :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
4' :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
3' :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
5' :: c_5:c_1:c_4:c_0:c_3:c_2:const -> c_5:c_1:c_4:c_0:c_3:c_2:const
encArg :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:const
cons_0 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_1 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_3 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_5 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_2 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
cons_4 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> cons_0:cons_1:cons_3:cons_5:cons_2:cons_4
encode_0 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:const
encode_1 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:const
encode_2 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:const
encode_3 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:const
encode_4 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:const
encode_5 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4 -> c_5:c_1:c_4:c_0:c_3:c_2:const
const :: c_5:c_1:c_4:c_0:c_3:c_2:const
const1 :: cons_0:cons_1:cons_3:cons_5:cons_2:cons_4

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

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

(32)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

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

   1'(c_2(c_0(c_3(c_0(c_0(c_4(c_4(c_4(c_1(c_5(x1))))))))))) -> 1'(0'(0'(2'(4'(4'(0'(4'(2'(3'(x1)))))))))) [1]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(c_0(c_1(c_3(c_4(c_2(c_4(c_5(c_5(c_1(c_2(c_3(c_1(c_1(c_0(c_4(c_1(c_5(c_1(c_5(c_4(c_2(c_4(c_2(x121)))))))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(0'(3'(1'(4'(2'(4'(5'(5'(1'(2'(3'(1'(1'(0'(4'(1'(5'(1'(5'(4'(2'(4'(2'(x121)))))))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(c_5(c_4(c_1(c_2(c_3(c_5(c_3(c_5(c_3(x122)))))))))))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(5'(1'(4'(5'(2'(3'(3'(5'(3'(x122)))))))))))))))))))))))))))))) [2]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(c_5(c_1(c_3(c_0(c_4(c_5(x123))))))))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(5'(3'(1'(0'(4'(5'(x123))))))))))))))))))))))))))) [2]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(x124))))))))))))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(1'(0'(3'(5'(3'(5'(0'(1'(1'(5'(x124)))))))))))))))))))))))))))))) [2]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(x125))))))))))))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(x125)))))))))))))))))))))))))))))) [2]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(c_4(c_5(c_3(c_4(c_0(c_0(c_1(c_2(c_0(c_0(c_4(c_0(c_0(c_3(c_5(c_3(x126))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(4'(5'(3'(4'(0'(0'(1'(2'(0'(0'(4'(0'(3'(0'(5'(3'(x126))))))))))))))))))))))))))))))))))))) [2]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(x127))))))))))))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(3'(5'(5'(1'(1'(3'(3'(4'(0'(4'(x127)))))))))))))))))))))))))))))) [2]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(c_2(c_5(c_2(c_5(c_5(c_4(c_0(c_0(c_0(c_0(x128))))))))))))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(3'(0'(1'(1'(1'(3'(1'(3'(0'(4'(x128)))))))))))))))))))))))))))))) [2]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(c_1(c_1(c_1(c_1(c_4(c_1(c_1(c_2(c_0(c_5(c_5(c_5(c_5(c_1(c_5(c_1(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(x129))))))))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(1'(1'(1'(1'(4'(1'(1'(2'(5'(0'(5'(5'(5'(1'(5'(1'(0'(1'(3'(2'(2'(3'(0'(2'(x129))))))))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(c_3(c_1(c_2(c_4(c_4(c_3(c_2(c_4(c_3(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_5(c_4(c_4(c_4(c_3(c_4(c_0(x130)))))))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(3'(1'(2'(4'(4'(3'(2'(5'(4'(3'(0'(0'(0'(5'(4'(4'(5'(4'(4'(4'(4'(3'(0'(x130)))))))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(x131))))))))))))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(2'(1'(4'(2'(0'(3'(2'(1'(3'(0'(x131)))))))))))))))))))))))))))))) [2]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(x1))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(c_5(x1))))))))))))))))))))) [1]
   4'(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(x1))))))))))))))))))))) -> 4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(const)))))))))))))))))))) [1]
   2'(c_1(c_4(c_1(c_2(c_2(c_0(c_5(c_1(c_2(c_5(c_1(c_2(c_1(c_1(c_4(c_5(c_5(c_3(c_5(c_3(c_1(c_2(c_1(c_1(c_0(c_3(c_1(c_2(c_0(c_3(c_0(c_0(c_4(c_4(c_4(c_1(c_5(x132)))))))))))))))))))))))))))))))))))))) -> 2'(1'(4'(1'(2'(2'(0'(5'(1'(2'(5'(2'(1'(1'(1'(4'(5'(5'(3'(5'(3'(1'(2'(1'(1'(0'(3'(1'(0'(0'(2'(4'(4'(0'(4'(2'(3'(x132))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_4(c_1(c_2(c_2(c_0(c_5(c_1(c_2(c_5(c_1(c_2(c_1(c_1(c_4(c_5(c_5(c_3(c_5(c_3(c_1(c_2(c_1(c_1(c_0(c_3(c_1(c_4(c_0(c_4(c_0(c_2(c_4(c_1(c_3(c_5(c_2(c_0(c_1(c_2(c_5(c_0(c_1(c_1(c_3(c_4(c_5(c_5(c_4(c_3(c_0(c_0(x133))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(4'(1'(2'(2'(0'(5'(1'(2'(5'(2'(1'(1'(1'(4'(5'(5'(3'(5'(3'(1'(2'(1'(1'(0'(3'(1'(4'(0'(4'(0'(2'(4'(1'(3'(5'(2'(0'(1'(2'(5'(0'(1'(1'(3'(4'(5'(5'(3'(4'(0'(0'(x133))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_1(c_4(c_1(c_2(c_2(c_0(c_5(c_1(c_2(c_5(c_1(c_2(c_1(c_1(c_4(c_5(c_5(c_3(c_5(c_3(c_1(c_2(c_1(c_1(c_0(c_3(c_1(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_4(c_0(c_1(c_0(c_3(c_4(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_4(c_0(c_5(c_2(c_1(c_4(c_5(c_0(x134)))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(4'(1'(2'(2'(0'(5'(1'(2'(5'(2'(1'(1'(1'(4'(5'(5'(3'(5'(3'(1'(2'(1'(1'(0'(3'(1'(3'(0'(3'(3'(3'(0'(4'(1'(0'(1'(0'(3'(4'(0'(1'(0'(4'(2'(1'(1'(4'(0'(5'(2'(1'(4'(5'(0'(x134)))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
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   3'(c_0(c_0(c_3(c_4(c_3(c_0(c_3(c_1(c_4(c_0(x1))))))))))) -> 2'(4'(3'(4'(0'(0'(3'(1'(0'(c_4(x1)))))))))) [1]
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   3'(c_3(c_2(c_0(c_2(c_2(c_0(c_0(c_5(c_5(c_5(c_4(c_2(c_0(c_1(c_3(c_4(c_5(c_5(x1))))))))))))))))))) -> 3'(3'(2'(0'(2'(2'(0'(0'(5'(5'(4'(5'(2'(0'(1'(3'(4'(5'(const)))))))))))))))))) [1]
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   5'(c_5(c_1(c_3(c_0(c_4(c_5(c_5(c_1(c_3(c_0(c_4(c_5(x1397))))))))))))) -> 5'(5'(3'(1'(0'(4'(5'(5'(3'(1'(0'(4'(5'(x1397))))))))))))) [2]
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   5'(c_5(c_1(c_3(c_0(c_4(c_5(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(x1399))))))))))))))))) -> 5'(5'(3'(1'(0'(4'(2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(x1399)))))))))))))))) [2]
   5'(c_5(c_1(c_3(c_0(c_4(c_5(c_4(c_5(c_3(c_4(c_0(c_0(c_1(c_2(c_0(c_0(c_4(c_0(c_0(c_3(c_5(c_3(x1400))))))))))))))))))))))) -> 5'(5'(3'(1'(0'(4'(5'(4'(5'(3'(4'(0'(0'(1'(2'(0'(0'(4'(0'(3'(0'(5'(3'(x1400))))))))))))))))))))))) [2]
   5'(c_5(c_1(c_3(c_0(c_4(c_5(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(x1401))))))))))))))))) -> 5'(5'(3'(1'(0'(4'(3'(5'(5'(1'(1'(3'(3'(4'(0'(4'(x1401)))))))))))))))) [2]
   5'(c_5(c_1(c_3(c_0(c_4(c_5(c_2(c_5(c_2(c_5(c_5(c_4(c_0(c_0(c_0(c_0(x1402))))))))))))))))) -> 5'(5'(3'(1'(0'(4'(3'(0'(1'(1'(1'(3'(1'(3'(0'(4'(x1402)))))))))))))))) [2]
   5'(c_5(c_1(c_3(c_0(c_4(c_5(c_1(c_1(c_1(c_1(c_4(c_1(c_1(c_2(c_0(c_5(c_5(c_5(c_5(c_1(c_5(c_1(c_0(c_1(c_3(c_2(c_2(c_3(c_0(c_2(x1403))))))))))))))))))))))))))))))) -> 5'(5'(3'(1'(0'(4'(5'(1'(1'(1'(1'(4'(1'(1'(2'(5'(0'(5'(5'(5'(1'(5'(1'(0'(1'(3'(2'(2'(3'(0'(2'(x1403))))))))))))))))))))))))))))))) [2]
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   5'(c_5(c_1(c_3(c_0(c_4(c_5(x1))))))) -> 5'(5'(3'(1'(0'(4'(c_5(x1))))))) [1]
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   5'(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(c_5(c_1(c_3(c_0(c_4(c_5(x1408))))))))))))))))) -> 1'(0'(3'(5'(3'(5'(0'(1'(1'(5'(5'(3'(1'(0'(4'(5'(x1408)))))))))))))))) [2]
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   5'(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(x1410))))))))))))))))))))) -> 1'(0'(3'(5'(3'(5'(0'(1'(1'(2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(x1410))))))))))))))))))) [2]
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   5'(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(c_2(c_5(c_2(c_5(c_5(c_4(c_0(c_0(c_0(c_0(x1413))))))))))))))))))))) -> 1'(0'(3'(5'(3'(5'(0'(1'(1'(3'(0'(1'(1'(1'(3'(1'(3'(0'(4'(x1413))))))))))))))))))) [2]
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   5'(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(x1))))))))))) -> 1'(0'(3'(5'(3'(5'(0'(1'(1'(c_5(x1)))))))))) [1]
   5'(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(x1))))))))))) -> 1'(0'(3'(5'(3'(5'(0'(1'(1'(const))))))))) [1]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_5(c_0(c_4(c_1(c_3(c_4(c_4(c_3(c_3(c_3(x1417))))))))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(0'(3'(0'(3'(4'(0'(4'(4'(4'(x1417))))))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_5(c_0(c_0(c_2(c_4(c_4(c_1(c_5(c_0(c_3(x1418))))))))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(1'(4'(3'(4'(3'(3'(2'(4'(3'(3'(x1418))))))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_4(c_5(c_5(c_4(c_4(c_5(c_3(c_4(c_2(c_1(c_0(c_1(c_5(c_0(c_2(c_1(c_3(c_4(c_2(c_4(c_1(x1419)))))))))))))))))))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(4'(5'(4'(5'(4'(5'(3'(4'(2'(1'(0'(1'(5'(0'(2'(1'(3'(4'(2'(1'(4'(x1419))))))))))))))))))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_5(c_0(c_4(c_3(c_2(c_3(c_2(c_4(c_3(c_3(x1420))))))))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(3'(5'(0'(0'(5'(5'(1'(5'(0'(0'(x1420))))))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_3(c_3(c_0(c_0(c_2(c_0(c_5(c_2(c_4(c_2(x1421))))))))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(5'(4'(5'(0'(3'(0'(3'(0'(5'(0'(x1421))))))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_1(c_0(c_2(c_3(c_4(x1422)))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(0'(1'(0'(3'(2'(4'(x1422))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_1(c_4(c_0(c_4(c_2(c_3(c_4(c_4(c_1(c_3(x1423))))))))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(3'(1'(5'(3'(2'(2'(1'(1'(5'(0'(x1423))))))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_2(c_1(c_3(c_4(c_3(c_5(c_4(c_3(c_5(c_5(x1424))))))))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(1'(0'(0'(1'(1'(4'(1'(4'(1'(3'(x1424))))))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_4(c_0(c_1(x1425))))))))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(5'(4'(3'(1'(5'(0'(0'(0'(4'(2'(x1425))))))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_2(c_1(c_3(c_2(c_0(c_5(c_4(c_2(c_0(c_5(x1426))))))))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(2'(2'(1'(1'(3'(1'(4'(5'(4'(0'(x1426))))))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_5(c_5(c_0(c_4(c_5(c_0(c_1(c_0(c_0(c_4(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x1427))))))))))))))))))))))))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(5'(4'(0'(5'(0'(5'(0'(0'(1'(0'(2'(2'(2'(1'(4'(0'(3'(2'(1'(1'(0'(2'(2'(3'(1'(1'(1'(x1427)))))))))))))))))))))))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_3(c_1(c_0(x1428))))))))))))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(3'(1'(0'(2'(2'(1'(4'(1'(5'(1'(x1428))))))))))))))))))) [2]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(x1))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(c_0(x1)))))))))) [1]
   5'(c_4(c_5(c_2(c_1(c_3(c_3(c_0(c_5(c_2(c_3(x1))))))))))) -> 2'(0'(1'(2'(2'(2'(2'(0'(2'(const))))))))) [1]
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   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(c_3(c_0(c_3(c_3(c_3(c_0(c_1(c_4(c_0(c_1(c_0(c_3(c_4(c_0(c_1(c_0(c_4(c_2(c_1(c_1(c_4(c_0(c_5(c_2(c_1(c_4(c_5(c_0(x1431))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(3'(0'(3'(3'(3'(0'(4'(1'(0'(1'(0'(3'(4'(0'(1'(0'(4'(2'(1'(1'(4'(0'(5'(2'(1'(4'(5'(0'(x1431))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(c_5(c_3(c_5(c_1(c_1(c_4(c_4(c_3(c_0(c_2(x1432))))))))))))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(0'(5'(0'(0'(0'(0'(2'(0'(1'(3'(x1432)))))))))))))))))))))))))))))))))))) [2]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(c_1(c_0(c_2(c_1(c_3(c_1(c_1(c_5(c_1(c_0(c_2(c_5(c_4(c_4(x1433))))))))))))))))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(1'(0'(1'(2'(3'(1'(1'(5'(1'(0'(2'(5'(4'(4'(x1433))))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(c_3(c_1(c_3(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1434))))))))))))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(2'(0'(2'(4'(5'(0'(1'(5'(2'(x1434)))))))))))))))))))))))))))))))))))) [2]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(c_0(c_3(c_5(c_4(c_1(x1435)))))))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(1'(3'(0'(5'(4'(x1435)))))))))))))))))))))))))))))))) [2]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(c_4(c_1(c_4(c_0(c_1(c_0(c_1(c_5(c_4(c_1(x1436))))))))))))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(3'(0'(3'(2'(2'(0'(1'(3'(0'(2'(x1436)))))))))))))))))))))))))))))))))))) [2]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(c_3(c_2(c_3(c_3(c_5(c_1(c_1(c_0(c_4(c_4(c_5(x1437)))))))))))))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(5'(2'(0'(4'(5'(1'(3'(5'(5'(0'(x1437)))))))))))))))))))))))))))))))))))) [2]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(c_5(c_2(c_1(c_1(c_2(c_4(c_0(c_0(c_5(c_5(c_0(c_4(c_2(c_4(c_5(c_0(c_2(c_1(x1438))))))))))))))))))))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(5'(2'(1'(1'(2'(4'(0'(0'(5'(5'(0'(4'(2'(5'(4'(0'(2'(1'(x1438))))))))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(c_0(c_0(c_5(c_4(c_2(c_5(c_2(c_0(c_2(c_0(x1439))))))))))))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(3'(0'(0'(5'(4'(5'(5'(4'(4'(2'(x1439)))))))))))))))))))))))))))))))))))) [2]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(c_5(c_2(c_3(c_4(c_1(c_2(c_5(c_4(c_4(c_2(c_1(c_5(c_0(c_0(c_0(c_3(c_3(c_4(c_3(c_2(c_5(c_0(c_5(c_0(c_3(x1440)))))))))))))))))))))))))))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(5'(2'(3'(4'(1'(2'(5'(4'(4'(2'(1'(5'(0'(0'(3'(0'(3'(4'(3'(2'(5'(0'(5'(0'(3'(x1440)))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(c_4(c_4(c_2(c_1(c_2(c_2(c_3(c_2(c_5(c_5(x1441))))))))))))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(1'(1'(5'(1'(0'(1'(5'(4'(2'(x1441)))))))))))))))))))))))))))))))))))) [2]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(x1))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(c_1(x1))))))))))))))))))))))))))) [1]
   4'(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(x1))))))))))))))))))))))))))) -> 4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(const)))))))))))))))))))))))))) [1]
   4'(c_3(c_5(c_5(c_1(c_4(c_4(c_0(c_0(c_3(x1)))))))))) -> 4'(3'(5'(5'(1'(4'(0'(4'(0'(3'(x1)))))))))) [1]
   5'(c_4(c_5(c_3(c_4(c_0(c_0(c_1(c_2(c_0(c_0(c_4(c_0(c_0(c_3(c_5(c_3(x1))))))))))))))))) -> 5'(4'(5'(3'(4'(0'(0'(1'(2'(0'(0'(4'(0'(3'(0'(5'(3'(x1))))))))))))))))) [1]
   4'(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(c_2(c_3(c_5(c_4(c_2(c_4(c_1(c_3(c_2(c_0(c_1(c_5(c_0(c_3(c_5(c_3(c_1(c_2(c_5(c_5(x1486))))))))))))))))))))))))))))))) -> 2'(0'(0'(0'(3'(3'(1'(2'(5'(4'(2'(3'(5'(4'(2'(4'(3'(1'(2'(0'(1'(5'(0'(3'(5'(3'(1'(2'(5'(5'(x1486)))))))))))))))))))))))))))))) [2]
   4'(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(c_1(c_5(c_4(c_4(c_0(c_2(c_0(c_0(c_0(c_4(x1487))))))))))))))))))))) -> 2'(0'(0'(0'(3'(3'(1'(2'(5'(0'(3'(3'(2'(4'(2'(1'(3'(3'(5'(x1487))))))))))))))))))) [2]
   4'(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(c_5(c_4(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_0(x1488))))))))))))))))))))) -> 2'(0'(0'(0'(3'(3'(1'(2'(5'(3'(5'(3'(4'(0'(3'(5'(2'(4'(0'(x1488))))))))))))))))))) [2]
   4'(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(c_1(c_1(c_2(c_4(c_4(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_4(c_0(c_0(c_3(c_0(c_4(c_4(c_2(c_3(c_3(x1489))))))))))))))))))))))))))))))))) -> 2'(0'(0'(0'(3'(3'(1'(2'(5'(4'(1'(1'(2'(4'(4'(2'(0'(0'(2'(0'(2'(1'(4'(0'(0'(3'(0'(4'(4'(2'(3'(3'(x1489)))))))))))))))))))))))))))))))) [2]
   4'(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(c_0(c_1(c_2(c_0(c_4(c_3(c_2(c_3(c_2(c_0(c_4(c_0(c_5(c_0(c_4(c_3(x1490))))))))))))))))))))))))))) -> 2'(0'(0'(0'(3'(3'(1'(2'(5'(4'(0'(1'(2'(0'(4'(3'(2'(2'(3'(0'(4'(0'(5'(0'(4'(3'(x1490)))))))))))))))))))))))))) [2]
   4'(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(c_4(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_5(c_2(c_2(c_3(c_2(c_0(c_2(c_0(c_4(c_3(c_3(c_0(c_3(c_5(c_0(c_5(c_1(x1491))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(0'(3'(3'(1'(2'(5'(4'(4'(0'(2'(0'(1'(1'(2'(2'(2'(5'(2'(2'(3'(2'(0'(2'(4'(0'(3'(3'(0'(3'(5'(0'(5'(1'(x1491)))))))))))))))))))))))))))))))))))) [2]
   4'(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(c_3(c_5(c_5(c_1(c_4(c_4(c_0(c_0(c_3(x1492)))))))))))))))))))) -> 2'(0'(0'(0'(3'(3'(1'(2'(5'(4'(3'(5'(5'(1'(4'(0'(4'(0'(3'(x1492))))))))))))))))))) [2]
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   4'(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(c_2(c_1(c_5(c_1(c_5(c_1(c_3(c_5(c_0(c_2(x1494))))))))))))))))))))) -> 2'(0'(0'(0'(3'(3'(1'(2'(5'(1'(3'(5'(3'(2'(5'(2'(0'(4'(4'(x1494))))))))))))))))))) [2]
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   3'(c_1(c_0(c_1(c_1(c_2(c_4(c_4(c_5(c_1(c_0(x1))))))))))) -> 0'(2'(1'(1'(5'(3'(0'(0'(0'(c_1(x1)))))))))) [1]
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   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(c_5(c_4(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_0(x1833))))))))))))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(3'(5'(3'(4'(0'(3'(5'(2'(4'(0'(x1833))))))))))))))))))) [2]
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   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(c_3(c_1(c_4(c_3(c_0(c_5(c_5(c_4(c_1(c_5(x1838))))))))))))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(2'(0'(0'(0'(3'(3'(1'(2'(5'(4'(x1838))))))))))))))))))) [2]
   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(c_2(c_1(c_5(c_1(c_5(c_1(c_3(c_5(c_0(c_2(x1839))))))))))))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(1'(3'(5'(3'(2'(5'(2'(0'(4'(4'(x1839))))))))))))))))))) [2]
   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(c_3(c_2(c_5(c_3(c_1(c_4(c_0(c_3(c_5(c_2(x1840))))))))))))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(0'(3'(1'(2'(3'(5'(1'(0'(2'(3'(x1840))))))))))))))))))) [2]
   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(c_3(c_3(c_0(c_2(c_4(c_2(c_3(c_4(c_3(c_5(c_2(c_4(c_2(c_2(c_0(c_0(c_3(c_0(c_0(c_0(c_2(c_5(c_2(x1841)))))))))))))))))))))))))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(4'(3'(0'(3'(2'(4'(2'(3'(4'(3'(5'(2'(4'(2'(2'(0'(0'(3'(0'(0'(0'(2'(5'(2'(x1841))))))))))))))))))))))))))))))))) [2]
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   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(x1844))))))))))))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(3'(1'(4'(2'(1'(2'(2'(2'(5'(2'(x1844))))))))))))))))))) [2]
   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(c_3(c_1(c_5(c_3(c_0(c_3(c_5(c_3(c_4(c_3(x1845))))))))))))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(1'(4'(1'(5'(3'(2'(5'(5'(2'(4'(x1845))))))))))))))))))) [2]
   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(c_3(c_2(c_4(c_5(c_2(c_3(c_3(c_1(c_4(c_0(x1846))))))))))))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(4'(3'(2'(1'(4'(0'(2'(4'(2'(1'(x1846))))))))))))))))))) [2]
   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(x1847))))))))))))))))))))))))))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(4'(x1847)))))))))))))))))))))))))))))))))) [2]
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   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(x1))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(c_4(x1)))))))))) [1]
   5'(c_4(c_5(c_1(c_0(c_3(c_1(c_0(c_5(c_3(c_5(x1))))))))))) -> 3'(5'(5'(1'(1'(3'(3'(4'(0'(const))))))))) [1]
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   5'(c_2(c_5(c_2(c_5(c_5(c_4(c_0(c_0(c_0(c_0(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(x1873))))))))))))))))))))) -> 3'(0'(1'(1'(1'(3'(1'(3'(0'(3'(1'(4'(2'(1'(2'(2'(2'(5'(2'(x1873))))))))))))))))))) [2]
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   5'(c_2(c_5(c_2(c_5(c_5(c_4(c_0(c_0(c_0(c_0(x1))))))))))) -> 3'(0'(1'(1'(1'(3'(1'(3'(0'(c_4(x1)))))))))) [1]
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   3'(c_3(c_4(c_2(c_5(c_0(c_0(c_5(c_3(c_3(c_2(x1))))))))))) -> 4'(3'(1'(1'(2'(1'(0'(2'(2'(3'(x1)))))))))) [1]
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   4'(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(c_5(c_5(c_3(c_1(c_5(c_0(c_2(c_2(c_3(c_3(x11064))))))))))))))))))))) -> 3'(1'(4'(2'(1'(2'(2'(2'(5'(4'(3'(4'(1'(1'(0'(0'(5'(0'(2'(x11064))))))))))))))))))) [2]
   4'(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(c_0(c_5(c_2(c_1(c_1(c_3(c_1(c_3(c_4(c_1(x11065))))))))))))))))))))) -> 3'(1'(4'(2'(1'(2'(2'(2'(5'(2'(3'(1'(3'(1'(4'(0'(3'(1'(3'(x11065))))))))))))))))))) [2]
   4'(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(c_3(c_0(c_3(c_3(c_3(c_3(c_2(c_5(c_5(c_4(c_0(c_0(c_3(c_5(x11066))))))))))))))))))))))))) -> 3'(1'(4'(2'(1'(2'(2'(2'(5'(2'(3'(0'(3'(3'(3'(3'(5'(2'(5'(4'(0'(3'(0'(5'(x11066)))))))))))))))))))))))) [2]
   4'(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(c_5(c_1(c_3(c_0(c_4(c_1(c_2(c_2(c_1(c_1(x11067))))))))))))))))))))) -> 3'(1'(4'(2'(1'(2'(2'(2'(5'(0'(3'(3'(3'(3'(5'(1'(1'(1'(0'(x11067))))))))))))))))))) [2]
   4'(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(c_4(c_3(c_2(c_0(c_1(c_5(c_2(x11068)))))))))))))))))) -> 3'(1'(4'(2'(1'(2'(2'(2'(5'(2'(4'(2'(3'(1'(0'(5'(2'(x11068))))))))))))))))) [2]
   4'(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_2(c_4(x11069))))))))))))))))))))) -> 3'(1'(4'(2'(1'(2'(2'(2'(5'(0'(1'(5'(1'(5'(0'(2'(5'(4'(0'(x11069))))))))))))))))))) [2]
   4'(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(c_3(c_2(c_0(c_2(c_4(c_1(c_3(c_5(c_4(c_3(x11070))))))))))))))))))))) -> 3'(1'(4'(2'(1'(2'(2'(2'(5'(1'(0'(3'(5'(2'(0'(5'(4'(3'(3'(x11070))))))))))))))))))) [2]
   4'(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(c_3(c_4(c_5(c_5(c_4(c_5(c_0(c_0(c_0(c_5(c_4(c_4(c_2(c_0(x11071))))))))))))))))))))))))) -> 3'(1'(4'(2'(1'(2'(2'(2'(5'(2'(3'(4'(5'(5'(4'(0'(5'(0'(0'(5'(2'(4'(4'(0'(x11071)))))))))))))))))))))))) [2]
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   2'(c_5(c_3(c_2(c_0(c_3(c_2(c_2(c_2(c_4(c_5(c_3(c_1(c_5(c_3(c_0(c_3(c_5(c_3(c_4(c_3(x11135))))))))))))))))))))) -> 3'(1'(3'(0'(2'(0'(4'(2'(0'(1'(4'(1'(5'(3'(2'(5'(5'(2'(4'(x11135))))))))))))))))))) [2]
   2'(c_5(c_3(c_2(c_0(c_3(c_2(c_2(c_2(c_4(c_5(c_3(c_2(c_4(c_5(c_2(c_3(c_3(c_1(c_4(c_0(x11136))))))))))))))))))))) -> 3'(1'(3'(0'(2'(0'(4'(2'(0'(4'(3'(2'(1'(4'(0'(2'(4'(2'(1'(x11136))))))))))))))))))) [2]
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   2'(c_5(c_3(c_2(c_0(c_3(c_2(c_2(c_2(c_4(c_5(x1))))))))))) -> 3'(1'(3'(0'(2'(0'(4'(2'(0'(c_4(x1)))))))))) [1]
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   3'(c_3(c_5(c_0(c_1(c_2(c_1(c_0(c_4(c_3(c_0(x1))))))))))) -> 2'(3'(1'(5'(2'(5'(0'(0'(3'(c_1(x1)))))))))) [1]
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   2'(c_0(c_3(c_1(c_3(c_1(c_5(c_0(c_5(c_1(c_5(c_5(c_4(c_1(c_3(c_3(c_3(c_2(c_2(c_3(c_0(x11188))))))))))))))))))))) -> 5'(3'(1'(3'(5'(2'(4'(0'(4'(3'(5'(3'(4'(0'(3'(5'(2'(4'(0'(x11188))))))))))))))))))) [2]
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   2'(c_0(c_3(c_1(c_3(c_1(c_5(c_0(c_5(c_1(c_5(c_3(c_1(c_5(c_3(c_0(c_3(c_5(c_3(c_4(c_3(x11200))))))))))))))))))))) -> 5'(3'(1'(3'(5'(2'(4'(0'(4'(1'(4'(1'(5'(3'(2'(5'(5'(2'(4'(x11200))))))))))))))))))) [2]
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   2'(c_0(c_3(c_1(c_3(c_1(c_5(c_0(c_5(c_1(c_5(x1))))))))))) -> 5'(3'(1'(3'(5'(2'(4'(0'(4'(c_4(x1)))))))))) [1]
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   4'(c_3(c_2(c_4(c_5(c_2(c_3(c_3(c_1(c_4(c_0(x1))))))))))) -> 4'(3'(2'(1'(4'(0'(2'(4'(2'(c_1(x1)))))))))) [1]
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   4'(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(c_0(c_5(c_2(c_1(c_3(c_1(c_4(c_1(c_2(c_5(x11256))))))))))))))))))))))))))))))))))) -> 4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(3'(1'(4'(2'(1'(2'(2'(2'(5'(2'(x11256)))))))))))))))))))))))))))))))))) [2]
   4'(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(c_3(c_1(c_5(c_3(c_0(c_3(c_5(c_3(c_4(c_3(x11257))))))))))))))))))))))))))))))))))) -> 4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(1'(4'(1'(5'(3'(2'(5'(5'(2'(4'(x11257)))))))))))))))))))))))))))))))))) [2]
   4'(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(c_3(c_2(c_4(c_5(c_2(c_3(c_3(c_1(c_4(c_0(x11258))))))))))))))))))))))))))))))))))) -> 4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(4'(3'(2'(1'(4'(0'(2'(4'(2'(1'(x11258)))))))))))))))))))))))))))))))))) [2]
   4'(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(x11259))))))))))))))))))))))))))))))))))))))))))))))))) -> 4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(4'(x11259))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   4'(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(c_1(c_3(c_0(c_1(c_0(c_4(c_3(c_3(c_1(c_1(x11260))))))))))))))))))))))))))))))))))) -> 4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(4'(2'(3'(4'(0'(3'(3'(2'(5'(0'(x11260)))))))))))))))))))))))))))))))))) [2]
   4'(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(x1))))))))))))))))))))))))) -> 4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(c_4(x1))))))))))))))))))))))))) [1]
   4'(c_3(c_5(c_5(c_3(c_4(c_4(c_5(c_3(c_0(c_0(c_4(c_5(c_2(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_5(c_0(c_0(c_4(x1))))))))))))))))))))))))) -> 4'(3'(5'(5'(3'(4'(4'(5'(3'(0'(0'(4'(2'(5'(0'(2'(5'(3'(1'(3'(1'(5'(0'(0'(const)))))))))))))))))))))))) [1]
   3'(c_4(c_2(c_0(c_4(c_3(c_2(c_1(c_0(c_5(c_2(x1))))))))))) -> 1'(0'(3'(3'(2'(0'(2'(3'(1'(3'(x1)))))))))) [1]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_5(c_0(c_4(c_1(c_3(c_4(c_4(c_3(c_3(c_3(x11283))))))))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(0'(0'(3'(0'(3'(4'(0'(4'(4'(4'(x11283))))))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_5(c_0(c_0(c_2(c_4(c_4(c_1(c_5(c_0(c_3(x11284))))))))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(1'(4'(3'(4'(3'(3'(2'(4'(3'(3'(x11284))))))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_4(c_5(c_5(c_4(c_4(c_5(c_3(c_4(c_2(c_1(c_0(c_1(c_5(c_0(c_2(c_1(c_3(c_4(c_2(c_4(c_1(x11285)))))))))))))))))))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(0'(4'(5'(4'(5'(4'(5'(3'(4'(2'(1'(0'(1'(5'(0'(2'(1'(3'(4'(2'(1'(4'(x11285))))))))))))))))))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_5(c_0(c_4(c_3(c_2(c_3(c_2(c_4(c_3(c_3(x11286))))))))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(3'(5'(0'(0'(5'(5'(1'(5'(0'(0'(x11286))))))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_3(c_3(c_0(c_0(c_2(c_0(c_5(c_2(c_4(c_2(x11287))))))))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(5'(4'(5'(0'(3'(0'(3'(0'(5'(0'(x11287))))))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_1(c_0(c_2(c_3(c_4(x11288)))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(0'(1'(0'(3'(2'(4'(x11288))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_1(c_4(c_0(c_4(c_2(c_3(c_4(c_4(c_1(c_3(x11289))))))))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(3'(1'(5'(3'(2'(2'(1'(1'(5'(0'(x11289))))))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_2(c_1(c_3(c_4(c_3(c_5(c_4(c_3(c_5(c_5(x11290))))))))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(1'(0'(0'(1'(1'(4'(1'(4'(1'(3'(x11290))))))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_3(c_3(c_2(c_2(c_2(c_0(c_2(c_4(c_0(c_1(x11291))))))))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(5'(4'(3'(1'(5'(0'(0'(0'(4'(2'(x11291))))))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_2(c_1(c_3(c_2(c_0(c_5(c_4(c_2(c_0(c_5(x11292))))))))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(2'(2'(1'(1'(3'(1'(4'(5'(4'(0'(x11292))))))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_5(c_5(c_0(c_4(c_5(c_0(c_1(c_0(c_0(c_4(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_3(c_1(c_1(c_3(c_1(c_2(c_1(x11293))))))))))))))))))))))))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(5'(4'(0'(5'(0'(5'(0'(0'(1'(0'(2'(2'(2'(1'(4'(0'(3'(2'(1'(1'(0'(2'(2'(3'(1'(1'(1'(x11293)))))))))))))))))))))))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(c_2(c_3(c_4(c_1(c_4(c_0(c_2(c_3(c_1(c_0(x11294))))))))))))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(3'(1'(0'(2'(2'(1'(4'(1'(5'(1'(x11294))))))))))))))))))) [2]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(x1))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(c_0(x1)))))))))) [1]
   5'(c_4(c_0(c_5(c_1(c_1(c_5(c_0(c_4(c_1(c_3(x1))))))))))) -> 2'(1'(4'(2'(0'(3'(2'(1'(3'(const))))))))) [1]
   3'(c_2(c_5(c_0(c_2(c_1(c_0(c_5(c_4(c_4(c_3(c_5(c_4(c_2(c_1(c_1(c_1(c_4(c_1(c_5(c_3(x1))))))))))))))))))))) -> 3'(2'(0'(5'(2'(1'(0'(5'(4'(4'(3'(5'(4'(2'(1'(1'(1'(4'(1'(5'(3'(x1))))))))))))))))))))) [1]
   3'(c_3(c_2(c_3(c_5(c_0(c_1(c_5(c_5(c_2(c_4(c_0(c_1(c_3(c_4(c_2(c_4(c_5(c_5(c_1(c_2(c_3(c_1(c_1(c_0(c_4(c_1(c_5(c_1(c_5(c_4(c_2(c_4(c_2(x11317)))))))))))))))))))))))))))))))))) -> 3'(0'(1'(5'(4'(4'(0'(5'(2'(5'(0'(3'(1'(4'(2'(4'(5'(5'(1'(2'(3'(1'(1'(0'(4'(1'(5'(1'(5'(4'(2'(4'(2'(x11317))))))))))))))))))))))))))))))))) [2]
   3'(c_3(c_2(c_3(c_5(c_0(c_1(c_5(c_5(c_2(c_4(c_5(c_4(c_1(c_2(c_3(c_5(c_3(c_5(c_3(x11318)))))))))))))))))))) -> 3'(0'(1'(5'(4'(4'(0'(5'(2'(5'(5'(1'(4'(5'(2'(3'(3'(5'(3'(x11318))))))))))))))))))) [2]
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   3'(c_3(c_2(c_3(c_5(c_0(c_1(c_5(c_5(c_2(c_4(c_4(c_0(c_0(c_4(c_5(c_5(c_2(c_3(c_5(c_2(x11320))))))))))))))))))))) -> 3'(0'(1'(5'(4'(4'(0'(5'(2'(1'(0'(3'(5'(3'(5'(0'(1'(1'(5'(x11320))))))))))))))))))) [2]
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