/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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 (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 55 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 15 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) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (18) CpxWeightedTrs
    (19) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 52 ms]
    (20) CpxWeightedTrs
    (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxTypedWeightedTrs
    (23) CompletionProof [UPPER BOUND(ID), 0 ms]
    (24) CpxTypedWeightedCompleteTrs
        (25) NarrowingProof [BOTH BOUNDS(ID, ID), 3382 ms]
        (26) CpxTypedWeightedCompleteTrs
        (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 205 ms]
        (28) CpxRNTS
        (29) SimplificationProof [BOTH BOUNDS(ID, ID), 138 ms]
        (30) CpxRNTS
    (31) CompletionProof [UPPER BOUND(ID), 0 ms]
    (32) CpxTypedWeightedCompleteTrs
        (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 33 ms]
        (34) CpxRNTS
(35) CpxTrsToCdtProof [UPPER BOUND(ID), 4343 ms]
(36) CdtProblem
    (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 70 ms]
    (38) CdtProblem
    (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (40) CdtProblem
    (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (42) CdtProblem
    (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 23.6 s]
    (44) CdtProblem
    (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7219 ms]
    (46) CdtProblem


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

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


The TRS R consists of the following rules:

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

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(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 (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   0(0(0(0(1(2(3(2(4(2(0(4(3(2(2(3(1(0(5(0(x1)))))))))))))))))))) -> 3(5(5(4(2(0(1(0(0(0(4(0(3(2(2(5(1(2(1(1(x1))))))))))))))))))))
   0(0(1(0(4(5(0(0(3(4(1(5(0(2(3(2(4(0(0(1(x1)))))))))))))))))))) -> 1(5(0(1(1(0(3(5(1(4(5(5(0(2(1(5(2(3(3(0(x1))))))))))))))))))))
   0(0(2(0(1(2(2(0(4(0(0(5(5(1(0(0(1(3(4(3(x1)))))))))))))))))))) -> 0(1(1(0(1(4(4(5(3(1(5(1(5(5(0(5(1(3(2(1(x1))))))))))))))))))))
   0(0(3(4(4(4(2(4(5(1(3(3(1(2(2(1(1(2(2(0(x1)))))))))))))))))))) -> 0(5(3(1(4(4(5(2(4(3(5(1(1(0(0(4(4(1(1(4(x1))))))))))))))))))))
   0(0(4(3(1(0(3(3(2(1(4(2(4(3(1(2(1(3(5(1(x1)))))))))))))))))))) -> 1(3(4(5(0(1(1(3(5(3(4(2(1(2(0(2(5(0(4(1(x1))))))))))))))))))))
   0(1(0(3(2(2(2(4(2(5(0(4(4(4(1(3(0(3(3(5(x1)))))))))))))))))))) -> 5(0(4(5(3(2(5(0(5(5(0(0(3(0(5(1(2(3(5(1(x1))))))))))))))))))))
   0(1(0(4(1(1(4(0(0(1(2(1(1(3(3(2(5(3(4(4(x1)))))))))))))))))))) -> 5(0(0(3(5(0(2(0(1(5(0(4(1(3(1(5(1(3(5(3(x1))))))))))))))))))))
   0(1(1(3(4(5(5(2(0(5(3(3(3(0(2(0(5(0(4(0(x1)))))))))))))))))))) -> 1(1(0(5(1(1(5(3(2(5(3(4(4(1(1(3(4(2(1(5(x1))))))))))))))))))))
   0(1(1(5(4(4(2(1(1(2(2(3(4(4(0(5(0(4(2(2(x1)))))))))))))))))))) -> 2(4(2(4(5(2(1(0(1(4(4(5(0(2(1(5(5(1(1(3(x1))))))))))))))))))))
   0(1(2(2(3(2(1(5(0(3(1(1(4(1(3(5(1(4(5(4(x1)))))))))))))))))))) -> 1(1(1(4(3(1(2(5(1(2(1(2(0(0(3(3(0(2(0(3(x1))))))))))))))))))))
   0(1(5(2(5(4(4(0(3(4(0(0(3(5(0(1(3(3(4(2(x1)))))))))))))))))))) -> 1(3(3(2(4(1(2(5(1(4(1(5(4(3(2(5(1(0(2(0(x1))))))))))))))))))))
   0(2(1(1(1(5(5(4(2(5(2(1(1(0(1(5(5(0(2(5(x1)))))))))))))))))))) -> 5(5(1(3(1(1(2(0(3(5(1(5(1(3(3(0(3(5(5(5(x1))))))))))))))))))))
   0(2(3(4(0(0(1(1(5(3(0(4(5(0(0(0(1(5(2(1(x1)))))))))))))))))))) -> 0(0(4(5(5(1(3(5(5(1(1(1(2(5(4(1(1(0(5(4(x1))))))))))))))))))))
   0(2(4(5(0(4(0(1(2(5(0(2(4(3(3(5(1(3(3(2(x1)))))))))))))))))))) -> 0(5(1(1(4(1(3(0(4(5(2(4(3(4(3(1(4(5(0(5(x1))))))))))))))))))))
   0(3(0(3(5(1(1(1(1(5(5(3(5(5(5(0(3(4(4(0(x1)))))))))))))))))))) -> 1(5(1(5(5(0(4(1(3(1(1(2(1(1(5(1(5(2(1(2(x1))))))))))))))))))))
   0(3(3(1(4(2(5(3(2(2(1(0(1(3(1(2(2(0(5(3(x1)))))))))))))))))))) -> 3(4(1(0(4(5(1(4(0(4(1(2(2(0(3(1(1(0(5(3(x1))))))))))))))))))))
   0(3(5(2(2(0(4(2(2(1(5(0(5(2(0(4(4(4(0(4(x1)))))))))))))))))))) -> 1(2(3(4(1(1(4(5(5(5(5(1(5(1(3(5(2(2(4(5(x1))))))))))))))))))))
   0(4(0(3(1(3(5(5(0(0(5(0(0(3(0(4(0(0(5(4(x1)))))))))))))))))))) -> 5(5(1(2(5(1(1(0(0(2(4(0(2(0(5(0(5(0(2(0(x1))))))))))))))))))))
   0(4(5(0(2(4(0(3(2(5(0(3(1(3(1(1(1(3(4(2(x1)))))))))))))))))))) -> 0(4(3(3(5(1(1(1(0(1(1(5(1(3(4(2(0(5(1(3(x1))))))))))))))))))))
   0(4(5(5(5(3(3(1(0(4(3(4(5(0(2(4(5(3(0(5(x1)))))))))))))))))))) -> 3(3(2(5(5(0(3(1(3(3(4(5(1(0(1(3(3(1(2(1(x1))))))))))))))))))))
   0(5(1(2(3(3(2(4(1(2(1(0(0(4(3(5(0(1(2(2(x1)))))))))))))))))))) -> 3(2(2(1(5(3(5(0(3(5(1(5(0(0(4(1(4(3(5(0(x1))))))))))))))))))))
   0(5(3(5(0(0(2(0(3(3(0(4(4(1(4(0(5(0(5(0(x1)))))))))))))))))))) -> 4(3(3(4(0(5(3(2(0(3(1(1(5(1(1(3(1(0(1(1(x1))))))))))))))))))))
   0(5(4(3(5(3(3(5(5(5(1(0(4(4(3(1(2(5(0(3(x1)))))))))))))))))))) -> 5(0(3(4(2(4(3(2(5(1(1(4(1(1(2(3(5(1(3(0(x1))))))))))))))))))))
   1(0(0(5(2(3(1(0(1(4(3(0(1(2(0(2(1(4(4(2(x1)))))))))))))))))))) -> 1(3(0(5(2(2(5(3(2(1(4(0(5(1(3(3(5(0(5(1(x1))))))))))))))))))))
   1(0(1(0(4(2(2(3(0(1(1(5(5(1(2(1(3(5(1(2(x1)))))))))))))))))))) -> 4(5(0(1(3(4(3(1(3(0(4(0(0(5(0(0(3(1(1(5(x1))))))))))))))))))))
   1(0(3(0(0(4(5(0(2(3(2(0(5(5(1(2(0(5(5(4(x1)))))))))))))))))))) -> 0(2(5(1(2(1(0(4(0(3(0(5(1(5(0(4(2(3(2(0(x1))))))))))))))))))))
   1(0(3(1(0(5(3(3(5(1(2(4(5(4(1(4(4(4(3(5(x1)))))))))))))))))))) -> 5(1(1(4(1(5(5(1(4(1(1(4(3(2(1(4(4(1(3(5(x1))))))))))))))))))))
   1(0(3(3(1(4(0(0(4(3(3(0(4(2(3(5(5(0(3(5(x1)))))))))))))))))))) -> 5(5(2(1(1(0(0(2(5(5(5(1(1(1(0(4(1(3(2(5(x1))))))))))))))))))))
   1(0(3(3(1(4(5(3(2(0(4(4(1(1(4(3(0(4(5(2(x1)))))))))))))))))))) -> 1(0(0(5(0(4(3(0(0(3(4(3(1(2(3(2(5(1(0(3(x1))))))))))))))))))))
   1(0(4(4(1(1(3(2(3(2(4(5(4(5(0(1(5(5(4(1(x1)))))))))))))))))))) -> 1(0(2(0(3(5(0(5(1(5(4(0(0(0(1(0(2(4(2(3(x1))))))))))))))))))))
   1(1(0(4(1(2(0(5(1(3(0(1(4(0(0(0(5(4(3(2(x1)))))))))))))))))))) -> 5(5(1(4(1(0(1(0(1(2(3(1(3(0(0(5(1(3(1(3(x1))))))))))))))))))))
   1(1(2(2(4(4(2(1(3(3(1(1(3(3(1(5(0(5(1(3(x1)))))))))))))))))))) -> 1(1(0(1(4(3(1(3(2(0(1(5(0(5(5(4(4(4(5(0(x1))))))))))))))))))))
   1(1(3(3(5(0(3(2(5(0(4(0(0(1(5(4(3(1(2(2(x1)))))))))))))))))))) -> 5(1(5(4(1(1(0(1(4(2(2(5(1(2(5(5(1(3(5(1(x1))))))))))))))))))))
   1(1(3(5(0(1(1(0(0(1(1(5(4(2(0(1(2(4(5(4(x1)))))))))))))))))))) -> 1(5(0(3(2(1(4(5(1(0(5(3(5(1(2(3(1(3(1(1(x1))))))))))))))))))))
   1(1(4(5(1(1(2(5(1(2(0(1(1(4(2(0(5(4(4(4(x1)))))))))))))))))))) -> 5(5(0(1(4(5(1(1(3(2(5(5(0(3(2(0(1(2(4(0(x1))))))))))))))))))))
   1(1(5(4(4(1(2(2(5(5(0(3(5(2(5(3(0(4(1(5(x1)))))))))))))))))))) -> 4(2(1(0(4(1(1(1(4(0(0(3(0(1(5(0(1(5(1(0(x1))))))))))))))))))))
   1(1(5(5(5(4(2(5(5(0(0(0(5(3(0(4(0(4(2(1(x1)))))))))))))))))))) -> 1(2(4(1(2(0(0(5(5(1(4(3(3(0(1(0(0(4(3(2(x1))))))))))))))))))))
   1(2(0(5(2(3(3(0(2(4(5(1(5(4(2(4(1(4(1(3(x1)))))))))))))))))))) -> 2(3(3(3(1(5(1(3(5(1(1(5(2(3(3(5(0(2(0(1(x1))))))))))))))))))))
   1(4(1(3(4(1(0(3(4(4(3(5(4(5(5(0(1(0(0(1(x1)))))))))))))))))))) -> 5(1(5(0(3(1(2(3(3(1(4(0(1(5(5(0(1(2(4(4(x1))))))))))))))))))))
   1(4(3(1(5(0(2(5(4(3(1(5(0(1(2(2(5(3(5(2(x1)))))))))))))))))))) -> 5(5(2(1(3(1(0(2(3(4(1(5(0(3(2(1(3(3(1(1(x1))))))))))))))))))))
   1(4(3(3(0(5(0(5(4(2(1(2(5(0(3(2(1(0(1(4(x1)))))))))))))))))))) -> 1(1(3(3(5(4(3(2(1(4(1(5(3(1(4(1(1(4(5(1(x1))))))))))))))))))))
   1(4(4(1(0(1(5(5(4(0(0(3(1(4(0(4(5(5(0(1(x1)))))))))))))))))))) -> 1(1(3(1(2(0(0(5(1(0(2(3(0(1(5(1(4(3(1(3(x1))))))))))))))))))))
   1(4(5(3(4(1(3(1(1(3(1(4(3(3(2(0(5(4(4(5(x1)))))))))))))))))))) -> 0(4(4(1(2(1(2(1(3(0(5(5(1(2(3(4(0(1(3(5(x1))))))))))))))))))))
   1(5(1(2(4(5(1(4(3(2(1(5(1(2(1(2(1(4(0(3(x1)))))))))))))))))))) -> 0(5(0(0(5(0(3(2(0(1(4(2(0(5(1(1(5(0(2(4(x1))))))))))))))))))))
   1(5(1(5(1(4(1(0(0(3(3(3(0(2(1(0(0(0(0(3(x1)))))))))))))))))))) -> 1(1(3(2(5(1(0(0(0(1(4(1(5(0(1(5(5(0(0(0(x1))))))))))))))))))))
   1(5(3(0(4(0(2(5(4(5(2(0(3(2(0(5(0(3(4(3(x1)))))))))))))))))))) -> 5(5(0(2(0(1(2(3(0(1(5(3(2(2(5(1(5(3(4(4(x1))))))))))))))))))))
   2(0(5(3(1(2(4(2(3(0(3(5(4(2(5(2(1(3(5(1(x1)))))))))))))))))))) -> 4(3(1(1(4(4(0(4(2(4(2(0(5(4(2(4(5(0(0(3(x1))))))))))))))))))))
   2(1(0(2(5(1(1(0(1(4(3(3(3(1(0(4(3(0(5(2(x1)))))))))))))))))))) -> 1(3(4(5(1(5(1(4(0(5(0(2(0(0(0(3(0(2(1(5(x1))))))))))))))))))))
   2(1(3(5(1(5(1(0(4(2(2(3(3(1(1(3(3(1(5(2(x1)))))))))))))))))))) -> 3(2(1(4(5(0(0(3(1(3(5(1(1(1(0(0(4(5(2(5(x1))))))))))))))))))))
   2(1(4(2(1(4(1(2(2(1(4(1(2(4(3(4(2(3(0(1(x1)))))))))))))))))))) -> 1(2(3(2(3(0(0(4(4(4(0(3(2(3(5(0(1(5(1(3(x1))))))))))))))))))))
   2(3(1(1(1(2(1(3(2(0(1(4(3(5(0(4(3(1(2(2(x1)))))))))))))))))))) -> 1(0(4(2(0(0(5(1(0(5(5(0(3(0(0(1(0(2(5(0(x1))))))))))))))))))))
   2(5(1(1(1(5(2(0(5(5(2(4(0(2(5(0(5(4(3(2(x1)))))))))))))))))))) -> 1(3(3(1(5(3(2(3(2(5(4(0(3(3(3(0(2(5(0(1(x1))))))))))))))))))))
   2(5(1(3(0(5(3(5(1(2(4(4(1(2(0(0(5(2(1(5(x1)))))))))))))))))))) -> 4(2(3(1(4(3(1(5(5(2(1(2(3(3(0(4(4(5(1(5(x1))))))))))))))))))))
   2(5(3(2(4(2(0(2(5(2(1(2(0(5(1(2(1(4(0(0(x1)))))))))))))))))))) -> 1(1(5(4(5(1(2(5(4(5(4(0(5(2(5(2(0(3(1(4(x1))))))))))))))))))))
   2(5(4(0(1(3(2(1(4(5(0(0(0(0(5(4(1(4(4(5(x1)))))))))))))))))))) -> 2(1(2(5(1(1(4(4(3(4(5(1(1(0(1(0(3(5(0(1(x1))))))))))))))))))))
   3(0(0(0(0(3(4(1(2(0(3(2(4(3(4(4(0(4(4(1(x1)))))))))))))))))))) -> 1(1(4(4(0(2(1(4(0(2(0(4(5(1(3(3(0(5(5(4(x1))))))))))))))))))))
   3(0(1(1(1(1(2(3(4(5(2(5(5(3(1(2(1(3(3(3(x1)))))))))))))))))))) -> 3(4(4(0(5(1(1(2(0(4(3(0(1(1(0(0(1(0(4(2(x1))))))))))))))))))))
   3(0(4(3(3(5(3(2(3(3(5(0(4(2(0(0(3(0(0(0(x1)))))))))))))))))))) -> 5(1(2(1(5(4(3(0(3(4(1(0(0(5(1(0(0(4(5(3(x1))))))))))))))))))))
   3(1(3(0(1(4(1(3(4(0(2(1(1(4(5(4(0(0(1(3(x1)))))))))))))))))))) -> 4(5(1(0(4(1(5(1(0(4(5(5(1(3(0(4(5(5(1(0(x1))))))))))))))))))))
   3(1(3(1(1(0(4(2(4(2(2(2(3(0(0(5(2(5(0(5(x1)))))))))))))))))))) -> 4(1(3(3(0(1(5(4(5(2(4(3(3(5(3(1(3(4(0(5(x1))))))))))))))))))))
   3(1(3(1(5(0(2(5(3(1(3(1(3(4(0(0(0(1(5(4(x1)))))))))))))))))))) -> 1(5(1(4(0(0(1(2(0(1(3(2(1(5(1(0(1(5(3(2(x1))))))))))))))))))))
   3(1(4(2(3(2(0(5(0(3(1(0(1(2(3(5(4(0(1(4(x1)))))))))))))))))))) -> 2(4(1(2(1(5(0(0(5(3(2(4(5(0(2(3(0(1(1(1(x1))))))))))))))))))))
   3(2(5(1(4(4(3(1(1(1(5(0(2(3(3(0(4(1(1(3(x1)))))))))))))))))))) -> 1(1(3(3(1(3(5(3(3(0(3(5(0(4(5(0(4(1(5(1(x1))))))))))))))))))))
   3(3(1(3(1(3(0(2(0(2(4(2(1(1(2(4(5(0(3(4(x1)))))))))))))))))))) -> 2(2(0(0(1(5(2(5(0(0(5(1(1(0(1(2(2(5(0(4(x1))))))))))))))))))))
   3(3(3(5(4(4(0(5(4(1(4(3(1(3(3(2(1(5(3(1(x1)))))))))))))))))))) -> 1(3(3(4(0(3(4(1(2(1(1(0(0(2(4(5(4(1(4(0(x1))))))))))))))))))))
   3(3(4(2(2(5(1(4(1(1(1(2(4(1(4(3(0(4(1(5(x1)))))))))))))))))))) -> 3(0(5(1(3(3(1(4(1(3(1(2(3(5(3(3(1(4(4(5(x1))))))))))))))))))))
   3(3(4(5(3(0(5(0(1(3(2(2(5(0(3(3(2(2(0(5(x1)))))))))))))))))))) -> 0(3(1(4(0(1(3(5(3(3(1(1(5(2(1(4(5(0(3(4(x1))))))))))))))))))))
   3(4(2(4(1(1(1(3(0(1(0(3(2(3(2(1(4(3(2(0(x1)))))))))))))))))))) -> 5(3(4(2(1(1(0(2(0(0(1(2(5(2(0(1(3(5(0(4(x1))))))))))))))))))))
   3(4(2(5(5(0(3(0(0(0(3(4(1(1(0(1(1(5(3(1(x1)))))))))))))))))))) -> 3(5(5(2(0(0(0(5(0(0(0(5(5(1(0(5(0(0(0(1(x1))))))))))))))))))))
   3(5(0(1(5(0(3(3(2(3(5(3(2(1(4(1(3(3(1(0(x1)))))))))))))))))))) -> 5(5(0(2(0(5(1(4(5(5(1(1(2(1(3(1(5(4(0(4(x1))))))))))))))))))))
   3(5(4(2(0(1(0(1(0(1(3(1(2(2(1(1(1(4(3(0(x1)))))))))))))))))))) -> 2(5(2(1(1(1(1(1(4(1(1(3(2(1(5(0(5(0(0(2(x1))))))))))))))))))))
   3(5(5(5(3(0(1(4(0(3(3(3(0(5(1(0(1(1(5(4(x1)))))))))))))))))))) -> 4(1(1(2(2(3(1(3(1(1(3(3(5(1(0(1(5(0(2(5(x1))))))))))))))))))))
   4(0(3(4(3(0(5(0(3(0(2(3(3(1(0(3(0(4(0(5(x1)))))))))))))))))))) -> 0(1(4(4(3(1(1(3(4(4(0(1(3(4(5(0(1(1(0(5(x1))))))))))))))))))))
   4(1(2(2(3(0(1(1(2(1(5(4(4(1(4(2(1(2(5(2(x1)))))))))))))))))))) -> 5(5(5(1(1(0(4(1(1(1(2(2(4(5(2(2(0(5(5(0(x1))))))))))))))))))))
   4(2(3(3(1(2(3(2(1(1(1(0(0(4(5(1(2(0(5(0(x1)))))))))))))))))))) -> 5(1(0(0(1(3(0(4(1(1(0(3(1(0(1(4(1(5(0(5(x1))))))))))))))))))))
   4(3(1(4(1(1(1(1(3(3(0(0(5(5(0(2(5(3(1(1(x1)))))))))))))))))))) -> 0(0(1(3(3(3(1(3(4(2(1(5(1(1(4(1(1(0(3(1(x1))))))))))))))))))))
   4(3(4(1(3(1(4(4(1(4(0(1(3(4(5(4(2(2(5(1(x1)))))))))))))))))))) -> 3(4(3(3(5(3(3(2(1(2(0(4(0(3(5(1(1(0(2(0(x1))))))))))))))))))))
   4(4(0(2(2(0(1(2(2(3(2(4(5(1(0(3(0(5(4(0(x1)))))))))))))))))))) -> 1(2(1(5(4(1(0(1(2(0(2(0(4(4(5(4(3(3(4(5(x1))))))))))))))))))))
   4(4(3(2(3(1(2(0(4(2(0(0(3(5(1(0(5(5(3(5(x1)))))))))))))))))))) -> 3(2(1(5(1(3(0(1(1(0(1(5(1(1(4(1(5(5(4(1(x1))))))))))))))))))))
   4(5(1(4(3(1(1(2(0(0(4(2(4(1(1(0(5(4(3(3(x1)))))))))))))))))))) -> 1(3(1(1(4(3(1(2(1(5(2(2(3(3(3(1(1(0(3(4(x1))))))))))))))))))))
   4(5(5(3(3(0(2(4(0(4(3(5(0(4(0(4(0(0(0(4(x1)))))))))))))))))))) -> 3(2(1(4(4(0(2(1(1(0(1(1(5(2(2(5(5(0(0(2(x1))))))))))))))))))))
   5(0(1(3(2(1(1(4(4(3(4(3(1(5(5(1(2(2(4(5(x1)))))))))))))))))))) -> 3(1(1(2(0(1(2(1(0(3(1(1(4(5(3(5(1(1(5(1(x1))))))))))))))))))))
   5(0(3(2(5(1(0(4(3(3(0(1(3(2(5(0(1(5(2(5(x1)))))))))))))))))))) -> 1(4(4(1(1(0(3(3(3(1(3(1(1(5(0(3(5(5(1(1(x1))))))))))))))))))))
   5(0(3(3(1(0(3(1(5(3(3(2(5(0(0(3(3(4(3(5(x1)))))))))))))))))))) -> 0(1(0(2(3(2(0(5(1(1(2(0(1(3(4(1(4(5(4(5(x1))))))))))))))))))))
   5(0(3(3(2(0(1(0(5(1(1(0(0(1(2(4(2(4(1(3(x1)))))))))))))))))))) -> 5(5(3(1(3(5(1(5(0(1(0(1(0(0(0(5(5(5(1(2(x1))))))))))))))))))))
   5(0(3(4(3(1(5(5(1(3(4(0(5(3(1(2(5(3(5(0(x1)))))))))))))))))))) -> 4(1(0(0(1(5(1(5(1(2(0(1(5(3(4(4(5(5(1(4(x1))))))))))))))))))))
   5(0(4(2(1(3(5(5(0(3(5(2(0(2(2(5(3(0(0(5(x1)))))))))))))))))))) -> 3(5(5(0(3(1(5(1(0(1(3(2(0(4(3(4(5(1(4(1(x1))))))))))))))))))))
   5(0(5(0(2(0(4(3(4(2(3(4(2(1(5(4(0(1(3(5(x1)))))))))))))))))))) -> 5(0(3(0(5(4(2(0(3(5(1(5(4(3(0(0(0(1(5(5(x1))))))))))))))))))))
   5(1(2(1(3(0(3(5(5(2(2(3(3(1(5(2(0(0(5(3(x1)))))))))))))))))))) -> 2(0(0(1(2(4(1(3(0(0(1(5(3(4(2(4(1(2(5(0(x1))))))))))))))))))))
   5(1(3(4(2(1(5(1(1(4(5(0(2(1(0(3(2(1(0(0(x1)))))))))))))))))))) -> 0(1(5(1(4(1(5(2(0(5(5(5(1(5(1(0(0(2(0(3(x1))))))))))))))))))))
   5(1(3(5(2(5(4(4(5(1(5(5(1(0(0(1(4(3(1(2(x1)))))))))))))))))))) -> 5(0(5(5(1(5(0(3(2(3(4(5(2(1(0(0(0(1(3(5(x1))))))))))))))))))))
   5(2(0(3(4(2(0(0(1(0(1(2(2(3(1(1(2(4(5(0(x1)))))))))))))))))))) -> 1(3(2(1(5(4(1(3(3(0(3(4(1(4(5(0(1(5(0(5(x1))))))))))))))))))))
   5(2(0(5(0(5(5(5(5(2(2(2(5(1(2(0(5(5(4(5(x1)))))))))))))))))))) -> 5(1(2(3(0(1(0(4(2(1(5(0(1(0(1(5(5(5(2(3(x1))))))))))))))))))))
   5(2(3(4(3(2(0(1(1(2(3(1(5(1(1(4(1(4(4(3(x1)))))))))))))))))))) -> 5(1(0(4(3(0(1(0(1(0(2(3(4(2(2(5(5(1(0(4(x1))))))))))))))))))))
   5(3(3(2(0(3(4(3(2(5(0(2(5(0(3(0(5(1(5(5(x1)))))))))))))))))))) -> 3(1(2(3(0(1(5(1(1(5(5(1(0(0(3(5(2(1(2(1(x1))))))))))))))))))))
   5(3(4(3(2(0(1(5(1(1(1(4(3(5(5(4(5(5(2(3(x1)))))))))))))))))))) -> 5(1(4(4(3(2(5(5(2(5(1(4(1(1(3(3(0(5(3(1(x1))))))))))))))))))))
   5(4(4(3(0(5(1(3(1(0(1(1(3(0(3(5(2(0(4(2(x1)))))))))))))))))))) -> 4(0(5(0(3(4(3(1(1(2(2(0(2(0(2(1(1(4(0(5(x1))))))))))))))))))))
   5(5(0(2(0(5(3(1(2(3(2(2(2(0(4(5(4(0(3(5(x1)))))))))))))))))))) -> 1(0(4(0(2(4(3(5(5(3(1(0(2(0(3(1(2(4(5(5(x1))))))))))))))))))))
   5(5(1(1(1(3(3(5(2(4(1(1(1(1(3(3(0(5(4(4(x1)))))))))))))))))))) -> 0(5(2(1(1(1(1(4(0(5(4(3(3(5(0(4(2(1(3(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_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(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: INNERMOST
----------------------------------------

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

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


The TRS R consists of the following rules:

   0(0(0(0(1(2(3(2(4(2(0(4(3(2(2(3(1(0(5(0(x1)))))))))))))))))))) -> 3(5(5(4(2(0(1(0(0(0(4(0(3(2(2(5(1(2(1(1(x1))))))))))))))))))))
   0(0(1(0(4(5(0(0(3(4(1(5(0(2(3(2(4(0(0(1(x1)))))))))))))))))))) -> 1(5(0(1(1(0(3(5(1(4(5(5(0(2(1(5(2(3(3(0(x1))))))))))))))))))))
   0(0(2(0(1(2(2(0(4(0(0(5(5(1(0(0(1(3(4(3(x1)))))))))))))))))))) -> 0(1(1(0(1(4(4(5(3(1(5(1(5(5(0(5(1(3(2(1(x1))))))))))))))))))))
   0(0(3(4(4(4(2(4(5(1(3(3(1(2(2(1(1(2(2(0(x1)))))))))))))))))))) -> 0(5(3(1(4(4(5(2(4(3(5(1(1(0(0(4(4(1(1(4(x1))))))))))))))))))))
   0(0(4(3(1(0(3(3(2(1(4(2(4(3(1(2(1(3(5(1(x1)))))))))))))))))))) -> 1(3(4(5(0(1(1(3(5(3(4(2(1(2(0(2(5(0(4(1(x1))))))))))))))))))))
   0(1(0(3(2(2(2(4(2(5(0(4(4(4(1(3(0(3(3(5(x1)))))))))))))))))))) -> 5(0(4(5(3(2(5(0(5(5(0(0(3(0(5(1(2(3(5(1(x1))))))))))))))))))))
   0(1(0(4(1(1(4(0(0(1(2(1(1(3(3(2(5(3(4(4(x1)))))))))))))))))))) -> 5(0(0(3(5(0(2(0(1(5(0(4(1(3(1(5(1(3(5(3(x1))))))))))))))))))))
   0(1(1(3(4(5(5(2(0(5(3(3(3(0(2(0(5(0(4(0(x1)))))))))))))))))))) -> 1(1(0(5(1(1(5(3(2(5(3(4(4(1(1(3(4(2(1(5(x1))))))))))))))))))))
   0(1(1(5(4(4(2(1(1(2(2(3(4(4(0(5(0(4(2(2(x1)))))))))))))))))))) -> 2(4(2(4(5(2(1(0(1(4(4(5(0(2(1(5(5(1(1(3(x1))))))))))))))))))))
   0(1(2(2(3(2(1(5(0(3(1(1(4(1(3(5(1(4(5(4(x1)))))))))))))))))))) -> 1(1(1(4(3(1(2(5(1(2(1(2(0(0(3(3(0(2(0(3(x1))))))))))))))))))))
   0(1(5(2(5(4(4(0(3(4(0(0(3(5(0(1(3(3(4(2(x1)))))))))))))))))))) -> 1(3(3(2(4(1(2(5(1(4(1(5(4(3(2(5(1(0(2(0(x1))))))))))))))))))))
   0(2(1(1(1(5(5(4(2(5(2(1(1(0(1(5(5(0(2(5(x1)))))))))))))))))))) -> 5(5(1(3(1(1(2(0(3(5(1(5(1(3(3(0(3(5(5(5(x1))))))))))))))))))))
   0(2(3(4(0(0(1(1(5(3(0(4(5(0(0(0(1(5(2(1(x1)))))))))))))))))))) -> 0(0(4(5(5(1(3(5(5(1(1(1(2(5(4(1(1(0(5(4(x1))))))))))))))))))))
   0(2(4(5(0(4(0(1(2(5(0(2(4(3(3(5(1(3(3(2(x1)))))))))))))))))))) -> 0(5(1(1(4(1(3(0(4(5(2(4(3(4(3(1(4(5(0(5(x1))))))))))))))))))))
   0(3(0(3(5(1(1(1(1(5(5(3(5(5(5(0(3(4(4(0(x1)))))))))))))))))))) -> 1(5(1(5(5(0(4(1(3(1(1(2(1(1(5(1(5(2(1(2(x1))))))))))))))))))))
   0(3(3(1(4(2(5(3(2(2(1(0(1(3(1(2(2(0(5(3(x1)))))))))))))))))))) -> 3(4(1(0(4(5(1(4(0(4(1(2(2(0(3(1(1(0(5(3(x1))))))))))))))))))))
   0(3(5(2(2(0(4(2(2(1(5(0(5(2(0(4(4(4(0(4(x1)))))))))))))))))))) -> 1(2(3(4(1(1(4(5(5(5(5(1(5(1(3(5(2(2(4(5(x1))))))))))))))))))))
   0(4(0(3(1(3(5(5(0(0(5(0(0(3(0(4(0(0(5(4(x1)))))))))))))))))))) -> 5(5(1(2(5(1(1(0(0(2(4(0(2(0(5(0(5(0(2(0(x1))))))))))))))))))))
   0(4(5(0(2(4(0(3(2(5(0(3(1(3(1(1(1(3(4(2(x1)))))))))))))))))))) -> 0(4(3(3(5(1(1(1(0(1(1(5(1(3(4(2(0(5(1(3(x1))))))))))))))))))))
   0(4(5(5(5(3(3(1(0(4(3(4(5(0(2(4(5(3(0(5(x1)))))))))))))))))))) -> 3(3(2(5(5(0(3(1(3(3(4(5(1(0(1(3(3(1(2(1(x1))))))))))))))))))))
   0(5(1(2(3(3(2(4(1(2(1(0(0(4(3(5(0(1(2(2(x1)))))))))))))))))))) -> 3(2(2(1(5(3(5(0(3(5(1(5(0(0(4(1(4(3(5(0(x1))))))))))))))))))))
   0(5(3(5(0(0(2(0(3(3(0(4(4(1(4(0(5(0(5(0(x1)))))))))))))))))))) -> 4(3(3(4(0(5(3(2(0(3(1(1(5(1(1(3(1(0(1(1(x1))))))))))))))))))))
   0(5(4(3(5(3(3(5(5(5(1(0(4(4(3(1(2(5(0(3(x1)))))))))))))))))))) -> 5(0(3(4(2(4(3(2(5(1(1(4(1(1(2(3(5(1(3(0(x1))))))))))))))))))))
   1(0(0(5(2(3(1(0(1(4(3(0(1(2(0(2(1(4(4(2(x1)))))))))))))))))))) -> 1(3(0(5(2(2(5(3(2(1(4(0(5(1(3(3(5(0(5(1(x1))))))))))))))))))))
   1(0(1(0(4(2(2(3(0(1(1(5(5(1(2(1(3(5(1(2(x1)))))))))))))))))))) -> 4(5(0(1(3(4(3(1(3(0(4(0(0(5(0(0(3(1(1(5(x1))))))))))))))))))))
   1(0(3(0(0(4(5(0(2(3(2(0(5(5(1(2(0(5(5(4(x1)))))))))))))))))))) -> 0(2(5(1(2(1(0(4(0(3(0(5(1(5(0(4(2(3(2(0(x1))))))))))))))))))))
   1(0(3(1(0(5(3(3(5(1(2(4(5(4(1(4(4(4(3(5(x1)))))))))))))))))))) -> 5(1(1(4(1(5(5(1(4(1(1(4(3(2(1(4(4(1(3(5(x1))))))))))))))))))))
   1(0(3(3(1(4(0(0(4(3(3(0(4(2(3(5(5(0(3(5(x1)))))))))))))))))))) -> 5(5(2(1(1(0(0(2(5(5(5(1(1(1(0(4(1(3(2(5(x1))))))))))))))))))))
   1(0(3(3(1(4(5(3(2(0(4(4(1(1(4(3(0(4(5(2(x1)))))))))))))))))))) -> 1(0(0(5(0(4(3(0(0(3(4(3(1(2(3(2(5(1(0(3(x1))))))))))))))))))))
   1(0(4(4(1(1(3(2(3(2(4(5(4(5(0(1(5(5(4(1(x1)))))))))))))))))))) -> 1(0(2(0(3(5(0(5(1(5(4(0(0(0(1(0(2(4(2(3(x1))))))))))))))))))))
   1(1(0(4(1(2(0(5(1(3(0(1(4(0(0(0(5(4(3(2(x1)))))))))))))))))))) -> 5(5(1(4(1(0(1(0(1(2(3(1(3(0(0(5(1(3(1(3(x1))))))))))))))))))))
   1(1(2(2(4(4(2(1(3(3(1(1(3(3(1(5(0(5(1(3(x1)))))))))))))))))))) -> 1(1(0(1(4(3(1(3(2(0(1(5(0(5(5(4(4(4(5(0(x1))))))))))))))))))))
   1(1(3(3(5(0(3(2(5(0(4(0(0(1(5(4(3(1(2(2(x1)))))))))))))))))))) -> 5(1(5(4(1(1(0(1(4(2(2(5(1(2(5(5(1(3(5(1(x1))))))))))))))))))))
   1(1(3(5(0(1(1(0(0(1(1(5(4(2(0(1(2(4(5(4(x1)))))))))))))))))))) -> 1(5(0(3(2(1(4(5(1(0(5(3(5(1(2(3(1(3(1(1(x1))))))))))))))))))))
   1(1(4(5(1(1(2(5(1(2(0(1(1(4(2(0(5(4(4(4(x1)))))))))))))))))))) -> 5(5(0(1(4(5(1(1(3(2(5(5(0(3(2(0(1(2(4(0(x1))))))))))))))))))))
   1(1(5(4(4(1(2(2(5(5(0(3(5(2(5(3(0(4(1(5(x1)))))))))))))))))))) -> 4(2(1(0(4(1(1(1(4(0(0(3(0(1(5(0(1(5(1(0(x1))))))))))))))))))))
   1(1(5(5(5(4(2(5(5(0(0(0(5(3(0(4(0(4(2(1(x1)))))))))))))))))))) -> 1(2(4(1(2(0(0(5(5(1(4(3(3(0(1(0(0(4(3(2(x1))))))))))))))))))))
   1(2(0(5(2(3(3(0(2(4(5(1(5(4(2(4(1(4(1(3(x1)))))))))))))))))))) -> 2(3(3(3(1(5(1(3(5(1(1(5(2(3(3(5(0(2(0(1(x1))))))))))))))))))))
   1(4(1(3(4(1(0(3(4(4(3(5(4(5(5(0(1(0(0(1(x1)))))))))))))))))))) -> 5(1(5(0(3(1(2(3(3(1(4(0(1(5(5(0(1(2(4(4(x1))))))))))))))))))))
   1(4(3(1(5(0(2(5(4(3(1(5(0(1(2(2(5(3(5(2(x1)))))))))))))))))))) -> 5(5(2(1(3(1(0(2(3(4(1(5(0(3(2(1(3(3(1(1(x1))))))))))))))))))))
   1(4(3(3(0(5(0(5(4(2(1(2(5(0(3(2(1(0(1(4(x1)))))))))))))))))))) -> 1(1(3(3(5(4(3(2(1(4(1(5(3(1(4(1(1(4(5(1(x1))))))))))))))))))))
   1(4(4(1(0(1(5(5(4(0(0(3(1(4(0(4(5(5(0(1(x1)))))))))))))))))))) -> 1(1(3(1(2(0(0(5(1(0(2(3(0(1(5(1(4(3(1(3(x1))))))))))))))))))))
   1(4(5(3(4(1(3(1(1(3(1(4(3(3(2(0(5(4(4(5(x1)))))))))))))))))))) -> 0(4(4(1(2(1(2(1(3(0(5(5(1(2(3(4(0(1(3(5(x1))))))))))))))))))))
   1(5(1(2(4(5(1(4(3(2(1(5(1(2(1(2(1(4(0(3(x1)))))))))))))))))))) -> 0(5(0(0(5(0(3(2(0(1(4(2(0(5(1(1(5(0(2(4(x1))))))))))))))))))))
   1(5(1(5(1(4(1(0(0(3(3(3(0(2(1(0(0(0(0(3(x1)))))))))))))))))))) -> 1(1(3(2(5(1(0(0(0(1(4(1(5(0(1(5(5(0(0(0(x1))))))))))))))))))))
   1(5(3(0(4(0(2(5(4(5(2(0(3(2(0(5(0(3(4(3(x1)))))))))))))))))))) -> 5(5(0(2(0(1(2(3(0(1(5(3(2(2(5(1(5(3(4(4(x1))))))))))))))))))))
   2(0(5(3(1(2(4(2(3(0(3(5(4(2(5(2(1(3(5(1(x1)))))))))))))))))))) -> 4(3(1(1(4(4(0(4(2(4(2(0(5(4(2(4(5(0(0(3(x1))))))))))))))))))))
   2(1(0(2(5(1(1(0(1(4(3(3(3(1(0(4(3(0(5(2(x1)))))))))))))))))))) -> 1(3(4(5(1(5(1(4(0(5(0(2(0(0(0(3(0(2(1(5(x1))))))))))))))))))))
   2(1(3(5(1(5(1(0(4(2(2(3(3(1(1(3(3(1(5(2(x1)))))))))))))))))))) -> 3(2(1(4(5(0(0(3(1(3(5(1(1(1(0(0(4(5(2(5(x1))))))))))))))))))))
   2(1(4(2(1(4(1(2(2(1(4(1(2(4(3(4(2(3(0(1(x1)))))))))))))))))))) -> 1(2(3(2(3(0(0(4(4(4(0(3(2(3(5(0(1(5(1(3(x1))))))))))))))))))))
   2(3(1(1(1(2(1(3(2(0(1(4(3(5(0(4(3(1(2(2(x1)))))))))))))))))))) -> 1(0(4(2(0(0(5(1(0(5(5(0(3(0(0(1(0(2(5(0(x1))))))))))))))))))))
   2(5(1(1(1(5(2(0(5(5(2(4(0(2(5(0(5(4(3(2(x1)))))))))))))))))))) -> 1(3(3(1(5(3(2(3(2(5(4(0(3(3(3(0(2(5(0(1(x1))))))))))))))))))))
   2(5(1(3(0(5(3(5(1(2(4(4(1(2(0(0(5(2(1(5(x1)))))))))))))))))))) -> 4(2(3(1(4(3(1(5(5(2(1(2(3(3(0(4(4(5(1(5(x1))))))))))))))))))))
   2(5(3(2(4(2(0(2(5(2(1(2(0(5(1(2(1(4(0(0(x1)))))))))))))))))))) -> 1(1(5(4(5(1(2(5(4(5(4(0(5(2(5(2(0(3(1(4(x1))))))))))))))))))))
   2(5(4(0(1(3(2(1(4(5(0(0(0(0(5(4(1(4(4(5(x1)))))))))))))))))))) -> 2(1(2(5(1(1(4(4(3(4(5(1(1(0(1(0(3(5(0(1(x1))))))))))))))))))))
   3(0(0(0(0(3(4(1(2(0(3(2(4(3(4(4(0(4(4(1(x1)))))))))))))))))))) -> 1(1(4(4(0(2(1(4(0(2(0(4(5(1(3(3(0(5(5(4(x1))))))))))))))))))))
   3(0(1(1(1(1(2(3(4(5(2(5(5(3(1(2(1(3(3(3(x1)))))))))))))))))))) -> 3(4(4(0(5(1(1(2(0(4(3(0(1(1(0(0(1(0(4(2(x1))))))))))))))))))))
   3(0(4(3(3(5(3(2(3(3(5(0(4(2(0(0(3(0(0(0(x1)))))))))))))))))))) -> 5(1(2(1(5(4(3(0(3(4(1(0(0(5(1(0(0(4(5(3(x1))))))))))))))))))))
   3(1(3(0(1(4(1(3(4(0(2(1(1(4(5(4(0(0(1(3(x1)))))))))))))))))))) -> 4(5(1(0(4(1(5(1(0(4(5(5(1(3(0(4(5(5(1(0(x1))))))))))))))))))))
   3(1(3(1(1(0(4(2(4(2(2(2(3(0(0(5(2(5(0(5(x1)))))))))))))))))))) -> 4(1(3(3(0(1(5(4(5(2(4(3(3(5(3(1(3(4(0(5(x1))))))))))))))))))))
   3(1(3(1(5(0(2(5(3(1(3(1(3(4(0(0(0(1(5(4(x1)))))))))))))))))))) -> 1(5(1(4(0(0(1(2(0(1(3(2(1(5(1(0(1(5(3(2(x1))))))))))))))))))))
   3(1(4(2(3(2(0(5(0(3(1(0(1(2(3(5(4(0(1(4(x1)))))))))))))))))))) -> 2(4(1(2(1(5(0(0(5(3(2(4(5(0(2(3(0(1(1(1(x1))))))))))))))))))))
   3(2(5(1(4(4(3(1(1(1(5(0(2(3(3(0(4(1(1(3(x1)))))))))))))))))))) -> 1(1(3(3(1(3(5(3(3(0(3(5(0(4(5(0(4(1(5(1(x1))))))))))))))))))))
   3(3(1(3(1(3(0(2(0(2(4(2(1(1(2(4(5(0(3(4(x1)))))))))))))))))))) -> 2(2(0(0(1(5(2(5(0(0(5(1(1(0(1(2(2(5(0(4(x1))))))))))))))))))))
   3(3(3(5(4(4(0(5(4(1(4(3(1(3(3(2(1(5(3(1(x1)))))))))))))))))))) -> 1(3(3(4(0(3(4(1(2(1(1(0(0(2(4(5(4(1(4(0(x1))))))))))))))))))))
   3(3(4(2(2(5(1(4(1(1(1(2(4(1(4(3(0(4(1(5(x1)))))))))))))))))))) -> 3(0(5(1(3(3(1(4(1(3(1(2(3(5(3(3(1(4(4(5(x1))))))))))))))))))))
   3(3(4(5(3(0(5(0(1(3(2(2(5(0(3(3(2(2(0(5(x1)))))))))))))))))))) -> 0(3(1(4(0(1(3(5(3(3(1(1(5(2(1(4(5(0(3(4(x1))))))))))))))))))))
   3(4(2(4(1(1(1(3(0(1(0(3(2(3(2(1(4(3(2(0(x1)))))))))))))))))))) -> 5(3(4(2(1(1(0(2(0(0(1(2(5(2(0(1(3(5(0(4(x1))))))))))))))))))))
   3(4(2(5(5(0(3(0(0(0(3(4(1(1(0(1(1(5(3(1(x1)))))))))))))))))))) -> 3(5(5(2(0(0(0(5(0(0(0(5(5(1(0(5(0(0(0(1(x1))))))))))))))))))))
   3(5(0(1(5(0(3(3(2(3(5(3(2(1(4(1(3(3(1(0(x1)))))))))))))))))))) -> 5(5(0(2(0(5(1(4(5(5(1(1(2(1(3(1(5(4(0(4(x1))))))))))))))))))))
   3(5(4(2(0(1(0(1(0(1(3(1(2(2(1(1(1(4(3(0(x1)))))))))))))))))))) -> 2(5(2(1(1(1(1(1(4(1(1(3(2(1(5(0(5(0(0(2(x1))))))))))))))))))))
   3(5(5(5(3(0(1(4(0(3(3(3(0(5(1(0(1(1(5(4(x1)))))))))))))))))))) -> 4(1(1(2(2(3(1(3(1(1(3(3(5(1(0(1(5(0(2(5(x1))))))))))))))))))))
   4(0(3(4(3(0(5(0(3(0(2(3(3(1(0(3(0(4(0(5(x1)))))))))))))))))))) -> 0(1(4(4(3(1(1(3(4(4(0(1(3(4(5(0(1(1(0(5(x1))))))))))))))))))))
   4(1(2(2(3(0(1(1(2(1(5(4(4(1(4(2(1(2(5(2(x1)))))))))))))))))))) -> 5(5(5(1(1(0(4(1(1(1(2(2(4(5(2(2(0(5(5(0(x1))))))))))))))))))))
   4(2(3(3(1(2(3(2(1(1(1(0(0(4(5(1(2(0(5(0(x1)))))))))))))))))))) -> 5(1(0(0(1(3(0(4(1(1(0(3(1(0(1(4(1(5(0(5(x1))))))))))))))))))))
   4(3(1(4(1(1(1(1(3(3(0(0(5(5(0(2(5(3(1(1(x1)))))))))))))))))))) -> 0(0(1(3(3(3(1(3(4(2(1(5(1(1(4(1(1(0(3(1(x1))))))))))))))))))))
   4(3(4(1(3(1(4(4(1(4(0(1(3(4(5(4(2(2(5(1(x1)))))))))))))))))))) -> 3(4(3(3(5(3(3(2(1(2(0(4(0(3(5(1(1(0(2(0(x1))))))))))))))))))))
   4(4(0(2(2(0(1(2(2(3(2(4(5(1(0(3(0(5(4(0(x1)))))))))))))))))))) -> 1(2(1(5(4(1(0(1(2(0(2(0(4(4(5(4(3(3(4(5(x1))))))))))))))))))))
   4(4(3(2(3(1(2(0(4(2(0(0(3(5(1(0(5(5(3(5(x1)))))))))))))))))))) -> 3(2(1(5(1(3(0(1(1(0(1(5(1(1(4(1(5(5(4(1(x1))))))))))))))))))))
   4(5(1(4(3(1(1(2(0(0(4(2(4(1(1(0(5(4(3(3(x1)))))))))))))))))))) -> 1(3(1(1(4(3(1(2(1(5(2(2(3(3(3(1(1(0(3(4(x1))))))))))))))))))))
   4(5(5(3(3(0(2(4(0(4(3(5(0(4(0(4(0(0(0(4(x1)))))))))))))))))))) -> 3(2(1(4(4(0(2(1(1(0(1(1(5(2(2(5(5(0(0(2(x1))))))))))))))))))))
   5(0(1(3(2(1(1(4(4(3(4(3(1(5(5(1(2(2(4(5(x1)))))))))))))))))))) -> 3(1(1(2(0(1(2(1(0(3(1(1(4(5(3(5(1(1(5(1(x1))))))))))))))))))))
   5(0(3(2(5(1(0(4(3(3(0(1(3(2(5(0(1(5(2(5(x1)))))))))))))))))))) -> 1(4(4(1(1(0(3(3(3(1(3(1(1(5(0(3(5(5(1(1(x1))))))))))))))))))))
   5(0(3(3(1(0(3(1(5(3(3(2(5(0(0(3(3(4(3(5(x1)))))))))))))))))))) -> 0(1(0(2(3(2(0(5(1(1(2(0(1(3(4(1(4(5(4(5(x1))))))))))))))))))))
   5(0(3(3(2(0(1(0(5(1(1(0(0(1(2(4(2(4(1(3(x1)))))))))))))))))))) -> 5(5(3(1(3(5(1(5(0(1(0(1(0(0(0(5(5(5(1(2(x1))))))))))))))))))))
   5(0(3(4(3(1(5(5(1(3(4(0(5(3(1(2(5(3(5(0(x1)))))))))))))))))))) -> 4(1(0(0(1(5(1(5(1(2(0(1(5(3(4(4(5(5(1(4(x1))))))))))))))))))))
   5(0(4(2(1(3(5(5(0(3(5(2(0(2(2(5(3(0(0(5(x1)))))))))))))))))))) -> 3(5(5(0(3(1(5(1(0(1(3(2(0(4(3(4(5(1(4(1(x1))))))))))))))))))))
   5(0(5(0(2(0(4(3(4(2(3(4(2(1(5(4(0(1(3(5(x1)))))))))))))))))))) -> 5(0(3(0(5(4(2(0(3(5(1(5(4(3(0(0(0(1(5(5(x1))))))))))))))))))))
   5(1(2(1(3(0(3(5(5(2(2(3(3(1(5(2(0(0(5(3(x1)))))))))))))))))))) -> 2(0(0(1(2(4(1(3(0(0(1(5(3(4(2(4(1(2(5(0(x1))))))))))))))))))))
   5(1(3(4(2(1(5(1(1(4(5(0(2(1(0(3(2(1(0(0(x1)))))))))))))))))))) -> 0(1(5(1(4(1(5(2(0(5(5(5(1(5(1(0(0(2(0(3(x1))))))))))))))))))))
   5(1(3(5(2(5(4(4(5(1(5(5(1(0(0(1(4(3(1(2(x1)))))))))))))))))))) -> 5(0(5(5(1(5(0(3(2(3(4(5(2(1(0(0(0(1(3(5(x1))))))))))))))))))))
   5(2(0(3(4(2(0(0(1(0(1(2(2(3(1(1(2(4(5(0(x1)))))))))))))))))))) -> 1(3(2(1(5(4(1(3(3(0(3(4(1(4(5(0(1(5(0(5(x1))))))))))))))))))))
   5(2(0(5(0(5(5(5(5(2(2(2(5(1(2(0(5(5(4(5(x1)))))))))))))))))))) -> 5(1(2(3(0(1(0(4(2(1(5(0(1(0(1(5(5(5(2(3(x1))))))))))))))))))))
   5(2(3(4(3(2(0(1(1(2(3(1(5(1(1(4(1(4(4(3(x1)))))))))))))))))))) -> 5(1(0(4(3(0(1(0(1(0(2(3(4(2(2(5(5(1(0(4(x1))))))))))))))))))))
   5(3(3(2(0(3(4(3(2(5(0(2(5(0(3(0(5(1(5(5(x1)))))))))))))))))))) -> 3(1(2(3(0(1(5(1(1(5(5(1(0(0(3(5(2(1(2(1(x1))))))))))))))))))))
   5(3(4(3(2(0(1(5(1(1(1(4(3(5(5(4(5(5(2(3(x1)))))))))))))))))))) -> 5(1(4(4(3(2(5(5(2(5(1(4(1(1(3(3(0(5(3(1(x1))))))))))))))))))))
   5(4(4(3(0(5(1(3(1(0(1(1(3(0(3(5(2(0(4(2(x1)))))))))))))))))))) -> 4(0(5(0(3(4(3(1(1(2(2(0(2(0(2(1(1(4(0(5(x1))))))))))))))))))))
   5(5(0(2(0(5(3(1(2(3(2(2(2(0(4(5(4(0(3(5(x1)))))))))))))))))))) -> 1(0(4(0(2(4(3(5(5(3(1(0(2(0(3(1(2(4(5(5(x1))))))))))))))))))))
   5(5(1(1(1(3(3(5(2(4(1(1(1(1(3(3(0(5(4(4(x1)))))))))))))))))))) -> 0(5(2(1(1(1(1(4(0(5(4(3(3(5(0(4(2(1(3(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_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(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: INNERMOST
----------------------------------------

(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 (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   0(0(0(0(1(2(3(2(4(2(0(4(3(2(2(3(1(0(5(0(x1)))))))))))))))))))) -> 3(5(5(4(2(0(1(0(0(0(4(0(3(2(2(5(1(2(1(1(x1))))))))))))))))))))
   0(0(1(0(4(5(0(0(3(4(1(5(0(2(3(2(4(0(0(1(x1)))))))))))))))))))) -> 1(5(0(1(1(0(3(5(1(4(5(5(0(2(1(5(2(3(3(0(x1))))))))))))))))))))
   0(0(2(0(1(2(2(0(4(0(0(5(5(1(0(0(1(3(4(3(x1)))))))))))))))))))) -> 0(1(1(0(1(4(4(5(3(1(5(1(5(5(0(5(1(3(2(1(x1))))))))))))))))))))
   0(0(3(4(4(4(2(4(5(1(3(3(1(2(2(1(1(2(2(0(x1)))))))))))))))))))) -> 0(5(3(1(4(4(5(2(4(3(5(1(1(0(0(4(4(1(1(4(x1))))))))))))))))))))
   0(0(4(3(1(0(3(3(2(1(4(2(4(3(1(2(1(3(5(1(x1)))))))))))))))))))) -> 1(3(4(5(0(1(1(3(5(3(4(2(1(2(0(2(5(0(4(1(x1))))))))))))))))))))
   0(1(0(3(2(2(2(4(2(5(0(4(4(4(1(3(0(3(3(5(x1)))))))))))))))))))) -> 5(0(4(5(3(2(5(0(5(5(0(0(3(0(5(1(2(3(5(1(x1))))))))))))))))))))
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   5(0(3(4(3(1(5(5(1(3(4(0(5(3(1(2(5(3(5(0(x1)))))))))))))))))))) -> 4(1(0(0(1(5(1(5(1(2(0(1(5(3(4(4(5(5(1(4(x1))))))))))))))))))))
   5(0(4(2(1(3(5(5(0(3(5(2(0(2(2(5(3(0(0(5(x1)))))))))))))))))))) -> 3(5(5(0(3(1(5(1(0(1(3(2(0(4(3(4(5(1(4(1(x1))))))))))))))))))))
   5(0(5(0(2(0(4(3(4(2(3(4(2(1(5(4(0(1(3(5(x1)))))))))))))))))))) -> 5(0(3(0(5(4(2(0(3(5(1(5(4(3(0(0(0(1(5(5(x1))))))))))))))))))))
   5(1(2(1(3(0(3(5(5(2(2(3(3(1(5(2(0(0(5(3(x1)))))))))))))))))))) -> 2(0(0(1(2(4(1(3(0(0(1(5(3(4(2(4(1(2(5(0(x1))))))))))))))))))))
   5(1(3(4(2(1(5(1(1(4(5(0(2(1(0(3(2(1(0(0(x1)))))))))))))))))))) -> 0(1(5(1(4(1(5(2(0(5(5(5(1(5(1(0(0(2(0(3(x1))))))))))))))))))))
   5(1(3(5(2(5(4(4(5(1(5(5(1(0(0(1(4(3(1(2(x1)))))))))))))))))))) -> 5(0(5(5(1(5(0(3(2(3(4(5(2(1(0(0(0(1(3(5(x1))))))))))))))))))))
   5(2(0(3(4(2(0(0(1(0(1(2(2(3(1(1(2(4(5(0(x1)))))))))))))))))))) -> 1(3(2(1(5(4(1(3(3(0(3(4(1(4(5(0(1(5(0(5(x1))))))))))))))))))))
   5(2(0(5(0(5(5(5(5(2(2(2(5(1(2(0(5(5(4(5(x1)))))))))))))))))))) -> 5(1(2(3(0(1(0(4(2(1(5(0(1(0(1(5(5(5(2(3(x1))))))))))))))))))))
   5(2(3(4(3(2(0(1(1(2(3(1(5(1(1(4(1(4(4(3(x1)))))))))))))))))))) -> 5(1(0(4(3(0(1(0(1(0(2(3(4(2(2(5(5(1(0(4(x1))))))))))))))))))))
   5(3(3(2(0(3(4(3(2(5(0(2(5(0(3(0(5(1(5(5(x1)))))))))))))))))))) -> 3(1(2(3(0(1(5(1(1(5(5(1(0(0(3(5(2(1(2(1(x1))))))))))))))))))))
   5(3(4(3(2(0(1(5(1(1(1(4(3(5(5(4(5(5(2(3(x1)))))))))))))))))))) -> 5(1(4(4(3(2(5(5(2(5(1(4(1(1(3(3(0(5(3(1(x1))))))))))))))))))))
   5(4(4(3(0(5(1(3(1(0(1(1(3(0(3(5(2(0(4(2(x1)))))))))))))))))))) -> 4(0(5(0(3(4(3(1(1(2(2(0(2(0(2(1(1(4(0(5(x1))))))))))))))))))))
   5(5(0(2(0(5(3(1(2(3(2(2(2(0(4(5(4(0(3(5(x1)))))))))))))))))))) -> 1(0(4(0(2(4(3(5(5(3(1(0(2(0(3(1(2(4(5(5(x1))))))))))))))))))))
   5(5(1(1(1(3(3(5(2(4(1(1(1(1(3(3(0(5(4(4(x1)))))))))))))))))))) -> 0(5(2(1(1(1(1(4(0(5(4(3(3(5(0(4(2(1(3(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_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(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: INNERMOST
----------------------------------------

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

(8)
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:

   0(0(0(0(1(2(3(2(4(2(0(4(3(2(2(3(1(0(5(0(x1)))))))))))))))))))) -> 3(5(5(4(2(0(1(0(0(0(4(0(3(2(2(5(1(2(1(1(x1))))))))))))))))))))
   0(0(1(0(4(5(0(0(3(4(1(5(0(2(3(2(4(0(0(1(x1)))))))))))))))))))) -> 1(5(0(1(1(0(3(5(1(4(5(5(0(2(1(5(2(3(3(0(x1))))))))))))))))))))
   0(0(2(0(1(2(2(0(4(0(0(5(5(1(0(0(1(3(4(3(x1)))))))))))))))))))) -> 0(1(1(0(1(4(4(5(3(1(5(1(5(5(0(5(1(3(2(1(x1))))))))))))))))))))
   0(0(3(4(4(4(2(4(5(1(3(3(1(2(2(1(1(2(2(0(x1)))))))))))))))))))) -> 0(5(3(1(4(4(5(2(4(3(5(1(1(0(0(4(4(1(1(4(x1))))))))))))))))))))
   0(0(4(3(1(0(3(3(2(1(4(2(4(3(1(2(1(3(5(1(x1)))))))))))))))))))) -> 1(3(4(5(0(1(1(3(5(3(4(2(1(2(0(2(5(0(4(1(x1))))))))))))))))))))
   0(1(0(3(2(2(2(4(2(5(0(4(4(4(1(3(0(3(3(5(x1)))))))))))))))))))) -> 5(0(4(5(3(2(5(0(5(5(0(0(3(0(5(1(2(3(5(1(x1))))))))))))))))))))
   0(1(0(4(1(1(4(0(0(1(2(1(1(3(3(2(5(3(4(4(x1)))))))))))))))))))) -> 5(0(0(3(5(0(2(0(1(5(0(4(1(3(1(5(1(3(5(3(x1))))))))))))))))))))
   0(1(1(3(4(5(5(2(0(5(3(3(3(0(2(0(5(0(4(0(x1)))))))))))))))))))) -> 1(1(0(5(1(1(5(3(2(5(3(4(4(1(1(3(4(2(1(5(x1))))))))))))))))))))
   0(1(1(5(4(4(2(1(1(2(2(3(4(4(0(5(0(4(2(2(x1)))))))))))))))))))) -> 2(4(2(4(5(2(1(0(1(4(4(5(0(2(1(5(5(1(1(3(x1))))))))))))))))))))
   0(1(2(2(3(2(1(5(0(3(1(1(4(1(3(5(1(4(5(4(x1)))))))))))))))))))) -> 1(1(1(4(3(1(2(5(1(2(1(2(0(0(3(3(0(2(0(3(x1))))))))))))))))))))
   0(1(5(2(5(4(4(0(3(4(0(0(3(5(0(1(3(3(4(2(x1)))))))))))))))))))) -> 1(3(3(2(4(1(2(5(1(4(1(5(4(3(2(5(1(0(2(0(x1))))))))))))))))))))
   0(2(1(1(1(5(5(4(2(5(2(1(1(0(1(5(5(0(2(5(x1)))))))))))))))))))) -> 5(5(1(3(1(1(2(0(3(5(1(5(1(3(3(0(3(5(5(5(x1))))))))))))))))))))
   0(2(3(4(0(0(1(1(5(3(0(4(5(0(0(0(1(5(2(1(x1)))))))))))))))))))) -> 0(0(4(5(5(1(3(5(5(1(1(1(2(5(4(1(1(0(5(4(x1))))))))))))))))))))
   0(2(4(5(0(4(0(1(2(5(0(2(4(3(3(5(1(3(3(2(x1)))))))))))))))))))) -> 0(5(1(1(4(1(3(0(4(5(2(4(3(4(3(1(4(5(0(5(x1))))))))))))))))))))
   0(3(0(3(5(1(1(1(1(5(5(3(5(5(5(0(3(4(4(0(x1)))))))))))))))))))) -> 1(5(1(5(5(0(4(1(3(1(1(2(1(1(5(1(5(2(1(2(x1))))))))))))))))))))
   0(3(3(1(4(2(5(3(2(2(1(0(1(3(1(2(2(0(5(3(x1)))))))))))))))))))) -> 3(4(1(0(4(5(1(4(0(4(1(2(2(0(3(1(1(0(5(3(x1))))))))))))))))))))
   0(3(5(2(2(0(4(2(2(1(5(0(5(2(0(4(4(4(0(4(x1)))))))))))))))))))) -> 1(2(3(4(1(1(4(5(5(5(5(1(5(1(3(5(2(2(4(5(x1))))))))))))))))))))
   0(4(0(3(1(3(5(5(0(0(5(0(0(3(0(4(0(0(5(4(x1)))))))))))))))))))) -> 5(5(1(2(5(1(1(0(0(2(4(0(2(0(5(0(5(0(2(0(x1))))))))))))))))))))
   0(4(5(0(2(4(0(3(2(5(0(3(1(3(1(1(1(3(4(2(x1)))))))))))))))))))) -> 0(4(3(3(5(1(1(1(0(1(1(5(1(3(4(2(0(5(1(3(x1))))))))))))))))))))
   0(4(5(5(5(3(3(1(0(4(3(4(5(0(2(4(5(3(0(5(x1)))))))))))))))))))) -> 3(3(2(5(5(0(3(1(3(3(4(5(1(0(1(3(3(1(2(1(x1))))))))))))))))))))
   0(5(1(2(3(3(2(4(1(2(1(0(0(4(3(5(0(1(2(2(x1)))))))))))))))))))) -> 3(2(2(1(5(3(5(0(3(5(1(5(0(0(4(1(4(3(5(0(x1))))))))))))))))))))
   0(5(3(5(0(0(2(0(3(3(0(4(4(1(4(0(5(0(5(0(x1)))))))))))))))))))) -> 4(3(3(4(0(5(3(2(0(3(1(1(5(1(1(3(1(0(1(1(x1))))))))))))))))))))
   0(5(4(3(5(3(3(5(5(5(1(0(4(4(3(1(2(5(0(3(x1)))))))))))))))))))) -> 5(0(3(4(2(4(3(2(5(1(1(4(1(1(2(3(5(1(3(0(x1))))))))))))))))))))
   1(0(0(5(2(3(1(0(1(4(3(0(1(2(0(2(1(4(4(2(x1)))))))))))))))))))) -> 1(3(0(5(2(2(5(3(2(1(4(0(5(1(3(3(5(0(5(1(x1))))))))))))))))))))
   1(0(1(0(4(2(2(3(0(1(1(5(5(1(2(1(3(5(1(2(x1)))))))))))))))))))) -> 4(5(0(1(3(4(3(1(3(0(4(0(0(5(0(0(3(1(1(5(x1))))))))))))))))))))
   1(0(3(0(0(4(5(0(2(3(2(0(5(5(1(2(0(5(5(4(x1)))))))))))))))))))) -> 0(2(5(1(2(1(0(4(0(3(0(5(1(5(0(4(2(3(2(0(x1))))))))))))))))))))
   1(0(3(1(0(5(3(3(5(1(2(4(5(4(1(4(4(4(3(5(x1)))))))))))))))))))) -> 5(1(1(4(1(5(5(1(4(1(1(4(3(2(1(4(4(1(3(5(x1))))))))))))))))))))
   1(0(3(3(1(4(0(0(4(3(3(0(4(2(3(5(5(0(3(5(x1)))))))))))))))))))) -> 5(5(2(1(1(0(0(2(5(5(5(1(1(1(0(4(1(3(2(5(x1))))))))))))))))))))
   1(0(3(3(1(4(5(3(2(0(4(4(1(1(4(3(0(4(5(2(x1)))))))))))))))))))) -> 1(0(0(5(0(4(3(0(0(3(4(3(1(2(3(2(5(1(0(3(x1))))))))))))))))))))
   1(0(4(4(1(1(3(2(3(2(4(5(4(5(0(1(5(5(4(1(x1)))))))))))))))))))) -> 1(0(2(0(3(5(0(5(1(5(4(0(0(0(1(0(2(4(2(3(x1))))))))))))))))))))
   1(1(0(4(1(2(0(5(1(3(0(1(4(0(0(0(5(4(3(2(x1)))))))))))))))))))) -> 5(5(1(4(1(0(1(0(1(2(3(1(3(0(0(5(1(3(1(3(x1))))))))))))))))))))
   1(1(2(2(4(4(2(1(3(3(1(1(3(3(1(5(0(5(1(3(x1)))))))))))))))))))) -> 1(1(0(1(4(3(1(3(2(0(1(5(0(5(5(4(4(4(5(0(x1))))))))))))))))))))
   1(1(3(3(5(0(3(2(5(0(4(0(0(1(5(4(3(1(2(2(x1)))))))))))))))))))) -> 5(1(5(4(1(1(0(1(4(2(2(5(1(2(5(5(1(3(5(1(x1))))))))))))))))))))
   1(1(3(5(0(1(1(0(0(1(1(5(4(2(0(1(2(4(5(4(x1)))))))))))))))))))) -> 1(5(0(3(2(1(4(5(1(0(5(3(5(1(2(3(1(3(1(1(x1))))))))))))))))))))
   1(1(4(5(1(1(2(5(1(2(0(1(1(4(2(0(5(4(4(4(x1)))))))))))))))))))) -> 5(5(0(1(4(5(1(1(3(2(5(5(0(3(2(0(1(2(4(0(x1))))))))))))))))))))
   1(1(5(4(4(1(2(2(5(5(0(3(5(2(5(3(0(4(1(5(x1)))))))))))))))))))) -> 4(2(1(0(4(1(1(1(4(0(0(3(0(1(5(0(1(5(1(0(x1))))))))))))))))))))
   1(1(5(5(5(4(2(5(5(0(0(0(5(3(0(4(0(4(2(1(x1)))))))))))))))))))) -> 1(2(4(1(2(0(0(5(5(1(4(3(3(0(1(0(0(4(3(2(x1))))))))))))))))))))
   1(2(0(5(2(3(3(0(2(4(5(1(5(4(2(4(1(4(1(3(x1)))))))))))))))))))) -> 2(3(3(3(1(5(1(3(5(1(1(5(2(3(3(5(0(2(0(1(x1))))))))))))))))))))
   1(4(1(3(4(1(0(3(4(4(3(5(4(5(5(0(1(0(0(1(x1)))))))))))))))))))) -> 5(1(5(0(3(1(2(3(3(1(4(0(1(5(5(0(1(2(4(4(x1))))))))))))))))))))
   1(4(3(1(5(0(2(5(4(3(1(5(0(1(2(2(5(3(5(2(x1)))))))))))))))))))) -> 5(5(2(1(3(1(0(2(3(4(1(5(0(3(2(1(3(3(1(1(x1))))))))))))))))))))
   1(4(3(3(0(5(0(5(4(2(1(2(5(0(3(2(1(0(1(4(x1)))))))))))))))))))) -> 1(1(3(3(5(4(3(2(1(4(1(5(3(1(4(1(1(4(5(1(x1))))))))))))))))))))
   1(4(4(1(0(1(5(5(4(0(0(3(1(4(0(4(5(5(0(1(x1)))))))))))))))))))) -> 1(1(3(1(2(0(0(5(1(0(2(3(0(1(5(1(4(3(1(3(x1))))))))))))))))))))
   1(4(5(3(4(1(3(1(1(3(1(4(3(3(2(0(5(4(4(5(x1)))))))))))))))))))) -> 0(4(4(1(2(1(2(1(3(0(5(5(1(2(3(4(0(1(3(5(x1))))))))))))))))))))
   1(5(1(2(4(5(1(4(3(2(1(5(1(2(1(2(1(4(0(3(x1)))))))))))))))))))) -> 0(5(0(0(5(0(3(2(0(1(4(2(0(5(1(1(5(0(2(4(x1))))))))))))))))))))
   1(5(1(5(1(4(1(0(0(3(3(3(0(2(1(0(0(0(0(3(x1)))))))))))))))))))) -> 1(1(3(2(5(1(0(0(0(1(4(1(5(0(1(5(5(0(0(0(x1))))))))))))))))))))
   1(5(3(0(4(0(2(5(4(5(2(0(3(2(0(5(0(3(4(3(x1)))))))))))))))))))) -> 5(5(0(2(0(1(2(3(0(1(5(3(2(2(5(1(5(3(4(4(x1))))))))))))))))))))
   2(0(5(3(1(2(4(2(3(0(3(5(4(2(5(2(1(3(5(1(x1)))))))))))))))))))) -> 4(3(1(1(4(4(0(4(2(4(2(0(5(4(2(4(5(0(0(3(x1))))))))))))))))))))
   2(1(0(2(5(1(1(0(1(4(3(3(3(1(0(4(3(0(5(2(x1)))))))))))))))))))) -> 1(3(4(5(1(5(1(4(0(5(0(2(0(0(0(3(0(2(1(5(x1))))))))))))))))))))
   2(1(3(5(1(5(1(0(4(2(2(3(3(1(1(3(3(1(5(2(x1)))))))))))))))))))) -> 3(2(1(4(5(0(0(3(1(3(5(1(1(1(0(0(4(5(2(5(x1))))))))))))))))))))
   2(1(4(2(1(4(1(2(2(1(4(1(2(4(3(4(2(3(0(1(x1)))))))))))))))))))) -> 1(2(3(2(3(0(0(4(4(4(0(3(2(3(5(0(1(5(1(3(x1))))))))))))))))))))
   2(3(1(1(1(2(1(3(2(0(1(4(3(5(0(4(3(1(2(2(x1)))))))))))))))))))) -> 1(0(4(2(0(0(5(1(0(5(5(0(3(0(0(1(0(2(5(0(x1))))))))))))))))))))
   2(5(1(1(1(5(2(0(5(5(2(4(0(2(5(0(5(4(3(2(x1)))))))))))))))))))) -> 1(3(3(1(5(3(2(3(2(5(4(0(3(3(3(0(2(5(0(1(x1))))))))))))))))))))
   2(5(1(3(0(5(3(5(1(2(4(4(1(2(0(0(5(2(1(5(x1)))))))))))))))))))) -> 4(2(3(1(4(3(1(5(5(2(1(2(3(3(0(4(4(5(1(5(x1))))))))))))))))))))
   2(5(3(2(4(2(0(2(5(2(1(2(0(5(1(2(1(4(0(0(x1)))))))))))))))))))) -> 1(1(5(4(5(1(2(5(4(5(4(0(5(2(5(2(0(3(1(4(x1))))))))))))))))))))
   2(5(4(0(1(3(2(1(4(5(0(0(0(0(5(4(1(4(4(5(x1)))))))))))))))))))) -> 2(1(2(5(1(1(4(4(3(4(5(1(1(0(1(0(3(5(0(1(x1))))))))))))))))))))
   3(0(0(0(0(3(4(1(2(0(3(2(4(3(4(4(0(4(4(1(x1)))))))))))))))))))) -> 1(1(4(4(0(2(1(4(0(2(0(4(5(1(3(3(0(5(5(4(x1))))))))))))))))))))
   3(0(1(1(1(1(2(3(4(5(2(5(5(3(1(2(1(3(3(3(x1)))))))))))))))))))) -> 3(4(4(0(5(1(1(2(0(4(3(0(1(1(0(0(1(0(4(2(x1))))))))))))))))))))
   3(0(4(3(3(5(3(2(3(3(5(0(4(2(0(0(3(0(0(0(x1)))))))))))))))))))) -> 5(1(2(1(5(4(3(0(3(4(1(0(0(5(1(0(0(4(5(3(x1))))))))))))))))))))
   3(1(3(0(1(4(1(3(4(0(2(1(1(4(5(4(0(0(1(3(x1)))))))))))))))))))) -> 4(5(1(0(4(1(5(1(0(4(5(5(1(3(0(4(5(5(1(0(x1))))))))))))))))))))
   3(1(3(1(1(0(4(2(4(2(2(2(3(0(0(5(2(5(0(5(x1)))))))))))))))))))) -> 4(1(3(3(0(1(5(4(5(2(4(3(3(5(3(1(3(4(0(5(x1))))))))))))))))))))
   3(1(3(1(5(0(2(5(3(1(3(1(3(4(0(0(0(1(5(4(x1)))))))))))))))))))) -> 1(5(1(4(0(0(1(2(0(1(3(2(1(5(1(0(1(5(3(2(x1))))))))))))))))))))
   3(1(4(2(3(2(0(5(0(3(1(0(1(2(3(5(4(0(1(4(x1)))))))))))))))))))) -> 2(4(1(2(1(5(0(0(5(3(2(4(5(0(2(3(0(1(1(1(x1))))))))))))))))))))
   3(2(5(1(4(4(3(1(1(1(5(0(2(3(3(0(4(1(1(3(x1)))))))))))))))))))) -> 1(1(3(3(1(3(5(3(3(0(3(5(0(4(5(0(4(1(5(1(x1))))))))))))))))))))
   3(3(1(3(1(3(0(2(0(2(4(2(1(1(2(4(5(0(3(4(x1)))))))))))))))))))) -> 2(2(0(0(1(5(2(5(0(0(5(1(1(0(1(2(2(5(0(4(x1))))))))))))))))))))
   3(3(3(5(4(4(0(5(4(1(4(3(1(3(3(2(1(5(3(1(x1)))))))))))))))))))) -> 1(3(3(4(0(3(4(1(2(1(1(0(0(2(4(5(4(1(4(0(x1))))))))))))))))))))
   3(3(4(2(2(5(1(4(1(1(1(2(4(1(4(3(0(4(1(5(x1)))))))))))))))))))) -> 3(0(5(1(3(3(1(4(1(3(1(2(3(5(3(3(1(4(4(5(x1))))))))))))))))))))
   3(3(4(5(3(0(5(0(1(3(2(2(5(0(3(3(2(2(0(5(x1)))))))))))))))))))) -> 0(3(1(4(0(1(3(5(3(3(1(1(5(2(1(4(5(0(3(4(x1))))))))))))))))))))
   3(4(2(4(1(1(1(3(0(1(0(3(2(3(2(1(4(3(2(0(x1)))))))))))))))))))) -> 5(3(4(2(1(1(0(2(0(0(1(2(5(2(0(1(3(5(0(4(x1))))))))))))))))))))
   3(4(2(5(5(0(3(0(0(0(3(4(1(1(0(1(1(5(3(1(x1)))))))))))))))))))) -> 3(5(5(2(0(0(0(5(0(0(0(5(5(1(0(5(0(0(0(1(x1))))))))))))))))))))
   3(5(0(1(5(0(3(3(2(3(5(3(2(1(4(1(3(3(1(0(x1)))))))))))))))))))) -> 5(5(0(2(0(5(1(4(5(5(1(1(2(1(3(1(5(4(0(4(x1))))))))))))))))))))
   3(5(4(2(0(1(0(1(0(1(3(1(2(2(1(1(1(4(3(0(x1)))))))))))))))))))) -> 2(5(2(1(1(1(1(1(4(1(1(3(2(1(5(0(5(0(0(2(x1))))))))))))))))))))
   3(5(5(5(3(0(1(4(0(3(3(3(0(5(1(0(1(1(5(4(x1)))))))))))))))))))) -> 4(1(1(2(2(3(1(3(1(1(3(3(5(1(0(1(5(0(2(5(x1))))))))))))))))))))
   4(0(3(4(3(0(5(0(3(0(2(3(3(1(0(3(0(4(0(5(x1)))))))))))))))))))) -> 0(1(4(4(3(1(1(3(4(4(0(1(3(4(5(0(1(1(0(5(x1))))))))))))))))))))
   4(1(2(2(3(0(1(1(2(1(5(4(4(1(4(2(1(2(5(2(x1)))))))))))))))))))) -> 5(5(5(1(1(0(4(1(1(1(2(2(4(5(2(2(0(5(5(0(x1))))))))))))))))))))
   4(2(3(3(1(2(3(2(1(1(1(0(0(4(5(1(2(0(5(0(x1)))))))))))))))))))) -> 5(1(0(0(1(3(0(4(1(1(0(3(1(0(1(4(1(5(0(5(x1))))))))))))))))))))
   4(3(1(4(1(1(1(1(3(3(0(0(5(5(0(2(5(3(1(1(x1)))))))))))))))))))) -> 0(0(1(3(3(3(1(3(4(2(1(5(1(1(4(1(1(0(3(1(x1))))))))))))))))))))
   4(3(4(1(3(1(4(4(1(4(0(1(3(4(5(4(2(2(5(1(x1)))))))))))))))))))) -> 3(4(3(3(5(3(3(2(1(2(0(4(0(3(5(1(1(0(2(0(x1))))))))))))))))))))
   4(4(0(2(2(0(1(2(2(3(2(4(5(1(0(3(0(5(4(0(x1)))))))))))))))))))) -> 1(2(1(5(4(1(0(1(2(0(2(0(4(4(5(4(3(3(4(5(x1))))))))))))))))))))
   4(4(3(2(3(1(2(0(4(2(0(0(3(5(1(0(5(5(3(5(x1)))))))))))))))))))) -> 3(2(1(5(1(3(0(1(1(0(1(5(1(1(4(1(5(5(4(1(x1))))))))))))))))))))
   4(5(1(4(3(1(1(2(0(0(4(2(4(1(1(0(5(4(3(3(x1)))))))))))))))))))) -> 1(3(1(1(4(3(1(2(1(5(2(2(3(3(3(1(1(0(3(4(x1))))))))))))))))))))
   4(5(5(3(3(0(2(4(0(4(3(5(0(4(0(4(0(0(0(4(x1)))))))))))))))))))) -> 3(2(1(4(4(0(2(1(1(0(1(1(5(2(2(5(5(0(0(2(x1))))))))))))))))))))
   5(0(1(3(2(1(1(4(4(3(4(3(1(5(5(1(2(2(4(5(x1)))))))))))))))))))) -> 3(1(1(2(0(1(2(1(0(3(1(1(4(5(3(5(1(1(5(1(x1))))))))))))))))))))
   5(0(3(2(5(1(0(4(3(3(0(1(3(2(5(0(1(5(2(5(x1)))))))))))))))))))) -> 1(4(4(1(1(0(3(3(3(1(3(1(1(5(0(3(5(5(1(1(x1))))))))))))))))))))
   5(0(3(3(1(0(3(1(5(3(3(2(5(0(0(3(3(4(3(5(x1)))))))))))))))))))) -> 0(1(0(2(3(2(0(5(1(1(2(0(1(3(4(1(4(5(4(5(x1))))))))))))))))))))
   5(0(3(3(2(0(1(0(5(1(1(0(0(1(2(4(2(4(1(3(x1)))))))))))))))))))) -> 5(5(3(1(3(5(1(5(0(1(0(1(0(0(0(5(5(5(1(2(x1))))))))))))))))))))
   5(0(3(4(3(1(5(5(1(3(4(0(5(3(1(2(5(3(5(0(x1)))))))))))))))))))) -> 4(1(0(0(1(5(1(5(1(2(0(1(5(3(4(4(5(5(1(4(x1))))))))))))))))))))
   5(0(4(2(1(3(5(5(0(3(5(2(0(2(2(5(3(0(0(5(x1)))))))))))))))))))) -> 3(5(5(0(3(1(5(1(0(1(3(2(0(4(3(4(5(1(4(1(x1))))))))))))))))))))
   5(0(5(0(2(0(4(3(4(2(3(4(2(1(5(4(0(1(3(5(x1)))))))))))))))))))) -> 5(0(3(0(5(4(2(0(3(5(1(5(4(3(0(0(0(1(5(5(x1))))))))))))))))))))
   5(1(2(1(3(0(3(5(5(2(2(3(3(1(5(2(0(0(5(3(x1)))))))))))))))))))) -> 2(0(0(1(2(4(1(3(0(0(1(5(3(4(2(4(1(2(5(0(x1))))))))))))))))))))
   5(1(3(4(2(1(5(1(1(4(5(0(2(1(0(3(2(1(0(0(x1)))))))))))))))))))) -> 0(1(5(1(4(1(5(2(0(5(5(5(1(5(1(0(0(2(0(3(x1))))))))))))))))))))
   5(1(3(5(2(5(4(4(5(1(5(5(1(0(0(1(4(3(1(2(x1)))))))))))))))))))) -> 5(0(5(5(1(5(0(3(2(3(4(5(2(1(0(0(0(1(3(5(x1))))))))))))))))))))
   5(2(0(3(4(2(0(0(1(0(1(2(2(3(1(1(2(4(5(0(x1)))))))))))))))))))) -> 1(3(2(1(5(4(1(3(3(0(3(4(1(4(5(0(1(5(0(5(x1))))))))))))))))))))
   5(2(0(5(0(5(5(5(5(2(2(2(5(1(2(0(5(5(4(5(x1)))))))))))))))))))) -> 5(1(2(3(0(1(0(4(2(1(5(0(1(0(1(5(5(5(2(3(x1))))))))))))))))))))
   5(2(3(4(3(2(0(1(1(2(3(1(5(1(1(4(1(4(4(3(x1)))))))))))))))))))) -> 5(1(0(4(3(0(1(0(1(0(2(3(4(2(2(5(5(1(0(4(x1))))))))))))))))))))
   5(3(3(2(0(3(4(3(2(5(0(2(5(0(3(0(5(1(5(5(x1)))))))))))))))))))) -> 3(1(2(3(0(1(5(1(1(5(5(1(0(0(3(5(2(1(2(1(x1))))))))))))))))))))
   5(3(4(3(2(0(1(5(1(1(1(4(3(5(5(4(5(5(2(3(x1)))))))))))))))))))) -> 5(1(4(4(3(2(5(5(2(5(1(4(1(1(3(3(0(5(3(1(x1))))))))))))))))))))
   5(4(4(3(0(5(1(3(1(0(1(1(3(0(3(5(2(0(4(2(x1)))))))))))))))))))) -> 4(0(5(0(3(4(3(1(1(2(2(0(2(0(2(1(1(4(0(5(x1))))))))))))))))))))
   5(5(0(2(0(5(3(1(2(3(2(2(2(0(4(5(4(0(3(5(x1)))))))))))))))))))) -> 1(0(4(0(2(4(3(5(5(3(1(0(2(0(3(1(2(4(5(5(x1))))))))))))))))))))
   5(5(1(1(1(3(3(5(2(4(1(1(1(1(3(3(0(5(4(4(x1)))))))))))))))))))) -> 0(5(2(1(1(1(1(4(0(5(4(3(3(5(0(4(2(1(3(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_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(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: INNERMOST
----------------------------------------

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

(10)
Obligation:
Innermost TRS:
Rules:
0(0(0(0(1(2(3(2(4(2(0(4(3(2(2(3(1(0(5(0(x1)))))))))))))))))))) -> 3(5(5(4(2(0(1(0(0(0(4(0(3(2(2(5(1(2(1(1(x1))))))))))))))))))))
0(0(1(0(4(5(0(0(3(4(1(5(0(2(3(2(4(0(0(1(x1)))))))))))))))))))) -> 1(5(0(1(1(0(3(5(1(4(5(5(0(2(1(5(2(3(3(0(x1))))))))))))))))))))
0(0(2(0(1(2(2(0(4(0(0(5(5(1(0(0(1(3(4(3(x1)))))))))))))))))))) -> 0(1(1(0(1(4(4(5(3(1(5(1(5(5(0(5(1(3(2(1(x1))))))))))))))))))))
0(0(3(4(4(4(2(4(5(1(3(3(1(2(2(1(1(2(2(0(x1)))))))))))))))))))) -> 0(5(3(1(4(4(5(2(4(3(5(1(1(0(0(4(4(1(1(4(x1))))))))))))))))))))
0(0(4(3(1(0(3(3(2(1(4(2(4(3(1(2(1(3(5(1(x1)))))))))))))))))))) -> 1(3(4(5(0(1(1(3(5(3(4(2(1(2(0(2(5(0(4(1(x1))))))))))))))))))))
0(1(0(3(2(2(2(4(2(5(0(4(4(4(1(3(0(3(3(5(x1)))))))))))))))))))) -> 5(0(4(5(3(2(5(0(5(5(0(0(3(0(5(1(2(3(5(1(x1))))))))))))))))))))
0(1(0(4(1(1(4(0(0(1(2(1(1(3(3(2(5(3(4(4(x1)))))))))))))))))))) -> 5(0(0(3(5(0(2(0(1(5(0(4(1(3(1(5(1(3(5(3(x1))))))))))))))))))))
0(1(1(3(4(5(5(2(0(5(3(3(3(0(2(0(5(0(4(0(x1)))))))))))))))))))) -> 1(1(0(5(1(1(5(3(2(5(3(4(4(1(1(3(4(2(1(5(x1))))))))))))))))))))
0(1(1(5(4(4(2(1(1(2(2(3(4(4(0(5(0(4(2(2(x1)))))))))))))))))))) -> 2(4(2(4(5(2(1(0(1(4(4(5(0(2(1(5(5(1(1(3(x1))))))))))))))))))))
0(1(2(2(3(2(1(5(0(3(1(1(4(1(3(5(1(4(5(4(x1)))))))))))))))))))) -> 1(1(1(4(3(1(2(5(1(2(1(2(0(0(3(3(0(2(0(3(x1))))))))))))))))))))
0(1(5(2(5(4(4(0(3(4(0(0(3(5(0(1(3(3(4(2(x1)))))))))))))))))))) -> 1(3(3(2(4(1(2(5(1(4(1(5(4(3(2(5(1(0(2(0(x1))))))))))))))))))))
0(2(1(1(1(5(5(4(2(5(2(1(1(0(1(5(5(0(2(5(x1)))))))))))))))))))) -> 5(5(1(3(1(1(2(0(3(5(1(5(1(3(3(0(3(5(5(5(x1))))))))))))))))))))
0(2(3(4(0(0(1(1(5(3(0(4(5(0(0(0(1(5(2(1(x1)))))))))))))))))))) -> 0(0(4(5(5(1(3(5(5(1(1(1(2(5(4(1(1(0(5(4(x1))))))))))))))))))))
0(2(4(5(0(4(0(1(2(5(0(2(4(3(3(5(1(3(3(2(x1)))))))))))))))))))) -> 0(5(1(1(4(1(3(0(4(5(2(4(3(4(3(1(4(5(0(5(x1))))))))))))))))))))
0(3(0(3(5(1(1(1(1(5(5(3(5(5(5(0(3(4(4(0(x1)))))))))))))))))))) -> 1(5(1(5(5(0(4(1(3(1(1(2(1(1(5(1(5(2(1(2(x1))))))))))))))))))))
0(3(3(1(4(2(5(3(2(2(1(0(1(3(1(2(2(0(5(3(x1)))))))))))))))))))) -> 3(4(1(0(4(5(1(4(0(4(1(2(2(0(3(1(1(0(5(3(x1))))))))))))))))))))
0(3(5(2(2(0(4(2(2(1(5(0(5(2(0(4(4(4(0(4(x1)))))))))))))))))))) -> 1(2(3(4(1(1(4(5(5(5(5(1(5(1(3(5(2(2(4(5(x1))))))))))))))))))))
0(4(0(3(1(3(5(5(0(0(5(0(0(3(0(4(0(0(5(4(x1)))))))))))))))))))) -> 5(5(1(2(5(1(1(0(0(2(4(0(2(0(5(0(5(0(2(0(x1))))))))))))))))))))
0(4(5(0(2(4(0(3(2(5(0(3(1(3(1(1(1(3(4(2(x1)))))))))))))))))))) -> 0(4(3(3(5(1(1(1(0(1(1(5(1(3(4(2(0(5(1(3(x1))))))))))))))))))))
0(4(5(5(5(3(3(1(0(4(3(4(5(0(2(4(5(3(0(5(x1)))))))))))))))))))) -> 3(3(2(5(5(0(3(1(3(3(4(5(1(0(1(3(3(1(2(1(x1))))))))))))))))))))
0(5(1(2(3(3(2(4(1(2(1(0(0(4(3(5(0(1(2(2(x1)))))))))))))))))))) -> 3(2(2(1(5(3(5(0(3(5(1(5(0(0(4(1(4(3(5(0(x1))))))))))))))))))))
0(5(3(5(0(0(2(0(3(3(0(4(4(1(4(0(5(0(5(0(x1)))))))))))))))))))) -> 4(3(3(4(0(5(3(2(0(3(1(1(5(1(1(3(1(0(1(1(x1))))))))))))))))))))
0(5(4(3(5(3(3(5(5(5(1(0(4(4(3(1(2(5(0(3(x1)))))))))))))))))))) -> 5(0(3(4(2(4(3(2(5(1(1(4(1(1(2(3(5(1(3(0(x1))))))))))))))))))))
1(0(0(5(2(3(1(0(1(4(3(0(1(2(0(2(1(4(4(2(x1)))))))))))))))))))) -> 1(3(0(5(2(2(5(3(2(1(4(0(5(1(3(3(5(0(5(1(x1))))))))))))))))))))
1(0(1(0(4(2(2(3(0(1(1(5(5(1(2(1(3(5(1(2(x1)))))))))))))))))))) -> 4(5(0(1(3(4(3(1(3(0(4(0(0(5(0(0(3(1(1(5(x1))))))))))))))))))))
1(0(3(0(0(4(5(0(2(3(2(0(5(5(1(2(0(5(5(4(x1)))))))))))))))))))) -> 0(2(5(1(2(1(0(4(0(3(0(5(1(5(0(4(2(3(2(0(x1))))))))))))))))))))
1(0(3(1(0(5(3(3(5(1(2(4(5(4(1(4(4(4(3(5(x1)))))))))))))))))))) -> 5(1(1(4(1(5(5(1(4(1(1(4(3(2(1(4(4(1(3(5(x1))))))))))))))))))))
1(0(3(3(1(4(0(0(4(3(3(0(4(2(3(5(5(0(3(5(x1)))))))))))))))))))) -> 5(5(2(1(1(0(0(2(5(5(5(1(1(1(0(4(1(3(2(5(x1))))))))))))))))))))
1(0(3(3(1(4(5(3(2(0(4(4(1(1(4(3(0(4(5(2(x1)))))))))))))))))))) -> 1(0(0(5(0(4(3(0(0(3(4(3(1(2(3(2(5(1(0(3(x1))))))))))))))))))))
1(0(4(4(1(1(3(2(3(2(4(5(4(5(0(1(5(5(4(1(x1)))))))))))))))))))) -> 1(0(2(0(3(5(0(5(1(5(4(0(0(0(1(0(2(4(2(3(x1))))))))))))))))))))
1(1(0(4(1(2(0(5(1(3(0(1(4(0(0(0(5(4(3(2(x1)))))))))))))))))))) -> 5(5(1(4(1(0(1(0(1(2(3(1(3(0(0(5(1(3(1(3(x1))))))))))))))))))))
1(1(2(2(4(4(2(1(3(3(1(1(3(3(1(5(0(5(1(3(x1)))))))))))))))))))) -> 1(1(0(1(4(3(1(3(2(0(1(5(0(5(5(4(4(4(5(0(x1))))))))))))))))))))
1(1(3(3(5(0(3(2(5(0(4(0(0(1(5(4(3(1(2(2(x1)))))))))))))))))))) -> 5(1(5(4(1(1(0(1(4(2(2(5(1(2(5(5(1(3(5(1(x1))))))))))))))))))))
1(1(3(5(0(1(1(0(0(1(1(5(4(2(0(1(2(4(5(4(x1)))))))))))))))))))) -> 1(5(0(3(2(1(4(5(1(0(5(3(5(1(2(3(1(3(1(1(x1))))))))))))))))))))
1(1(4(5(1(1(2(5(1(2(0(1(1(4(2(0(5(4(4(4(x1)))))))))))))))))))) -> 5(5(0(1(4(5(1(1(3(2(5(5(0(3(2(0(1(2(4(0(x1))))))))))))))))))))
1(1(5(4(4(1(2(2(5(5(0(3(5(2(5(3(0(4(1(5(x1)))))))))))))))))))) -> 4(2(1(0(4(1(1(1(4(0(0(3(0(1(5(0(1(5(1(0(x1))))))))))))))))))))
1(1(5(5(5(4(2(5(5(0(0(0(5(3(0(4(0(4(2(1(x1)))))))))))))))))))) -> 1(2(4(1(2(0(0(5(5(1(4(3(3(0(1(0(0(4(3(2(x1))))))))))))))))))))
1(2(0(5(2(3(3(0(2(4(5(1(5(4(2(4(1(4(1(3(x1)))))))))))))))))))) -> 2(3(3(3(1(5(1(3(5(1(1(5(2(3(3(5(0(2(0(1(x1))))))))))))))))))))
1(4(1(3(4(1(0(3(4(4(3(5(4(5(5(0(1(0(0(1(x1)))))))))))))))))))) -> 5(1(5(0(3(1(2(3(3(1(4(0(1(5(5(0(1(2(4(4(x1))))))))))))))))))))
1(4(3(1(5(0(2(5(4(3(1(5(0(1(2(2(5(3(5(2(x1)))))))))))))))))))) -> 5(5(2(1(3(1(0(2(3(4(1(5(0(3(2(1(3(3(1(1(x1))))))))))))))))))))
1(4(3(3(0(5(0(5(4(2(1(2(5(0(3(2(1(0(1(4(x1)))))))))))))))))))) -> 1(1(3(3(5(4(3(2(1(4(1(5(3(1(4(1(1(4(5(1(x1))))))))))))))))))))
1(4(4(1(0(1(5(5(4(0(0(3(1(4(0(4(5(5(0(1(x1)))))))))))))))))))) -> 1(1(3(1(2(0(0(5(1(0(2(3(0(1(5(1(4(3(1(3(x1))))))))))))))))))))
1(4(5(3(4(1(3(1(1(3(1(4(3(3(2(0(5(4(4(5(x1)))))))))))))))))))) -> 0(4(4(1(2(1(2(1(3(0(5(5(1(2(3(4(0(1(3(5(x1))))))))))))))))))))
1(5(1(2(4(5(1(4(3(2(1(5(1(2(1(2(1(4(0(3(x1)))))))))))))))))))) -> 0(5(0(0(5(0(3(2(0(1(4(2(0(5(1(1(5(0(2(4(x1))))))))))))))))))))
1(5(1(5(1(4(1(0(0(3(3(3(0(2(1(0(0(0(0(3(x1)))))))))))))))))))) -> 1(1(3(2(5(1(0(0(0(1(4(1(5(0(1(5(5(0(0(0(x1))))))))))))))))))))
1(5(3(0(4(0(2(5(4(5(2(0(3(2(0(5(0(3(4(3(x1)))))))))))))))))))) -> 5(5(0(2(0(1(2(3(0(1(5(3(2(2(5(1(5(3(4(4(x1))))))))))))))))))))
2(0(5(3(1(2(4(2(3(0(3(5(4(2(5(2(1(3(5(1(x1)))))))))))))))))))) -> 4(3(1(1(4(4(0(4(2(4(2(0(5(4(2(4(5(0(0(3(x1))))))))))))))))))))
2(1(0(2(5(1(1(0(1(4(3(3(3(1(0(4(3(0(5(2(x1)))))))))))))))))))) -> 1(3(4(5(1(5(1(4(0(5(0(2(0(0(0(3(0(2(1(5(x1))))))))))))))))))))
2(1(3(5(1(5(1(0(4(2(2(3(3(1(1(3(3(1(5(2(x1)))))))))))))))))))) -> 3(2(1(4(5(0(0(3(1(3(5(1(1(1(0(0(4(5(2(5(x1))))))))))))))))))))
2(1(4(2(1(4(1(2(2(1(4(1(2(4(3(4(2(3(0(1(x1)))))))))))))))))))) -> 1(2(3(2(3(0(0(4(4(4(0(3(2(3(5(0(1(5(1(3(x1))))))))))))))))))))
2(3(1(1(1(2(1(3(2(0(1(4(3(5(0(4(3(1(2(2(x1)))))))))))))))))))) -> 1(0(4(2(0(0(5(1(0(5(5(0(3(0(0(1(0(2(5(0(x1))))))))))))))))))))
2(5(1(1(1(5(2(0(5(5(2(4(0(2(5(0(5(4(3(2(x1)))))))))))))))))))) -> 1(3(3(1(5(3(2(3(2(5(4(0(3(3(3(0(2(5(0(1(x1))))))))))))))))))))
2(5(1(3(0(5(3(5(1(2(4(4(1(2(0(0(5(2(1(5(x1)))))))))))))))))))) -> 4(2(3(1(4(3(1(5(5(2(1(2(3(3(0(4(4(5(1(5(x1))))))))))))))))))))
2(5(3(2(4(2(0(2(5(2(1(2(0(5(1(2(1(4(0(0(x1)))))))))))))))))))) -> 1(1(5(4(5(1(2(5(4(5(4(0(5(2(5(2(0(3(1(4(x1))))))))))))))))))))
2(5(4(0(1(3(2(1(4(5(0(0(0(0(5(4(1(4(4(5(x1)))))))))))))))))))) -> 2(1(2(5(1(1(4(4(3(4(5(1(1(0(1(0(3(5(0(1(x1))))))))))))))))))))
3(0(0(0(0(3(4(1(2(0(3(2(4(3(4(4(0(4(4(1(x1)))))))))))))))))))) -> 1(1(4(4(0(2(1(4(0(2(0(4(5(1(3(3(0(5(5(4(x1))))))))))))))))))))
3(0(1(1(1(1(2(3(4(5(2(5(5(3(1(2(1(3(3(3(x1)))))))))))))))))))) -> 3(4(4(0(5(1(1(2(0(4(3(0(1(1(0(0(1(0(4(2(x1))))))))))))))))))))
3(0(4(3(3(5(3(2(3(3(5(0(4(2(0(0(3(0(0(0(x1)))))))))))))))))))) -> 5(1(2(1(5(4(3(0(3(4(1(0(0(5(1(0(0(4(5(3(x1))))))))))))))))))))
3(1(3(0(1(4(1(3(4(0(2(1(1(4(5(4(0(0(1(3(x1)))))))))))))))))))) -> 4(5(1(0(4(1(5(1(0(4(5(5(1(3(0(4(5(5(1(0(x1))))))))))))))))))))
3(1(3(1(1(0(4(2(4(2(2(2(3(0(0(5(2(5(0(5(x1)))))))))))))))))))) -> 4(1(3(3(0(1(5(4(5(2(4(3(3(5(3(1(3(4(0(5(x1))))))))))))))))))))
3(1(3(1(5(0(2(5(3(1(3(1(3(4(0(0(0(1(5(4(x1)))))))))))))))))))) -> 1(5(1(4(0(0(1(2(0(1(3(2(1(5(1(0(1(5(3(2(x1))))))))))))))))))))
3(1(4(2(3(2(0(5(0(3(1(0(1(2(3(5(4(0(1(4(x1)))))))))))))))))))) -> 2(4(1(2(1(5(0(0(5(3(2(4(5(0(2(3(0(1(1(1(x1))))))))))))))))))))
3(2(5(1(4(4(3(1(1(1(5(0(2(3(3(0(4(1(1(3(x1)))))))))))))))))))) -> 1(1(3(3(1(3(5(3(3(0(3(5(0(4(5(0(4(1(5(1(x1))))))))))))))))))))
3(3(1(3(1(3(0(2(0(2(4(2(1(1(2(4(5(0(3(4(x1)))))))))))))))))))) -> 2(2(0(0(1(5(2(5(0(0(5(1(1(0(1(2(2(5(0(4(x1))))))))))))))))))))
3(3(3(5(4(4(0(5(4(1(4(3(1(3(3(2(1(5(3(1(x1)))))))))))))))))))) -> 1(3(3(4(0(3(4(1(2(1(1(0(0(2(4(5(4(1(4(0(x1))))))))))))))))))))
3(3(4(2(2(5(1(4(1(1(1(2(4(1(4(3(0(4(1(5(x1)))))))))))))))))))) -> 3(0(5(1(3(3(1(4(1(3(1(2(3(5(3(3(1(4(4(5(x1))))))))))))))))))))
3(3(4(5(3(0(5(0(1(3(2(2(5(0(3(3(2(2(0(5(x1)))))))))))))))))))) -> 0(3(1(4(0(1(3(5(3(3(1(1(5(2(1(4(5(0(3(4(x1))))))))))))))))))))
3(4(2(4(1(1(1(3(0(1(0(3(2(3(2(1(4(3(2(0(x1)))))))))))))))))))) -> 5(3(4(2(1(1(0(2(0(0(1(2(5(2(0(1(3(5(0(4(x1))))))))))))))))))))
3(4(2(5(5(0(3(0(0(0(3(4(1(1(0(1(1(5(3(1(x1)))))))))))))))))))) -> 3(5(5(2(0(0(0(5(0(0(0(5(5(1(0(5(0(0(0(1(x1))))))))))))))))))))
3(5(0(1(5(0(3(3(2(3(5(3(2(1(4(1(3(3(1(0(x1)))))))))))))))))))) -> 5(5(0(2(0(5(1(4(5(5(1(1(2(1(3(1(5(4(0(4(x1))))))))))))))))))))
3(5(4(2(0(1(0(1(0(1(3(1(2(2(1(1(1(4(3(0(x1)))))))))))))))))))) -> 2(5(2(1(1(1(1(1(4(1(1(3(2(1(5(0(5(0(0(2(x1))))))))))))))))))))
3(5(5(5(3(0(1(4(0(3(3(3(0(5(1(0(1(1(5(4(x1)))))))))))))))))))) -> 4(1(1(2(2(3(1(3(1(1(3(3(5(1(0(1(5(0(2(5(x1))))))))))))))))))))
4(0(3(4(3(0(5(0(3(0(2(3(3(1(0(3(0(4(0(5(x1)))))))))))))))))))) -> 0(1(4(4(3(1(1(3(4(4(0(1(3(4(5(0(1(1(0(5(x1))))))))))))))))))))
4(1(2(2(3(0(1(1(2(1(5(4(4(1(4(2(1(2(5(2(x1)))))))))))))))))))) -> 5(5(5(1(1(0(4(1(1(1(2(2(4(5(2(2(0(5(5(0(x1))))))))))))))))))))
4(2(3(3(1(2(3(2(1(1(1(0(0(4(5(1(2(0(5(0(x1)))))))))))))))))))) -> 5(1(0(0(1(3(0(4(1(1(0(3(1(0(1(4(1(5(0(5(x1))))))))))))))))))))
4(3(1(4(1(1(1(1(3(3(0(0(5(5(0(2(5(3(1(1(x1)))))))))))))))))))) -> 0(0(1(3(3(3(1(3(4(2(1(5(1(1(4(1(1(0(3(1(x1))))))))))))))))))))
4(3(4(1(3(1(4(4(1(4(0(1(3(4(5(4(2(2(5(1(x1)))))))))))))))))))) -> 3(4(3(3(5(3(3(2(1(2(0(4(0(3(5(1(1(0(2(0(x1))))))))))))))))))))
4(4(0(2(2(0(1(2(2(3(2(4(5(1(0(3(0(5(4(0(x1)))))))))))))))))))) -> 1(2(1(5(4(1(0(1(2(0(2(0(4(4(5(4(3(3(4(5(x1))))))))))))))))))))
4(4(3(2(3(1(2(0(4(2(0(0(3(5(1(0(5(5(3(5(x1)))))))))))))))))))) -> 3(2(1(5(1(3(0(1(1(0(1(5(1(1(4(1(5(5(4(1(x1))))))))))))))))))))
4(5(1(4(3(1(1(2(0(0(4(2(4(1(1(0(5(4(3(3(x1)))))))))))))))))))) -> 1(3(1(1(4(3(1(2(1(5(2(2(3(3(3(1(1(0(3(4(x1))))))))))))))))))))
4(5(5(3(3(0(2(4(0(4(3(5(0(4(0(4(0(0(0(4(x1)))))))))))))))))))) -> 3(2(1(4(4(0(2(1(1(0(1(1(5(2(2(5(5(0(0(2(x1))))))))))))))))))))
5(0(1(3(2(1(1(4(4(3(4(3(1(5(5(1(2(2(4(5(x1)))))))))))))))))))) -> 3(1(1(2(0(1(2(1(0(3(1(1(4(5(3(5(1(1(5(1(x1))))))))))))))))))))
5(0(3(2(5(1(0(4(3(3(0(1(3(2(5(0(1(5(2(5(x1)))))))))))))))))))) -> 1(4(4(1(1(0(3(3(3(1(3(1(1(5(0(3(5(5(1(1(x1))))))))))))))))))))
5(0(3(3(1(0(3(1(5(3(3(2(5(0(0(3(3(4(3(5(x1)))))))))))))))))))) -> 0(1(0(2(3(2(0(5(1(1(2(0(1(3(4(1(4(5(4(5(x1))))))))))))))))))))
5(0(3(3(2(0(1(0(5(1(1(0(0(1(2(4(2(4(1(3(x1)))))))))))))))))))) -> 5(5(3(1(3(5(1(5(0(1(0(1(0(0(0(5(5(5(1(2(x1))))))))))))))))))))
5(0(3(4(3(1(5(5(1(3(4(0(5(3(1(2(5(3(5(0(x1)))))))))))))))))))) -> 4(1(0(0(1(5(1(5(1(2(0(1(5(3(4(4(5(5(1(4(x1))))))))))))))))))))
5(0(4(2(1(3(5(5(0(3(5(2(0(2(2(5(3(0(0(5(x1)))))))))))))))))))) -> 3(5(5(0(3(1(5(1(0(1(3(2(0(4(3(4(5(1(4(1(x1))))))))))))))))))))
5(0(5(0(2(0(4(3(4(2(3(4(2(1(5(4(0(1(3(5(x1)))))))))))))))))))) -> 5(0(3(0(5(4(2(0(3(5(1(5(4(3(0(0(0(1(5(5(x1))))))))))))))))))))
5(1(2(1(3(0(3(5(5(2(2(3(3(1(5(2(0(0(5(3(x1)))))))))))))))))))) -> 2(0(0(1(2(4(1(3(0(0(1(5(3(4(2(4(1(2(5(0(x1))))))))))))))))))))
5(1(3(4(2(1(5(1(1(4(5(0(2(1(0(3(2(1(0(0(x1)))))))))))))))))))) -> 0(1(5(1(4(1(5(2(0(5(5(5(1(5(1(0(0(2(0(3(x1))))))))))))))))))))
5(1(3(5(2(5(4(4(5(1(5(5(1(0(0(1(4(3(1(2(x1)))))))))))))))))))) -> 5(0(5(5(1(5(0(3(2(3(4(5(2(1(0(0(0(1(3(5(x1))))))))))))))))))))
5(2(0(3(4(2(0(0(1(0(1(2(2(3(1(1(2(4(5(0(x1)))))))))))))))))))) -> 1(3(2(1(5(4(1(3(3(0(3(4(1(4(5(0(1(5(0(5(x1))))))))))))))))))))
5(2(0(5(0(5(5(5(5(2(2(2(5(1(2(0(5(5(4(5(x1)))))))))))))))))))) -> 5(1(2(3(0(1(0(4(2(1(5(0(1(0(1(5(5(5(2(3(x1))))))))))))))))))))
5(2(3(4(3(2(0(1(1(2(3(1(5(1(1(4(1(4(4(3(x1)))))))))))))))))))) -> 5(1(0(4(3(0(1(0(1(0(2(3(4(2(2(5(5(1(0(4(x1))))))))))))))))))))
5(3(3(2(0(3(4(3(2(5(0(2(5(0(3(0(5(1(5(5(x1)))))))))))))))))))) -> 3(1(2(3(0(1(5(1(1(5(5(1(0(0(3(5(2(1(2(1(x1))))))))))))))))))))
5(3(4(3(2(0(1(5(1(1(1(4(3(5(5(4(5(5(2(3(x1)))))))))))))))))))) -> 5(1(4(4(3(2(5(5(2(5(1(4(1(1(3(3(0(5(3(1(x1))))))))))))))))))))
5(4(4(3(0(5(1(3(1(0(1(1(3(0(3(5(2(0(4(2(x1)))))))))))))))))))) -> 4(0(5(0(3(4(3(1(1(2(2(0(2(0(2(1(1(4(0(5(x1))))))))))))))))))))
5(5(0(2(0(5(3(1(2(3(2(2(2(0(4(5(4(0(3(5(x1)))))))))))))))))))) -> 1(0(4(0(2(4(3(5(5(3(1(0(2(0(3(1(2(4(5(5(x1))))))))))))))))))))
5(5(1(1(1(3(3(5(2(4(1(1(1(1(3(3(0(5(4(4(x1)))))))))))))))))))) -> 0(5(2(1(1(1(1(4(0(5(4(3(3(5(0(4(2(1(3(0(x1))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encArg(cons_4(x_1)) -> 4(encArg(x_1))
encArg(cons_5(x_1)) -> 5(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 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
1 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
2 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
3 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
4 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
5 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
cons_0 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_1 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_2 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_3 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_4 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_5 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
encode_0 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_5 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
hole_0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_51_6 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
hole_cons_0:cons_1:cons_2:cons_3:cons_4:cons_52_6 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
gen_cons_0:cons_1:cons_2:cons_3:cons_4:cons_53_6 :: Nat -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5

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

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

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

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

(12)
Obligation:
Innermost TRS:
Rules:
0(0(0(0(1(2(3(2(4(2(0(4(3(2(2(3(1(0(5(0(x1)))))))))))))))))))) -> 3(5(5(4(2(0(1(0(0(0(4(0(3(2(2(5(1(2(1(1(x1))))))))))))))))))))
0(0(1(0(4(5(0(0(3(4(1(5(0(2(3(2(4(0(0(1(x1)))))))))))))))))))) -> 1(5(0(1(1(0(3(5(1(4(5(5(0(2(1(5(2(3(3(0(x1))))))))))))))))))))
0(0(2(0(1(2(2(0(4(0(0(5(5(1(0(0(1(3(4(3(x1)))))))))))))))))))) -> 0(1(1(0(1(4(4(5(3(1(5(1(5(5(0(5(1(3(2(1(x1))))))))))))))))))))
0(0(3(4(4(4(2(4(5(1(3(3(1(2(2(1(1(2(2(0(x1)))))))))))))))))))) -> 0(5(3(1(4(4(5(2(4(3(5(1(1(0(0(4(4(1(1(4(x1))))))))))))))))))))
0(0(4(3(1(0(3(3(2(1(4(2(4(3(1(2(1(3(5(1(x1)))))))))))))))))))) -> 1(3(4(5(0(1(1(3(5(3(4(2(1(2(0(2(5(0(4(1(x1))))))))))))))))))))
0(1(0(3(2(2(2(4(2(5(0(4(4(4(1(3(0(3(3(5(x1)))))))))))))))))))) -> 5(0(4(5(3(2(5(0(5(5(0(0(3(0(5(1(2(3(5(1(x1))))))))))))))))))))
0(1(0(4(1(1(4(0(0(1(2(1(1(3(3(2(5(3(4(4(x1)))))))))))))))))))) -> 5(0(0(3(5(0(2(0(1(5(0(4(1(3(1(5(1(3(5(3(x1))))))))))))))))))))
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5(0(5(0(2(0(4(3(4(2(3(4(2(1(5(4(0(1(3(5(x1)))))))))))))))))))) -> 5(0(3(0(5(4(2(0(3(5(1(5(4(3(0(0(0(1(5(5(x1))))))))))))))))))))
5(1(2(1(3(0(3(5(5(2(2(3(3(1(5(2(0(0(5(3(x1)))))))))))))))))))) -> 2(0(0(1(2(4(1(3(0(0(1(5(3(4(2(4(1(2(5(0(x1))))))))))))))))))))
5(1(3(4(2(1(5(1(1(4(5(0(2(1(0(3(2(1(0(0(x1)))))))))))))))))))) -> 0(1(5(1(4(1(5(2(0(5(5(5(1(5(1(0(0(2(0(3(x1))))))))))))))))))))
5(1(3(5(2(5(4(4(5(1(5(5(1(0(0(1(4(3(1(2(x1)))))))))))))))))))) -> 5(0(5(5(1(5(0(3(2(3(4(5(2(1(0(0(0(1(3(5(x1))))))))))))))))))))
5(2(0(3(4(2(0(0(1(0(1(2(2(3(1(1(2(4(5(0(x1)))))))))))))))))))) -> 1(3(2(1(5(4(1(3(3(0(3(4(1(4(5(0(1(5(0(5(x1))))))))))))))))))))
5(2(0(5(0(5(5(5(5(2(2(2(5(1(2(0(5(5(4(5(x1)))))))))))))))))))) -> 5(1(2(3(0(1(0(4(2(1(5(0(1(0(1(5(5(5(2(3(x1))))))))))))))))))))
5(2(3(4(3(2(0(1(1(2(3(1(5(1(1(4(1(4(4(3(x1)))))))))))))))))))) -> 5(1(0(4(3(0(1(0(1(0(2(3(4(2(2(5(5(1(0(4(x1))))))))))))))))))))
5(3(3(2(0(3(4(3(2(5(0(2(5(0(3(0(5(1(5(5(x1)))))))))))))))))))) -> 3(1(2(3(0(1(5(1(1(5(5(1(0(0(3(5(2(1(2(1(x1))))))))))))))))))))
5(3(4(3(2(0(1(5(1(1(1(4(3(5(5(4(5(5(2(3(x1)))))))))))))))))))) -> 5(1(4(4(3(2(5(5(2(5(1(4(1(1(3(3(0(5(3(1(x1))))))))))))))))))))
5(4(4(3(0(5(1(3(1(0(1(1(3(0(3(5(2(0(4(2(x1)))))))))))))))))))) -> 4(0(5(0(3(4(3(1(1(2(2(0(2(0(2(1(1(4(0(5(x1))))))))))))))))))))
5(5(0(2(0(5(3(1(2(3(2(2(2(0(4(5(4(0(3(5(x1)))))))))))))))))))) -> 1(0(4(0(2(4(3(5(5(3(1(0(2(0(3(1(2(4(5(5(x1))))))))))))))))))))
5(5(1(1(1(3(3(5(2(4(1(1(1(1(3(3(0(5(4(4(x1)))))))))))))))))))) -> 0(5(2(1(1(1(1(4(0(5(4(3(3(5(0(4(2(1(3(0(x1))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_3(x_1)) -> 3(encArg(x_1))
encArg(cons_4(x_1)) -> 4(encArg(x_1))
encArg(cons_5(x_1)) -> 5(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 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
1 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
2 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
3 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
4 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
5 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
cons_0 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_1 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_2 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_3 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_4 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_5 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
encode_0 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
encode_5 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
hole_0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_51_6 :: 0:5:1:3:2:4:encArg:encode_0:encode_1:encode_2:encode_3:encode_4:encode_5
hole_cons_0:cons_1:cons_2:cons_3:cons_4:cons_52_6 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
gen_cons_0:cons_1:cons_2:cons_3:cons_4:cons_53_6 :: Nat -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5


Generator Equations:
gen_cons_0:cons_1:cons_2:cons_3:cons_4:cons_53_6(0) <=> hole_cons_0:cons_1:cons_2:cons_3:cons_4:cons_52_6
gen_cons_0:cons_1:cons_2:cons_3:cons_4:cons_53_6(+(x, 1)) <=> cons_0(gen_cons_0:cons_1:cons_2:cons_3:cons_4:cons_53_6(x))


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

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

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

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

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


The TRS R consists of the following rules:

   0(0(0(0(1(2(3(2(4(2(0(4(3(2(2(3(1(0(5(0(x1)))))))))))))))))))) -> 3(5(5(4(2(0(1(0(0(0(4(0(3(2(2(5(1(2(1(1(x1))))))))))))))))))))
   0(0(1(0(4(5(0(0(3(4(1(5(0(2(3(2(4(0(0(1(x1)))))))))))))))))))) -> 1(5(0(1(1(0(3(5(1(4(5(5(0(2(1(5(2(3(3(0(x1))))))))))))))))))))
   0(0(2(0(1(2(2(0(4(0(0(5(5(1(0(0(1(3(4(3(x1)))))))))))))))))))) -> 0(1(1(0(1(4(4(5(3(1(5(1(5(5(0(5(1(3(2(1(x1))))))))))))))))))))
   0(0(3(4(4(4(2(4(5(1(3(3(1(2(2(1(1(2(2(0(x1)))))))))))))))))))) -> 0(5(3(1(4(4(5(2(4(3(5(1(1(0(0(4(4(1(1(4(x1))))))))))))))))))))
   0(0(4(3(1(0(3(3(2(1(4(2(4(3(1(2(1(3(5(1(x1)))))))))))))))))))) -> 1(3(4(5(0(1(1(3(5(3(4(2(1(2(0(2(5(0(4(1(x1))))))))))))))))))))
   0(1(0(3(2(2(2(4(2(5(0(4(4(4(1(3(0(3(3(5(x1)))))))))))))))))))) -> 5(0(4(5(3(2(5(0(5(5(0(0(3(0(5(1(2(3(5(1(x1))))))))))))))))))))
   0(1(0(4(1(1(4(0(0(1(2(1(1(3(3(2(5(3(4(4(x1)))))))))))))))))))) -> 5(0(0(3(5(0(2(0(1(5(0(4(1(3(1(5(1(3(5(3(x1))))))))))))))))))))
   0(1(1(3(4(5(5(2(0(5(3(3(3(0(2(0(5(0(4(0(x1)))))))))))))))))))) -> 1(1(0(5(1(1(5(3(2(5(3(4(4(1(1(3(4(2(1(5(x1))))))))))))))))))))
   0(1(1(5(4(4(2(1(1(2(2(3(4(4(0(5(0(4(2(2(x1)))))))))))))))))))) -> 2(4(2(4(5(2(1(0(1(4(4(5(0(2(1(5(5(1(1(3(x1))))))))))))))))))))
   0(1(2(2(3(2(1(5(0(3(1(1(4(1(3(5(1(4(5(4(x1)))))))))))))))))))) -> 1(1(1(4(3(1(2(5(1(2(1(2(0(0(3(3(0(2(0(3(x1))))))))))))))))))))
   0(1(5(2(5(4(4(0(3(4(0(0(3(5(0(1(3(3(4(2(x1)))))))))))))))))))) -> 1(3(3(2(4(1(2(5(1(4(1(5(4(3(2(5(1(0(2(0(x1))))))))))))))))))))
   0(2(1(1(1(5(5(4(2(5(2(1(1(0(1(5(5(0(2(5(x1)))))))))))))))))))) -> 5(5(1(3(1(1(2(0(3(5(1(5(1(3(3(0(3(5(5(5(x1))))))))))))))))))))
   0(2(3(4(0(0(1(1(5(3(0(4(5(0(0(0(1(5(2(1(x1)))))))))))))))))))) -> 0(0(4(5(5(1(3(5(5(1(1(1(2(5(4(1(1(0(5(4(x1))))))))))))))))))))
   0(2(4(5(0(4(0(1(2(5(0(2(4(3(3(5(1(3(3(2(x1)))))))))))))))))))) -> 0(5(1(1(4(1(3(0(4(5(2(4(3(4(3(1(4(5(0(5(x1))))))))))))))))))))
   0(3(0(3(5(1(1(1(1(5(5(3(5(5(5(0(3(4(4(0(x1)))))))))))))))))))) -> 1(5(1(5(5(0(4(1(3(1(1(2(1(1(5(1(5(2(1(2(x1))))))))))))))))))))
   0(3(3(1(4(2(5(3(2(2(1(0(1(3(1(2(2(0(5(3(x1)))))))))))))))))))) -> 3(4(1(0(4(5(1(4(0(4(1(2(2(0(3(1(1(0(5(3(x1))))))))))))))))))))
   0(3(5(2(2(0(4(2(2(1(5(0(5(2(0(4(4(4(0(4(x1)))))))))))))))))))) -> 1(2(3(4(1(1(4(5(5(5(5(1(5(1(3(5(2(2(4(5(x1))))))))))))))))))))
   0(4(0(3(1(3(5(5(0(0(5(0(0(3(0(4(0(0(5(4(x1)))))))))))))))))))) -> 5(5(1(2(5(1(1(0(0(2(4(0(2(0(5(0(5(0(2(0(x1))))))))))))))))))))
   0(4(5(0(2(4(0(3(2(5(0(3(1(3(1(1(1(3(4(2(x1)))))))))))))))))))) -> 0(4(3(3(5(1(1(1(0(1(1(5(1(3(4(2(0(5(1(3(x1))))))))))))))))))))
   0(4(5(5(5(3(3(1(0(4(3(4(5(0(2(4(5(3(0(5(x1)))))))))))))))))))) -> 3(3(2(5(5(0(3(1(3(3(4(5(1(0(1(3(3(1(2(1(x1))))))))))))))))))))
   0(5(1(2(3(3(2(4(1(2(1(0(0(4(3(5(0(1(2(2(x1)))))))))))))))))))) -> 3(2(2(1(5(3(5(0(3(5(1(5(0(0(4(1(4(3(5(0(x1))))))))))))))))))))
   0(5(3(5(0(0(2(0(3(3(0(4(4(1(4(0(5(0(5(0(x1)))))))))))))))))))) -> 4(3(3(4(0(5(3(2(0(3(1(1(5(1(1(3(1(0(1(1(x1))))))))))))))))))))
   0(5(4(3(5(3(3(5(5(5(1(0(4(4(3(1(2(5(0(3(x1)))))))))))))))))))) -> 5(0(3(4(2(4(3(2(5(1(1(4(1(1(2(3(5(1(3(0(x1))))))))))))))))))))
   1(0(0(5(2(3(1(0(1(4(3(0(1(2(0(2(1(4(4(2(x1)))))))))))))))))))) -> 1(3(0(5(2(2(5(3(2(1(4(0(5(1(3(3(5(0(5(1(x1))))))))))))))))))))
   1(0(1(0(4(2(2(3(0(1(1(5(5(1(2(1(3(5(1(2(x1)))))))))))))))))))) -> 4(5(0(1(3(4(3(1(3(0(4(0(0(5(0(0(3(1(1(5(x1))))))))))))))))))))
   1(0(3(0(0(4(5(0(2(3(2(0(5(5(1(2(0(5(5(4(x1)))))))))))))))))))) -> 0(2(5(1(2(1(0(4(0(3(0(5(1(5(0(4(2(3(2(0(x1))))))))))))))))))))
   1(0(3(1(0(5(3(3(5(1(2(4(5(4(1(4(4(4(3(5(x1)))))))))))))))))))) -> 5(1(1(4(1(5(5(1(4(1(1(4(3(2(1(4(4(1(3(5(x1))))))))))))))))))))
   1(0(3(3(1(4(0(0(4(3(3(0(4(2(3(5(5(0(3(5(x1)))))))))))))))))))) -> 5(5(2(1(1(0(0(2(5(5(5(1(1(1(0(4(1(3(2(5(x1))))))))))))))))))))
   1(0(3(3(1(4(5(3(2(0(4(4(1(1(4(3(0(4(5(2(x1)))))))))))))))))))) -> 1(0(0(5(0(4(3(0(0(3(4(3(1(2(3(2(5(1(0(3(x1))))))))))))))))))))
   1(0(4(4(1(1(3(2(3(2(4(5(4(5(0(1(5(5(4(1(x1)))))))))))))))))))) -> 1(0(2(0(3(5(0(5(1(5(4(0(0(0(1(0(2(4(2(3(x1))))))))))))))))))))
   1(1(0(4(1(2(0(5(1(3(0(1(4(0(0(0(5(4(3(2(x1)))))))))))))))))))) -> 5(5(1(4(1(0(1(0(1(2(3(1(3(0(0(5(1(3(1(3(x1))))))))))))))))))))
   1(1(2(2(4(4(2(1(3(3(1(1(3(3(1(5(0(5(1(3(x1)))))))))))))))))))) -> 1(1(0(1(4(3(1(3(2(0(1(5(0(5(5(4(4(4(5(0(x1))))))))))))))))))))
   1(1(3(3(5(0(3(2(5(0(4(0(0(1(5(4(3(1(2(2(x1)))))))))))))))))))) -> 5(1(5(4(1(1(0(1(4(2(2(5(1(2(5(5(1(3(5(1(x1))))))))))))))))))))
   1(1(3(5(0(1(1(0(0(1(1(5(4(2(0(1(2(4(5(4(x1)))))))))))))))))))) -> 1(5(0(3(2(1(4(5(1(0(5(3(5(1(2(3(1(3(1(1(x1))))))))))))))))))))
   1(1(4(5(1(1(2(5(1(2(0(1(1(4(2(0(5(4(4(4(x1)))))))))))))))))))) -> 5(5(0(1(4(5(1(1(3(2(5(5(0(3(2(0(1(2(4(0(x1))))))))))))))))))))
   1(1(5(4(4(1(2(2(5(5(0(3(5(2(5(3(0(4(1(5(x1)))))))))))))))))))) -> 4(2(1(0(4(1(1(1(4(0(0(3(0(1(5(0(1(5(1(0(x1))))))))))))))))))))
   1(1(5(5(5(4(2(5(5(0(0(0(5(3(0(4(0(4(2(1(x1)))))))))))))))))))) -> 1(2(4(1(2(0(0(5(5(1(4(3(3(0(1(0(0(4(3(2(x1))))))))))))))))))))
   1(2(0(5(2(3(3(0(2(4(5(1(5(4(2(4(1(4(1(3(x1)))))))))))))))))))) -> 2(3(3(3(1(5(1(3(5(1(1(5(2(3(3(5(0(2(0(1(x1))))))))))))))))))))
   1(4(1(3(4(1(0(3(4(4(3(5(4(5(5(0(1(0(0(1(x1)))))))))))))))))))) -> 5(1(5(0(3(1(2(3(3(1(4(0(1(5(5(0(1(2(4(4(x1))))))))))))))))))))
   1(4(3(1(5(0(2(5(4(3(1(5(0(1(2(2(5(3(5(2(x1)))))))))))))))))))) -> 5(5(2(1(3(1(0(2(3(4(1(5(0(3(2(1(3(3(1(1(x1))))))))))))))))))))
   1(4(3(3(0(5(0(5(4(2(1(2(5(0(3(2(1(0(1(4(x1)))))))))))))))))))) -> 1(1(3(3(5(4(3(2(1(4(1(5(3(1(4(1(1(4(5(1(x1))))))))))))))))))))
   1(4(4(1(0(1(5(5(4(0(0(3(1(4(0(4(5(5(0(1(x1)))))))))))))))))))) -> 1(1(3(1(2(0(0(5(1(0(2(3(0(1(5(1(4(3(1(3(x1))))))))))))))))))))
   1(4(5(3(4(1(3(1(1(3(1(4(3(3(2(0(5(4(4(5(x1)))))))))))))))))))) -> 0(4(4(1(2(1(2(1(3(0(5(5(1(2(3(4(0(1(3(5(x1))))))))))))))))))))
   1(5(1(2(4(5(1(4(3(2(1(5(1(2(1(2(1(4(0(3(x1)))))))))))))))))))) -> 0(5(0(0(5(0(3(2(0(1(4(2(0(5(1(1(5(0(2(4(x1))))))))))))))))))))
   1(5(1(5(1(4(1(0(0(3(3(3(0(2(1(0(0(0(0(3(x1)))))))))))))))))))) -> 1(1(3(2(5(1(0(0(0(1(4(1(5(0(1(5(5(0(0(0(x1))))))))))))))))))))
   1(5(3(0(4(0(2(5(4(5(2(0(3(2(0(5(0(3(4(3(x1)))))))))))))))))))) -> 5(5(0(2(0(1(2(3(0(1(5(3(2(2(5(1(5(3(4(4(x1))))))))))))))))))))
   2(0(5(3(1(2(4(2(3(0(3(5(4(2(5(2(1(3(5(1(x1)))))))))))))))))))) -> 4(3(1(1(4(4(0(4(2(4(2(0(5(4(2(4(5(0(0(3(x1))))))))))))))))))))
   2(1(0(2(5(1(1(0(1(4(3(3(3(1(0(4(3(0(5(2(x1)))))))))))))))))))) -> 1(3(4(5(1(5(1(4(0(5(0(2(0(0(0(3(0(2(1(5(x1))))))))))))))))))))
   2(1(3(5(1(5(1(0(4(2(2(3(3(1(1(3(3(1(5(2(x1)))))))))))))))))))) -> 3(2(1(4(5(0(0(3(1(3(5(1(1(1(0(0(4(5(2(5(x1))))))))))))))))))))
   2(1(4(2(1(4(1(2(2(1(4(1(2(4(3(4(2(3(0(1(x1)))))))))))))))))))) -> 1(2(3(2(3(0(0(4(4(4(0(3(2(3(5(0(1(5(1(3(x1))))))))))))))))))))
   2(3(1(1(1(2(1(3(2(0(1(4(3(5(0(4(3(1(2(2(x1)))))))))))))))))))) -> 1(0(4(2(0(0(5(1(0(5(5(0(3(0(0(1(0(2(5(0(x1))))))))))))))))))))
   2(5(1(1(1(5(2(0(5(5(2(4(0(2(5(0(5(4(3(2(x1)))))))))))))))))))) -> 1(3(3(1(5(3(2(3(2(5(4(0(3(3(3(0(2(5(0(1(x1))))))))))))))))))))
   2(5(1(3(0(5(3(5(1(2(4(4(1(2(0(0(5(2(1(5(x1)))))))))))))))))))) -> 4(2(3(1(4(3(1(5(5(2(1(2(3(3(0(4(4(5(1(5(x1))))))))))))))))))))
   2(5(3(2(4(2(0(2(5(2(1(2(0(5(1(2(1(4(0(0(x1)))))))))))))))))))) -> 1(1(5(4(5(1(2(5(4(5(4(0(5(2(5(2(0(3(1(4(x1))))))))))))))))))))
   2(5(4(0(1(3(2(1(4(5(0(0(0(0(5(4(1(4(4(5(x1)))))))))))))))))))) -> 2(1(2(5(1(1(4(4(3(4(5(1(1(0(1(0(3(5(0(1(x1))))))))))))))))))))
   3(0(0(0(0(3(4(1(2(0(3(2(4(3(4(4(0(4(4(1(x1)))))))))))))))))))) -> 1(1(4(4(0(2(1(4(0(2(0(4(5(1(3(3(0(5(5(4(x1))))))))))))))))))))
   3(0(1(1(1(1(2(3(4(5(2(5(5(3(1(2(1(3(3(3(x1)))))))))))))))))))) -> 3(4(4(0(5(1(1(2(0(4(3(0(1(1(0(0(1(0(4(2(x1))))))))))))))))))))
   3(0(4(3(3(5(3(2(3(3(5(0(4(2(0(0(3(0(0(0(x1)))))))))))))))))))) -> 5(1(2(1(5(4(3(0(3(4(1(0(0(5(1(0(0(4(5(3(x1))))))))))))))))))))
   3(1(3(0(1(4(1(3(4(0(2(1(1(4(5(4(0(0(1(3(x1)))))))))))))))))))) -> 4(5(1(0(4(1(5(1(0(4(5(5(1(3(0(4(5(5(1(0(x1))))))))))))))))))))
   3(1(3(1(1(0(4(2(4(2(2(2(3(0(0(5(2(5(0(5(x1)))))))))))))))))))) -> 4(1(3(3(0(1(5(4(5(2(4(3(3(5(3(1(3(4(0(5(x1))))))))))))))))))))
   3(1(3(1(5(0(2(5(3(1(3(1(3(4(0(0(0(1(5(4(x1)))))))))))))))))))) -> 1(5(1(4(0(0(1(2(0(1(3(2(1(5(1(0(1(5(3(2(x1))))))))))))))))))))
   3(1(4(2(3(2(0(5(0(3(1(0(1(2(3(5(4(0(1(4(x1)))))))))))))))))))) -> 2(4(1(2(1(5(0(0(5(3(2(4(5(0(2(3(0(1(1(1(x1))))))))))))))))))))
   3(2(5(1(4(4(3(1(1(1(5(0(2(3(3(0(4(1(1(3(x1)))))))))))))))))))) -> 1(1(3(3(1(3(5(3(3(0(3(5(0(4(5(0(4(1(5(1(x1))))))))))))))))))))
   3(3(1(3(1(3(0(2(0(2(4(2(1(1(2(4(5(0(3(4(x1)))))))))))))))))))) -> 2(2(0(0(1(5(2(5(0(0(5(1(1(0(1(2(2(5(0(4(x1))))))))))))))))))))
   3(3(3(5(4(4(0(5(4(1(4(3(1(3(3(2(1(5(3(1(x1)))))))))))))))))))) -> 1(3(3(4(0(3(4(1(2(1(1(0(0(2(4(5(4(1(4(0(x1))))))))))))))))))))
   3(3(4(2(2(5(1(4(1(1(1(2(4(1(4(3(0(4(1(5(x1)))))))))))))))))))) -> 3(0(5(1(3(3(1(4(1(3(1(2(3(5(3(3(1(4(4(5(x1))))))))))))))))))))
   3(3(4(5(3(0(5(0(1(3(2(2(5(0(3(3(2(2(0(5(x1)))))))))))))))))))) -> 0(3(1(4(0(1(3(5(3(3(1(1(5(2(1(4(5(0(3(4(x1))))))))))))))))))))
   3(4(2(4(1(1(1(3(0(1(0(3(2(3(2(1(4(3(2(0(x1)))))))))))))))))))) -> 5(3(4(2(1(1(0(2(0(0(1(2(5(2(0(1(3(5(0(4(x1))))))))))))))))))))
   3(4(2(5(5(0(3(0(0(0(3(4(1(1(0(1(1(5(3(1(x1)))))))))))))))))))) -> 3(5(5(2(0(0(0(5(0(0(0(5(5(1(0(5(0(0(0(1(x1))))))))))))))))))))
   3(5(0(1(5(0(3(3(2(3(5(3(2(1(4(1(3(3(1(0(x1)))))))))))))))))))) -> 5(5(0(2(0(5(1(4(5(5(1(1(2(1(3(1(5(4(0(4(x1))))))))))))))))))))
   3(5(4(2(0(1(0(1(0(1(3(1(2(2(1(1(1(4(3(0(x1)))))))))))))))))))) -> 2(5(2(1(1(1(1(1(4(1(1(3(2(1(5(0(5(0(0(2(x1))))))))))))))))))))
   3(5(5(5(3(0(1(4(0(3(3(3(0(5(1(0(1(1(5(4(x1)))))))))))))))))))) -> 4(1(1(2(2(3(1(3(1(1(3(3(5(1(0(1(5(0(2(5(x1))))))))))))))))))))
   4(0(3(4(3(0(5(0(3(0(2(3(3(1(0(3(0(4(0(5(x1)))))))))))))))))))) -> 0(1(4(4(3(1(1(3(4(4(0(1(3(4(5(0(1(1(0(5(x1))))))))))))))))))))
   4(1(2(2(3(0(1(1(2(1(5(4(4(1(4(2(1(2(5(2(x1)))))))))))))))))))) -> 5(5(5(1(1(0(4(1(1(1(2(2(4(5(2(2(0(5(5(0(x1))))))))))))))))))))
   4(2(3(3(1(2(3(2(1(1(1(0(0(4(5(1(2(0(5(0(x1)))))))))))))))))))) -> 5(1(0(0(1(3(0(4(1(1(0(3(1(0(1(4(1(5(0(5(x1))))))))))))))))))))
   4(3(1(4(1(1(1(1(3(3(0(0(5(5(0(2(5(3(1(1(x1)))))))))))))))))))) -> 0(0(1(3(3(3(1(3(4(2(1(5(1(1(4(1(1(0(3(1(x1))))))))))))))))))))
   4(3(4(1(3(1(4(4(1(4(0(1(3(4(5(4(2(2(5(1(x1)))))))))))))))))))) -> 3(4(3(3(5(3(3(2(1(2(0(4(0(3(5(1(1(0(2(0(x1))))))))))))))))))))
   4(4(0(2(2(0(1(2(2(3(2(4(5(1(0(3(0(5(4(0(x1)))))))))))))))))))) -> 1(2(1(5(4(1(0(1(2(0(2(0(4(4(5(4(3(3(4(5(x1))))))))))))))))))))
   4(4(3(2(3(1(2(0(4(2(0(0(3(5(1(0(5(5(3(5(x1)))))))))))))))))))) -> 3(2(1(5(1(3(0(1(1(0(1(5(1(1(4(1(5(5(4(1(x1))))))))))))))))))))
   4(5(1(4(3(1(1(2(0(0(4(2(4(1(1(0(5(4(3(3(x1)))))))))))))))))))) -> 1(3(1(1(4(3(1(2(1(5(2(2(3(3(3(1(1(0(3(4(x1))))))))))))))))))))
   4(5(5(3(3(0(2(4(0(4(3(5(0(4(0(4(0(0(0(4(x1)))))))))))))))))))) -> 3(2(1(4(4(0(2(1(1(0(1(1(5(2(2(5(5(0(0(2(x1))))))))))))))))))))
   5(0(1(3(2(1(1(4(4(3(4(3(1(5(5(1(2(2(4(5(x1)))))))))))))))))))) -> 3(1(1(2(0(1(2(1(0(3(1(1(4(5(3(5(1(1(5(1(x1))))))))))))))))))))
   5(0(3(2(5(1(0(4(3(3(0(1(3(2(5(0(1(5(2(5(x1)))))))))))))))))))) -> 1(4(4(1(1(0(3(3(3(1(3(1(1(5(0(3(5(5(1(1(x1))))))))))))))))))))
   5(0(3(3(1(0(3(1(5(3(3(2(5(0(0(3(3(4(3(5(x1)))))))))))))))))))) -> 0(1(0(2(3(2(0(5(1(1(2(0(1(3(4(1(4(5(4(5(x1))))))))))))))))))))
   5(0(3(3(2(0(1(0(5(1(1(0(0(1(2(4(2(4(1(3(x1)))))))))))))))))))) -> 5(5(3(1(3(5(1(5(0(1(0(1(0(0(0(5(5(5(1(2(x1))))))))))))))))))))
   5(0(3(4(3(1(5(5(1(3(4(0(5(3(1(2(5(3(5(0(x1)))))))))))))))))))) -> 4(1(0(0(1(5(1(5(1(2(0(1(5(3(4(4(5(5(1(4(x1))))))))))))))))))))
   5(0(4(2(1(3(5(5(0(3(5(2(0(2(2(5(3(0(0(5(x1)))))))))))))))))))) -> 3(5(5(0(3(1(5(1(0(1(3(2(0(4(3(4(5(1(4(1(x1))))))))))))))))))))
   5(0(5(0(2(0(4(3(4(2(3(4(2(1(5(4(0(1(3(5(x1)))))))))))))))))))) -> 5(0(3(0(5(4(2(0(3(5(1(5(4(3(0(0(0(1(5(5(x1))))))))))))))))))))
   5(1(2(1(3(0(3(5(5(2(2(3(3(1(5(2(0(0(5(3(x1)))))))))))))))))))) -> 2(0(0(1(2(4(1(3(0(0(1(5(3(4(2(4(1(2(5(0(x1))))))))))))))))))))
   5(1(3(4(2(1(5(1(1(4(5(0(2(1(0(3(2(1(0(0(x1)))))))))))))))))))) -> 0(1(5(1(4(1(5(2(0(5(5(5(1(5(1(0(0(2(0(3(x1))))))))))))))))))))
   5(1(3(5(2(5(4(4(5(1(5(5(1(0(0(1(4(3(1(2(x1)))))))))))))))))))) -> 5(0(5(5(1(5(0(3(2(3(4(5(2(1(0(0(0(1(3(5(x1))))))))))))))))))))
   5(2(0(3(4(2(0(0(1(0(1(2(2(3(1(1(2(4(5(0(x1)))))))))))))))))))) -> 1(3(2(1(5(4(1(3(3(0(3(4(1(4(5(0(1(5(0(5(x1))))))))))))))))))))
   5(2(0(5(0(5(5(5(5(2(2(2(5(1(2(0(5(5(4(5(x1)))))))))))))))))))) -> 5(1(2(3(0(1(0(4(2(1(5(0(1(0(1(5(5(5(2(3(x1))))))))))))))))))))
   5(2(3(4(3(2(0(1(1(2(3(1(5(1(1(4(1(4(4(3(x1)))))))))))))))))))) -> 5(1(0(4(3(0(1(0(1(0(2(3(4(2(2(5(5(1(0(4(x1))))))))))))))))))))
   5(3(3(2(0(3(4(3(2(5(0(2(5(0(3(0(5(1(5(5(x1)))))))))))))))))))) -> 3(1(2(3(0(1(5(1(1(5(5(1(0(0(3(5(2(1(2(1(x1))))))))))))))))))))
   5(3(4(3(2(0(1(5(1(1(1(4(3(5(5(4(5(5(2(3(x1)))))))))))))))))))) -> 5(1(4(4(3(2(5(5(2(5(1(4(1(1(3(3(0(5(3(1(x1))))))))))))))))))))
   5(4(4(3(0(5(1(3(1(0(1(1(3(0(3(5(2(0(4(2(x1)))))))))))))))))))) -> 4(0(5(0(3(4(3(1(1(2(2(0(2(0(2(1(1(4(0(5(x1))))))))))))))))))))
   5(5(0(2(0(5(3(1(2(3(2(2(2(0(4(5(4(0(3(5(x1)))))))))))))))))))) -> 1(0(4(0(2(4(3(5(5(3(1(0(2(0(3(1(2(4(5(5(x1))))))))))))))))))))
   5(5(1(1(1(3(3(5(2(4(1(1(1(1(3(3(0(5(4(4(x1)))))))))))))))))))) -> 0(5(2(1(1(1(1(4(0(5(4(3(3(5(0(4(2(1(3(0(x1))))))))))))))))))))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(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: INNERMOST
----------------------------------------

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

(16)
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:

   4(c_3(c_4(c_1(c_3(c_1(c_4(c_4(c_1(c_4(c_0(c_1(c_3(c_4(c_5(c_4(c_2(c_2(c_5(c_1(x1)))))))))))))))))))) -> 3(4(3(3(5(3(3(2(1(2(0(4(0(3(5(1(1(0(2(0(x1))))))))))))))))))))
   3(c_1(c_3(c_0(c_1(c_4(c_1(c_3(c_4(c_0(c_2(c_1(c_1(c_4(c_5(c_4(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 4(5(1(0(4(1(5(1(0(4(5(5(1(3(0(4(5(5(1(0(x1))))))))))))))))))))
   5(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x1)))))))))))))))))))) -> 0(1(0(2(3(2(0(5(1(1(2(0(1(3(4(1(4(5(4(5(x1))))))))))))))))))))
   3(c_5(c_0(c_1(c_5(c_0(c_3(c_3(c_2(c_3(c_5(c_3(c_2(c_1(c_4(c_1(c_3(c_3(c_1(c_0(x1)))))))))))))))))))) -> 5(5(0(2(0(5(1(4(5(5(1(1(2(1(3(1(5(4(0(4(x1))))))))))))))))))))
   5(c_0(c_4(c_2(c_1(c_3(c_5(c_5(c_0(c_3(c_5(c_2(c_0(c_2(c_2(c_5(c_3(c_0(c_0(c_5(x1)))))))))))))))))))) -> 3(5(5(0(3(1(5(1(0(1(3(2(0(4(3(4(5(1(4(1(x1))))))))))))))))))))
   0(c_4(c_0(c_3(c_1(c_3(c_5(c_5(c_0(c_0(c_5(c_0(c_0(c_3(c_0(c_4(c_0(c_0(c_5(c_4(x1)))))))))))))))))))) -> 5(5(1(2(5(1(1(0(0(2(4(0(2(0(5(0(5(0(2(0(x1))))))))))))))))))))
   0(c_1(c_2(c_2(c_3(c_2(c_1(c_5(c_0(c_3(c_1(c_1(c_4(c_1(c_3(c_5(c_1(c_4(c_5(c_4(x1)))))))))))))))))))) -> 1(1(1(4(3(1(2(5(1(2(1(2(0(0(3(3(0(2(0(3(x1))))))))))))))))))))
   0(c_0(c_0(c_0(c_1(c_2(c_3(c_2(c_4(c_2(c_0(c_4(c_3(c_2(c_2(c_3(c_1(c_0(c_5(c_0(x1)))))))))))))))))))) -> 3(5(5(4(2(0(1(0(0(0(4(0(3(2(2(5(1(2(1(1(x1))))))))))))))))))))
   1(c_0(c_3(c_0(c_0(c_4(c_5(c_0(c_2(c_3(c_2(c_0(c_5(c_5(c_1(c_2(c_0(c_5(c_5(c_4(x1)))))))))))))))))))) -> 0(2(5(1(2(1(0(4(0(3(0(5(1(5(0(4(2(3(2(0(x1))))))))))))))))))))
   2(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_2(c_0(c_1(c_4(c_3(c_5(c_0(c_4(c_3(c_1(c_2(c_2(x1)))))))))))))))))))) -> 1(0(4(2(0(0(5(1(0(5(5(0(3(0(0(1(0(2(5(0(x1))))))))))))))))))))
   1(c_0(c_4(c_4(c_1(c_1(c_3(c_2(c_3(c_2(c_4(c_5(c_4(c_5(c_0(c_1(c_5(c_5(c_4(c_1(x1)))))))))))))))))))) -> 1(0(2(0(3(5(0(5(1(5(4(0(0(0(1(0(2(4(2(3(x1))))))))))))))))))))
   0(c_1(c_0(c_3(c_2(c_2(c_2(c_4(c_2(c_5(c_0(c_4(c_4(c_4(c_1(c_3(c_0(c_3(c_3(c_5(x1)))))))))))))))))))) -> 5(0(4(5(3(2(5(0(5(5(0(0(3(0(5(1(2(3(5(1(x1))))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_4(c_5(c_3(c_2(c_0(c_4(c_4(c_1(c_1(c_4(c_3(c_0(c_4(c_5(c_2(x1)))))))))))))))))))) -> 1(0(0(5(0(4(3(0(0(3(4(3(1(2(3(2(5(1(0(3(x1))))))))))))))))))))
   1(c_5(c_3(c_0(c_4(c_0(c_2(c_5(c_4(c_5(c_2(c_0(c_3(c_2(c_0(c_5(c_0(c_3(c_4(c_3(x1)))))))))))))))))))) -> 5(5(0(2(0(1(2(3(0(1(5(3(2(2(5(1(5(3(4(4(x1))))))))))))))))))))
   0(c_5(c_3(c_5(c_0(c_0(c_2(c_0(c_3(c_3(c_0(c_4(c_4(c_1(c_4(c_0(c_5(c_0(c_5(c_0(x1)))))))))))))))))))) -> 4(3(3(4(0(5(3(2(0(3(1(1(5(1(1(3(1(0(1(1(x1))))))))))))))))))))
   5(c_0(c_3(c_4(c_3(c_1(c_5(c_5(c_1(c_3(c_4(c_0(c_5(c_3(c_1(c_2(c_5(c_3(c_5(c_0(x1)))))))))))))))))))) -> 4(1(0(0(1(5(1(5(1(2(0(1(5(3(4(4(5(5(1(4(x1))))))))))))))))))))
   1(c_2(c_0(c_5(c_2(c_3(c_3(c_0(c_2(c_4(c_5(c_1(c_5(c_4(c_2(c_4(c_1(c_4(c_1(c_3(x1)))))))))))))))))))) -> 2(3(3(3(1(5(1(3(5(1(1(5(2(3(3(5(0(2(0(1(x1))))))))))))))))))))
   0(c_4(c_5(c_5(c_5(c_3(c_3(c_1(c_0(c_4(c_3(c_4(c_5(c_0(c_2(c_4(c_5(c_3(c_0(c_5(x1)))))))))))))))))))) -> 3(3(2(5(5(0(3(1(3(3(4(5(1(0(1(3(3(1(2(1(x1))))))))))))))))))))
   1(c_0(c_3(c_3(c_1(c_4(c_0(c_0(c_4(c_3(c_3(c_0(c_4(c_2(c_3(c_5(c_5(c_0(c_3(c_5(x1)))))))))))))))))))) -> 5(5(2(1(1(0(0(2(5(5(5(1(1(1(0(4(1(3(2(5(x1))))))))))))))))))))
   0(c_0(c_1(c_0(c_4(c_5(c_0(c_0(c_3(c_4(c_1(c_5(c_0(c_2(c_3(c_2(c_4(c_0(c_0(c_1(x1)))))))))))))))))))) -> 1(5(0(1(1(0(3(5(1(4(5(5(0(2(1(5(2(3(3(0(x1))))))))))))))))))))
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   3(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_4(c_5(c_2(c_5(c_5(c_3(c_1(c_2(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3(4(4(0(5(1(1(2(0(4(3(0(1(1(0(0(1(0(4(2(x1))))))))))))))))))))
   2(c_1(c_0(c_2(c_5(c_1(c_1(c_0(c_1(c_4(c_3(c_3(c_3(c_1(c_0(c_4(c_3(c_0(c_5(c_2(x1)))))))))))))))))))) -> 1(3(4(5(1(5(1(4(0(5(0(2(0(0(0(3(0(2(1(5(x1))))))))))))))))))))
   1(c_1(c_5(c_4(c_4(c_1(c_2(c_2(c_5(c_5(c_0(c_3(c_5(c_2(c_5(c_3(c_0(c_4(c_1(c_5(x1)))))))))))))))))))) -> 4(2(1(0(4(1(1(1(4(0(0(3(0(1(5(0(1(5(1(0(x1))))))))))))))))))))
   3(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(x1)))))))))))))))))))) -> 4(1(3(3(0(1(5(4(5(2(4(3(3(5(3(1(3(4(0(5(x1))))))))))))))))))))
   3(c_5(c_5(c_5(c_3(c_0(c_1(c_4(c_0(c_3(c_3(c_3(c_0(c_5(c_1(c_0(c_1(c_1(c_5(c_4(x1)))))))))))))))))))) -> 4(1(1(2(2(3(1(3(1(1(3(3(5(1(0(1(5(0(2(5(x1))))))))))))))))))))
   5(c_3(c_4(c_3(c_2(c_0(c_1(c_5(c_1(c_1(c_1(c_4(c_3(c_5(c_5(c_4(c_5(c_5(c_2(c_3(x1)))))))))))))))))))) -> 5(1(4(4(3(2(5(5(2(5(1(4(1(1(3(3(0(5(3(1(x1))))))))))))))))))))
   1(c_1(c_0(c_4(c_1(c_2(c_0(c_5(c_1(c_3(c_0(c_1(c_4(c_0(c_0(c_0(c_5(c_4(c_3(c_2(x1)))))))))))))))))))) -> 5(5(1(4(1(0(1(0(1(2(3(1(3(0(0(5(1(3(1(3(x1))))))))))))))))))))
   0(c_3(c_3(c_1(c_4(c_2(c_5(c_3(c_2(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_5(c_3(x1)))))))))))))))))))) -> 3(4(1(0(4(5(1(4(0(4(1(2(2(0(3(1(1(0(5(3(x1))))))))))))))))))))
   3(c_0(c_0(c_0(c_0(c_3(c_4(c_1(c_2(c_0(c_3(c_2(c_4(c_3(c_4(c_4(c_0(c_4(c_4(c_1(x1)))))))))))))))))))) -> 1(1(4(4(0(2(1(4(0(2(0(4(5(1(3(3(0(5(5(4(x1))))))))))))))))))))
   5(c_0(c_1(c_3(c_2(c_1(c_1(c_4(c_4(c_3(c_4(c_3(c_1(c_5(c_5(c_1(c_2(c_2(c_4(c_5(x1)))))))))))))))))))) -> 3(1(1(2(0(1(2(1(0(3(1(1(4(5(3(5(1(1(5(1(x1))))))))))))))))))))
   3(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_4(c_2(c_1(c_1(c_2(c_4(c_5(c_0(c_3(c_4(x1)))))))))))))))))))) -> 2(2(0(0(1(5(2(5(0(0(5(1(1(0(1(2(2(5(0(4(x1))))))))))))))))))))
   0(c_0(c_4(c_3(c_1(c_0(c_3(c_3(c_2(c_1(c_4(c_2(c_4(c_3(c_1(c_2(c_1(c_3(c_5(c_1(x1)))))))))))))))))))) -> 1(3(4(5(0(1(1(3(5(3(4(2(1(2(0(2(5(0(4(1(x1))))))))))))))))))))
   2(c_5(c_3(c_2(c_4(c_2(c_0(c_2(c_5(c_2(c_1(c_2(c_0(c_5(c_1(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 1(1(5(4(5(1(2(5(4(5(4(0(5(2(5(2(0(3(1(4(x1))))))))))))))))))))
   5(c_1(c_2(c_1(c_3(c_0(c_3(c_5(c_5(c_2(c_2(c_3(c_3(c_1(c_5(c_2(c_0(c_0(c_5(c_3(x1)))))))))))))))))))) -> 2(0(0(1(2(4(1(3(0(0(1(5(3(4(2(4(1(2(5(0(x1))))))))))))))))))))
   1(c_0(c_3(c_1(c_0(c_5(c_3(c_3(c_5(c_1(c_2(c_4(c_5(c_4(c_1(c_4(c_4(c_4(c_3(c_5(x1)))))))))))))))))))) -> 5(1(1(4(1(5(5(1(4(1(1(4(3(2(1(4(4(1(3(5(x1))))))))))))))))))))
   0(c_1(c_1(c_5(c_4(c_4(c_2(c_1(c_1(c_2(c_2(c_3(c_4(c_4(c_0(c_5(c_0(c_4(c_2(c_2(x1)))))))))))))))))))) -> 2(4(2(4(5(2(1(0(1(4(4(5(0(2(1(5(5(1(1(3(x1))))))))))))))))))))
   4(c_1(c_2(c_2(c_3(c_0(c_1(c_1(c_2(c_1(c_5(c_4(c_4(c_1(c_4(c_2(c_1(c_2(c_5(c_2(x1)))))))))))))))))))) -> 5(5(5(1(1(0(4(1(1(1(2(2(4(5(2(2(0(5(5(0(x1))))))))))))))))))))
   4(c_3(c_1(c_4(c_1(c_1(c_1(c_1(c_3(c_3(c_0(c_0(c_5(c_5(c_0(c_2(c_5(c_3(c_1(c_1(x1)))))))))))))))))))) -> 0(0(1(3(3(3(1(3(4(2(1(5(1(1(4(1(1(0(3(1(x1))))))))))))))))))))
   5(c_2(c_3(c_4(c_3(c_2(c_0(c_1(c_1(c_2(c_3(c_1(c_5(c_1(c_1(c_4(c_1(c_4(c_4(c_3(x1)))))))))))))))))))) -> 5(1(0(4(3(0(1(0(1(0(2(3(4(2(2(5(5(1(0(4(x1))))))))))))))))))))
   5(c_1(c_3(c_4(c_2(c_1(c_5(c_1(c_1(c_4(c_5(c_0(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(1(5(1(4(1(5(2(0(5(5(5(1(5(1(0(0(2(0(3(x1))))))))))))))))))))
   3(c_3(c_4(c_2(c_2(c_5(c_1(c_4(c_1(c_1(c_1(c_2(c_4(c_1(c_4(c_3(c_0(c_4(c_1(c_5(x1)))))))))))))))))))) -> 3(0(5(1(3(3(1(4(1(3(1(2(3(5(3(3(1(4(4(5(x1))))))))))))))))))))
   5(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(x1)))))))))))))))))))) -> 1(0(4(0(2(4(3(5(5(3(1(0(2(0(3(1(2(4(5(5(x1))))))))))))))))))))
   1(c_1(c_3(c_3(c_5(c_0(c_3(c_2(c_5(c_0(c_4(c_0(c_0(c_1(c_5(c_4(c_3(c_1(c_2(c_2(x1)))))))))))))))))))) -> 5(1(5(4(1(1(0(1(4(2(2(5(1(2(5(5(1(3(5(1(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_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_3(x_1)) -> 3(encArg(x_1))
   encArg(cons_4(x_1)) -> 4(encArg(x_1))
   encArg(cons_5(x_1)) -> 5(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
----------------------------------------

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

(18)
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:

   4(c_3(c_4(c_1(c_3(c_1(c_4(c_4(c_1(c_4(c_0(c_1(c_3(c_4(c_5(c_4(c_2(c_2(c_5(c_1(x1)))))))))))))))))))) -> 3(4(3(3(5(3(3(2(1(2(0(4(0(3(5(1(1(0(2(0(x1)))))))))))))))))))) [1]
   3(c_1(c_3(c_0(c_1(c_4(c_1(c_3(c_4(c_0(c_2(c_1(c_1(c_4(c_5(c_4(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 4(5(1(0(4(1(5(1(0(4(5(5(1(3(0(4(5(5(1(0(x1)))))))))))))))))))) [1]
   5(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x1)))))))))))))))))))) -> 0(1(0(2(3(2(0(5(1(1(2(0(1(3(4(1(4(5(4(5(x1)))))))))))))))))))) [1]
   3(c_5(c_0(c_1(c_5(c_0(c_3(c_3(c_2(c_3(c_5(c_3(c_2(c_1(c_4(c_1(c_3(c_3(c_1(c_0(x1)))))))))))))))))))) -> 5(5(0(2(0(5(1(4(5(5(1(1(2(1(3(1(5(4(0(4(x1)))))))))))))))))))) [1]
   5(c_0(c_4(c_2(c_1(c_3(c_5(c_5(c_0(c_3(c_5(c_2(c_0(c_2(c_2(c_5(c_3(c_0(c_0(c_5(x1)))))))))))))))))))) -> 3(5(5(0(3(1(5(1(0(1(3(2(0(4(3(4(5(1(4(1(x1)))))))))))))))))))) [1]
   0(c_4(c_0(c_3(c_1(c_3(c_5(c_5(c_0(c_0(c_5(c_0(c_0(c_3(c_0(c_4(c_0(c_0(c_5(c_4(x1)))))))))))))))))))) -> 5(5(1(2(5(1(1(0(0(2(4(0(2(0(5(0(5(0(2(0(x1)))))))))))))))))))) [1]
   0(c_1(c_2(c_2(c_3(c_2(c_1(c_5(c_0(c_3(c_1(c_1(c_4(c_1(c_3(c_5(c_1(c_4(c_5(c_4(x1)))))))))))))))))))) -> 1(1(1(4(3(1(2(5(1(2(1(2(0(0(3(3(0(2(0(3(x1)))))))))))))))))))) [1]
   0(c_0(c_0(c_0(c_1(c_2(c_3(c_2(c_4(c_2(c_0(c_4(c_3(c_2(c_2(c_3(c_1(c_0(c_5(c_0(x1)))))))))))))))))))) -> 3(5(5(4(2(0(1(0(0(0(4(0(3(2(2(5(1(2(1(1(x1)))))))))))))))))))) [1]
   1(c_0(c_3(c_0(c_0(c_4(c_5(c_0(c_2(c_3(c_2(c_0(c_5(c_5(c_1(c_2(c_0(c_5(c_5(c_4(x1)))))))))))))))))))) -> 0(2(5(1(2(1(0(4(0(3(0(5(1(5(0(4(2(3(2(0(x1)))))))))))))))))))) [1]
   2(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_2(c_0(c_1(c_4(c_3(c_5(c_0(c_4(c_3(c_1(c_2(c_2(x1)))))))))))))))))))) -> 1(0(4(2(0(0(5(1(0(5(5(0(3(0(0(1(0(2(5(0(x1)))))))))))))))))))) [1]
   1(c_0(c_4(c_4(c_1(c_1(c_3(c_2(c_3(c_2(c_4(c_5(c_4(c_5(c_0(c_1(c_5(c_5(c_4(c_1(x1)))))))))))))))))))) -> 1(0(2(0(3(5(0(5(1(5(4(0(0(0(1(0(2(4(2(3(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_3(c_2(c_2(c_2(c_4(c_2(c_5(c_0(c_4(c_4(c_4(c_1(c_3(c_0(c_3(c_3(c_5(x1)))))))))))))))))))) -> 5(0(4(5(3(2(5(0(5(5(0(0(3(0(5(1(2(3(5(1(x1)))))))))))))))))))) [1]
   1(c_0(c_3(c_3(c_1(c_4(c_5(c_3(c_2(c_0(c_4(c_4(c_1(c_1(c_4(c_3(c_0(c_4(c_5(c_2(x1)))))))))))))))))))) -> 1(0(0(5(0(4(3(0(0(3(4(3(1(2(3(2(5(1(0(3(x1)))))))))))))))))))) [1]
   1(c_5(c_3(c_0(c_4(c_0(c_2(c_5(c_4(c_5(c_2(c_0(c_3(c_2(c_0(c_5(c_0(c_3(c_4(c_3(x1)))))))))))))))))))) -> 5(5(0(2(0(1(2(3(0(1(5(3(2(2(5(1(5(3(4(4(x1)))))))))))))))))))) [1]
   0(c_5(c_3(c_5(c_0(c_0(c_2(c_0(c_3(c_3(c_0(c_4(c_4(c_1(c_4(c_0(c_5(c_0(c_5(c_0(x1)))))))))))))))))))) -> 4(3(3(4(0(5(3(2(0(3(1(1(5(1(1(3(1(0(1(1(x1)))))))))))))))))))) [1]
   5(c_0(c_3(c_4(c_3(c_1(c_5(c_5(c_1(c_3(c_4(c_0(c_5(c_3(c_1(c_2(c_5(c_3(c_5(c_0(x1)))))))))))))))))))) -> 4(1(0(0(1(5(1(5(1(2(0(1(5(3(4(4(5(5(1(4(x1)))))))))))))))))))) [1]
   1(c_2(c_0(c_5(c_2(c_3(c_3(c_0(c_2(c_4(c_5(c_1(c_5(c_4(c_2(c_4(c_1(c_4(c_1(c_3(x1)))))))))))))))))))) -> 2(3(3(3(1(5(1(3(5(1(1(5(2(3(3(5(0(2(0(1(x1)))))))))))))))))))) [1]
   0(c_4(c_5(c_5(c_5(c_3(c_3(c_1(c_0(c_4(c_3(c_4(c_5(c_0(c_2(c_4(c_5(c_3(c_0(c_5(x1)))))))))))))))))))) -> 3(3(2(5(5(0(3(1(3(3(4(5(1(0(1(3(3(1(2(1(x1)))))))))))))))))))) [1]
   1(c_0(c_3(c_3(c_1(c_4(c_0(c_0(c_4(c_3(c_3(c_0(c_4(c_2(c_3(c_5(c_5(c_0(c_3(c_5(x1)))))))))))))))))))) -> 5(5(2(1(1(0(0(2(5(5(5(1(1(1(0(4(1(3(2(5(x1)))))))))))))))))))) [1]
   0(c_0(c_1(c_0(c_4(c_5(c_0(c_0(c_3(c_4(c_1(c_5(c_0(c_2(c_3(c_2(c_4(c_0(c_0(c_1(x1)))))))))))))))))))) -> 1(5(0(1(1(0(3(5(1(4(5(5(0(2(1(5(2(3(3(0(x1)))))))))))))))))))) [1]
   4(c_0(c_3(c_4(c_3(c_0(c_5(c_0(c_3(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_4(c_0(c_5(x1)))))))))))))))))))) -> 0(1(4(4(3(1(1(3(4(4(0(1(3(4(5(0(1(1(0(5(x1)))))))))))))))))))) [1]
   5(c_2(c_0(c_3(c_4(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_4(c_5(c_0(x1)))))))))))))))))))) -> 1(3(2(1(5(4(1(3(3(0(3(4(1(4(5(0(1(5(0(5(x1)))))))))))))))))))) [1]
   3(c_3(c_4(c_5(c_3(c_0(c_5(c_0(c_1(c_3(c_2(c_2(c_5(c_0(c_3(c_3(c_2(c_2(c_0(c_5(x1)))))))))))))))))))) -> 0(3(1(4(0(1(3(5(3(3(1(1(5(2(1(4(5(0(3(4(x1)))))))))))))))))))) [1]
   5(c_1(c_3(c_5(c_2(c_5(c_4(c_4(c_5(c_1(c_5(c_5(c_1(c_0(c_0(c_1(c_4(c_3(c_1(c_2(x1)))))))))))))))))))) -> 5(0(5(5(1(5(0(3(2(3(4(5(2(1(0(0(0(1(3(5(x1)))))))))))))))))))) [1]
   4(c_5(c_1(c_4(c_3(c_1(c_1(c_2(c_0(c_0(c_4(c_2(c_4(c_1(c_1(c_0(c_5(c_4(c_3(c_3(x1)))))))))))))))))))) -> 1(3(1(1(4(3(1(2(1(5(2(2(3(3(3(1(1(0(3(4(x1)))))))))))))))))))) [1]
   3(c_4(c_2(c_4(c_1(c_1(c_1(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_1(c_4(c_3(c_2(c_0(x1)))))))))))))))))))) -> 5(3(4(2(1(1(0(2(0(0(1(2(5(2(0(1(3(5(0(4(x1)))))))))))))))))))) [1]
   5(c_5(c_1(c_1(c_1(c_3(c_3(c_5(c_2(c_4(c_1(c_1(c_1(c_1(c_3(c_3(c_0(c_5(c_4(c_4(x1)))))))))))))))))))) -> 0(5(2(1(1(1(1(4(0(5(4(3(3(5(0(4(2(1(3(0(x1)))))))))))))))))))) [1]
   3(c_5(c_4(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(c_1(c_4(c_3(c_0(x1)))))))))))))))))))) -> 2(5(2(1(1(1(1(1(4(1(1(3(2(1(5(0(5(0(0(2(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_3(c_4(c_5(c_5(c_2(c_0(c_5(c_3(c_3(c_3(c_0(c_2(c_0(c_5(c_0(c_4(c_0(x1)))))))))))))))))))) -> 1(1(0(5(1(1(5(3(2(5(3(4(4(1(1(3(4(2(1(5(x1)))))))))))))))))))) [1]
   3(c_1(c_4(c_2(c_3(c_2(c_0(c_5(c_0(c_3(c_1(c_0(c_1(c_2(c_3(c_5(c_4(c_0(c_1(c_4(x1)))))))))))))))))))) -> 2(4(1(2(1(5(0(0(5(3(2(4(5(0(2(3(0(1(1(1(x1)))))))))))))))))))) [1]
   5(c_3(c_3(c_2(c_0(c_3(c_4(c_3(c_2(c_5(c_0(c_2(c_5(c_0(c_3(c_0(c_5(c_1(c_5(c_5(x1)))))))))))))))))))) -> 3(1(2(3(0(1(5(1(1(5(5(1(0(0(3(5(2(1(2(1(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_4(c_1(c_1(c_4(c_0(c_0(c_1(c_2(c_1(c_1(c_3(c_3(c_2(c_5(c_3(c_4(c_4(x1)))))))))))))))))))) -> 5(0(0(3(5(0(2(0(1(5(0(4(1(3(1(5(1(3(5(3(x1)))))))))))))))))))) [1]
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   1(c_1(c_4(c_5(c_1(c_1(c_2(c_5(c_1(c_2(c_0(c_1(c_1(c_4(c_2(c_0(c_5(c_4(c_4(c_4(x1)))))))))))))))))))) -> 5(5(0(1(4(5(1(1(3(2(5(5(0(3(2(0(1(2(4(0(x1)))))))))))))))))))) [1]
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   0(c_5(c_4(c_3(c_5(c_3(c_3(c_5(c_5(c_5(c_1(c_0(c_4(c_4(c_3(c_1(c_2(c_5(c_0(c_3(x1)))))))))))))))))))) -> 5(0(3(4(2(4(3(2(5(1(1(4(1(1(2(3(5(1(3(0(x1)))))))))))))))))))) [1]
   1(c_1(c_3(c_5(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_5(c_4(c_2(c_0(c_1(c_2(c_4(c_5(c_4(x1)))))))))))))))))))) -> 1(5(0(3(2(1(4(5(1(0(5(3(5(1(2(3(1(3(1(1(x1)))))))))))))))))))) [1]
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   0(c_5(c_1(c_2(c_3(c_3(c_2(c_4(c_1(c_2(c_1(c_0(c_0(c_4(c_3(c_5(c_0(c_1(c_2(c_2(x1)))))))))))))))))))) -> 3(2(2(1(5(3(5(0(3(5(1(5(0(0(4(1(4(3(5(0(x1)))))))))))))))))))) [1]
   1(c_1(c_2(c_2(c_4(c_4(c_2(c_1(c_3(c_3(c_1(c_1(c_3(c_3(c_1(c_5(c_0(c_5(c_1(c_3(x1)))))))))))))))))))) -> 1(1(0(1(4(3(1(3(2(0(1(5(0(5(5(4(4(4(5(0(x1)))))))))))))))))))) [1]
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   1(c_0(c_0(c_5(c_2(c_3(c_1(c_0(c_1(c_4(c_3(c_0(c_1(c_2(c_0(c_2(c_1(c_4(c_4(c_2(x1)))))))))))))))))))) -> 1(3(0(5(2(2(5(3(2(1(4(0(5(1(3(3(5(0(5(1(x1)))))))))))))))))))) [1]
   3(c_4(c_2(c_5(c_5(c_0(c_3(c_0(c_0(c_0(c_3(c_4(c_1(c_1(c_0(c_1(c_1(c_5(c_3(c_1(x1)))))))))))))))))))) -> 3(5(5(2(0(0(0(5(0(0(0(5(5(1(0(5(0(0(0(1(x1)))))))))))))))))))) [1]
   4(c_5(c_5(c_3(c_3(c_0(c_2(c_4(c_0(c_4(c_3(c_5(c_0(c_4(c_0(c_4(c_0(c_0(c_0(c_4(x1)))))))))))))))))))) -> 3(2(1(4(4(0(2(1(1(0(1(1(5(2(2(5(5(0(0(2(x1)))))))))))))))))))) [1]
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   1(c_4(c_3(c_3(c_0(c_5(c_0(c_5(c_4(c_2(c_1(c_2(c_5(c_0(c_3(c_2(c_1(c_0(c_1(c_4(x1)))))))))))))))))))) -> 1(1(3(3(5(4(3(2(1(4(1(5(3(1(4(1(1(4(5(1(x1)))))))))))))))))))) [1]
   1(c_1(c_5(c_5(c_5(c_4(c_2(c_5(c_5(c_0(c_0(c_0(c_5(c_3(c_0(c_4(c_0(c_4(c_2(c_1(x1)))))))))))))))))))) -> 1(2(4(1(2(0(0(5(5(1(4(3(3(0(1(0(0(4(3(2(x1)))))))))))))))))))) [1]
   0(c_2(c_3(c_4(c_0(c_0(c_1(c_1(c_5(c_3(c_0(c_4(c_5(c_0(c_0(c_0(c_1(c_5(c_2(c_1(x1)))))))))))))))))))) -> 0(0(4(5(5(1(3(5(5(1(1(1(2(5(4(1(1(0(5(4(x1)))))))))))))))))))) [1]
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   5(c_4(c_4(c_3(c_0(c_5(c_1(c_3(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_5(c_2(c_0(c_4(c_2(x1)))))))))))))))))))) -> 4(0(5(0(3(4(3(1(1(2(2(0(2(0(2(1(1(4(0(5(x1)))))))))))))))))))) [1]
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   1(c_5(c_1(c_5(c_1(c_4(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1(1(3(2(5(1(0(0(0(1(4(1(5(0(1(5(5(0(0(0(x1)))))))))))))))))))) [1]
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   4(c_4(c_3(c_2(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_0(c_3(c_5(c_1(c_0(c_5(c_5(c_3(c_5(x1)))))))))))))))))))) -> 3(2(1(5(1(3(0(1(1(0(1(5(1(1(4(1(5(5(4(1(x1)))))))))))))))))))) [1]
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   1(c_1(c_5(c_4(c_4(c_1(c_2(c_2(c_5(c_5(c_0(c_3(c_5(c_2(c_5(c_3(c_0(c_4(c_1(c_5(x1)))))))))))))))))))) -> 4(2(1(0(4(1(1(1(4(0(0(3(0(1(5(0(1(5(1(0(x1)))))))))))))))))))) [1]
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   5(c_3(c_4(c_3(c_2(c_0(c_1(c_5(c_1(c_1(c_1(c_4(c_3(c_5(c_5(c_4(c_5(c_5(c_2(c_3(x1)))))))))))))))))))) -> 5(1(4(4(3(2(5(5(2(5(1(4(1(1(3(3(0(5(3(1(x1)))))))))))))))))))) [1]
   1(c_1(c_0(c_4(c_1(c_2(c_0(c_5(c_1(c_3(c_0(c_1(c_4(c_0(c_0(c_0(c_5(c_4(c_3(c_2(x1)))))))))))))))))))) -> 5(5(1(4(1(0(1(0(1(2(3(1(3(0(0(5(1(3(1(3(x1)))))))))))))))))))) [1]
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   3(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_4(c_2(c_1(c_1(c_2(c_4(c_5(c_0(c_3(c_4(x1)))))))))))))))))))) -> 2(2(0(0(1(5(2(5(0(0(5(1(1(0(1(2(2(5(0(4(x1)))))))))))))))))))) [1]
   0(c_0(c_4(c_3(c_1(c_0(c_3(c_3(c_2(c_1(c_4(c_2(c_4(c_3(c_1(c_2(c_1(c_3(c_5(c_1(x1)))))))))))))))))))) -> 1(3(4(5(0(1(1(3(5(3(4(2(1(2(0(2(5(0(4(1(x1)))))))))))))))))))) [1]
   2(c_5(c_3(c_2(c_4(c_2(c_0(c_2(c_5(c_2(c_1(c_2(c_0(c_5(c_1(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 1(1(5(4(5(1(2(5(4(5(4(0(5(2(5(2(0(3(1(4(x1)))))))))))))))))))) [1]
   5(c_1(c_2(c_1(c_3(c_0(c_3(c_5(c_5(c_2(c_2(c_3(c_3(c_1(c_5(c_2(c_0(c_0(c_5(c_3(x1)))))))))))))))))))) -> 2(0(0(1(2(4(1(3(0(0(1(5(3(4(2(4(1(2(5(0(x1)))))))))))))))))))) [1]
   1(c_0(c_3(c_1(c_0(c_5(c_3(c_3(c_5(c_1(c_2(c_4(c_5(c_4(c_1(c_4(c_4(c_4(c_3(c_5(x1)))))))))))))))))))) -> 5(1(1(4(1(5(5(1(4(1(1(4(3(2(1(4(4(1(3(5(x1)))))))))))))))))))) [1]
   0(c_1(c_1(c_5(c_4(c_4(c_2(c_1(c_1(c_2(c_2(c_3(c_4(c_4(c_0(c_5(c_0(c_4(c_2(c_2(x1)))))))))))))))))))) -> 2(4(2(4(5(2(1(0(1(4(4(5(0(2(1(5(5(1(1(3(x1)))))))))))))))))))) [1]
   4(c_1(c_2(c_2(c_3(c_0(c_1(c_1(c_2(c_1(c_5(c_4(c_4(c_1(c_4(c_2(c_1(c_2(c_5(c_2(x1)))))))))))))))))))) -> 5(5(5(1(1(0(4(1(1(1(2(2(4(5(2(2(0(5(5(0(x1)))))))))))))))))))) [1]
   4(c_3(c_1(c_4(c_1(c_1(c_1(c_1(c_3(c_3(c_0(c_0(c_5(c_5(c_0(c_2(c_5(c_3(c_1(c_1(x1)))))))))))))))))))) -> 0(0(1(3(3(3(1(3(4(2(1(5(1(1(4(1(1(0(3(1(x1)))))))))))))))))))) [1]
   5(c_2(c_3(c_4(c_3(c_2(c_0(c_1(c_1(c_2(c_3(c_1(c_5(c_1(c_1(c_4(c_1(c_4(c_4(c_3(x1)))))))))))))))))))) -> 5(1(0(4(3(0(1(0(1(0(2(3(4(2(2(5(5(1(0(4(x1)))))))))))))))))))) [1]
   5(c_1(c_3(c_4(c_2(c_1(c_5(c_1(c_1(c_4(c_5(c_0(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0(1(5(1(4(1(5(2(0(5(5(5(1(5(1(0(0(2(0(3(x1)))))))))))))))))))) [1]
   3(c_3(c_4(c_2(c_2(c_5(c_1(c_4(c_1(c_1(c_1(c_2(c_4(c_1(c_4(c_3(c_0(c_4(c_1(c_5(x1)))))))))))))))))))) -> 3(0(5(1(3(3(1(4(1(3(1(2(3(5(3(3(1(4(4(5(x1)))))))))))))))))))) [1]
   5(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(x1)))))))))))))))))))) -> 1(0(4(0(2(4(3(5(5(3(1(0(2(0(3(1(2(4(5(5(x1)))))))))))))))))))) [1]
   1(c_1(c_3(c_3(c_5(c_0(c_3(c_2(c_5(c_0(c_4(c_0(c_0(c_1(c_5(c_4(c_3(c_1(c_2(c_2(x1)))))))))))))))))))) -> 5(1(5(4(1(1(0(1(4(2(2(5(1(2(5(5(1(3(5(1(x1)))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4(encArg(x_1)) [0]
   encArg(cons_5(x_1)) -> 5(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
----------------------------------------

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

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

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

(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:

   4'(c_3(c_4(c_1(c_3(c_1(c_4(c_4(c_1(c_4(c_0(c_1(c_3(c_4(c_5(c_4(c_2(c_2(c_5(c_1(x1)))))))))))))))))))) -> 3'(4'(3'(3'(5'(3'(3'(2'(1'(2'(0'(4'(0'(3'(5'(1'(1'(0'(2'(0'(x1)))))))))))))))))))) [1]
   3'(c_1(c_3(c_0(c_1(c_4(c_1(c_3(c_4(c_0(c_2(c_1(c_1(c_4(c_5(c_4(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 4'(5'(1'(0'(4'(1'(5'(1'(0'(4'(5'(5'(1'(3'(0'(4'(5'(5'(1'(0'(x1)))))))))))))))))))) [1]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x1)))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(x1)))))))))))))))))))) [1]
   3'(c_5(c_0(c_1(c_5(c_0(c_3(c_3(c_2(c_3(c_5(c_3(c_2(c_1(c_4(c_1(c_3(c_3(c_1(c_0(x1)))))))))))))))))))) -> 5'(5'(0'(2'(0'(5'(1'(4'(5'(5'(1'(1'(2'(1'(3'(1'(5'(4'(0'(4'(x1)))))))))))))))))))) [1]
   5'(c_0(c_4(c_2(c_1(c_3(c_5(c_5(c_0(c_3(c_5(c_2(c_0(c_2(c_2(c_5(c_3(c_0(c_0(c_5(x1)))))))))))))))))))) -> 3'(5'(5'(0'(3'(1'(5'(1'(0'(1'(3'(2'(0'(4'(3'(4'(5'(1'(4'(1'(x1)))))))))))))))))))) [1]
   0'(c_4(c_0(c_3(c_1(c_3(c_5(c_5(c_0(c_0(c_5(c_0(c_0(c_3(c_0(c_4(c_0(c_0(c_5(c_4(x1)))))))))))))))))))) -> 5'(5'(1'(2'(5'(1'(1'(0'(0'(2'(4'(0'(2'(0'(5'(0'(5'(0'(2'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_3(c_2(c_1(c_5(c_0(c_3(c_1(c_1(c_4(c_1(c_3(c_5(c_1(c_4(c_5(c_4(x1)))))))))))))))))))) -> 1'(1'(1'(4'(3'(1'(2'(5'(1'(2'(1'(2'(0'(0'(3'(3'(0'(2'(0'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_2(c_3(c_2(c_4(c_2(c_0(c_4(c_3(c_2(c_2(c_3(c_1(c_0(c_5(c_0(x1)))))))))))))))))))) -> 3'(5'(5'(4'(2'(0'(1'(0'(0'(0'(4'(0'(3'(2'(2'(5'(1'(2'(1'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_0(c_4(c_5(c_0(c_2(c_3(c_2(c_0(c_5(c_5(c_1(c_2(c_0(c_5(c_5(c_4(x1)))))))))))))))))))) -> 0'(2'(5'(1'(2'(1'(0'(4'(0'(3'(0'(5'(1'(5'(0'(4'(2'(3'(2'(0'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_2(c_0(c_1(c_4(c_3(c_5(c_0(c_4(c_3(c_1(c_2(c_2(x1)))))))))))))))))))) -> 1'(0'(4'(2'(0'(0'(5'(1'(0'(5'(5'(0'(3'(0'(0'(1'(0'(2'(5'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_4(c_4(c_1(c_1(c_3(c_2(c_3(c_2(c_4(c_5(c_4(c_5(c_0(c_1(c_5(c_5(c_4(c_1(x1)))))))))))))))))))) -> 1'(0'(2'(0'(3'(5'(0'(5'(1'(5'(4'(0'(0'(0'(1'(0'(2'(4'(2'(3'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_3(c_2(c_2(c_2(c_4(c_2(c_5(c_0(c_4(c_4(c_4(c_1(c_3(c_0(c_3(c_3(c_5(x1)))))))))))))))))))) -> 5'(0'(4'(5'(3'(2'(5'(0'(5'(5'(0'(0'(3'(0'(5'(1'(2'(3'(5'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_3(c_1(c_4(c_5(c_3(c_2(c_0(c_4(c_4(c_1(c_1(c_4(c_3(c_0(c_4(c_5(c_2(x1)))))))))))))))))))) -> 1'(0'(0'(5'(0'(4'(3'(0'(0'(3'(4'(3'(1'(2'(3'(2'(5'(1'(0'(3'(x1)))))))))))))))))))) [1]
   1'(c_5(c_3(c_0(c_4(c_0(c_2(c_5(c_4(c_5(c_2(c_0(c_3(c_2(c_0(c_5(c_0(c_3(c_4(c_3(x1)))))))))))))))))))) -> 5'(5'(0'(2'(0'(1'(2'(3'(0'(1'(5'(3'(2'(2'(5'(1'(5'(3'(4'(4'(x1)))))))))))))))))))) [1]
   0'(c_5(c_3(c_5(c_0(c_0(c_2(c_0(c_3(c_3(c_0(c_4(c_4(c_1(c_4(c_0(c_5(c_0(c_5(c_0(x1)))))))))))))))))))) -> 4'(3'(3'(4'(0'(5'(3'(2'(0'(3'(1'(1'(5'(1'(1'(3'(1'(0'(1'(1'(x1)))))))))))))))))))) [1]
   5'(c_0(c_3(c_4(c_3(c_1(c_5(c_5(c_1(c_3(c_4(c_0(c_5(c_3(c_1(c_2(c_5(c_3(c_5(c_0(x1)))))))))))))))))))) -> 4'(1'(0'(0'(1'(5'(1'(5'(1'(2'(0'(1'(5'(3'(4'(4'(5'(5'(1'(4'(x1)))))))))))))))))))) [1]
   1'(c_2(c_0(c_5(c_2(c_3(c_3(c_0(c_2(c_4(c_5(c_1(c_5(c_4(c_2(c_4(c_1(c_4(c_1(c_3(x1)))))))))))))))))))) -> 2'(3'(3'(3'(1'(5'(1'(3'(5'(1'(1'(5'(2'(3'(3'(5'(0'(2'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_4(c_5(c_5(c_5(c_3(c_3(c_1(c_0(c_4(c_3(c_4(c_5(c_0(c_2(c_4(c_5(c_3(c_0(c_5(x1)))))))))))))))))))) -> 3'(3'(2'(5'(5'(0'(3'(1'(3'(3'(4'(5'(1'(0'(1'(3'(3'(1'(2'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_3(c_1(c_4(c_0(c_0(c_4(c_3(c_3(c_0(c_4(c_2(c_3(c_5(c_5(c_0(c_3(c_5(x1)))))))))))))))))))) -> 5'(5'(2'(1'(1'(0'(0'(2'(5'(5'(5'(1'(1'(1'(0'(4'(1'(3'(2'(5'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_4(c_5(c_0(c_0(c_3(c_4(c_1(c_5(c_0(c_2(c_3(c_2(c_4(c_0(c_0(c_1(x1)))))))))))))))))))) -> 1'(5'(0'(1'(1'(0'(3'(5'(1'(4'(5'(5'(0'(2'(1'(5'(2'(3'(3'(0'(x1)))))))))))))))))))) [1]
   4'(c_0(c_3(c_4(c_3(c_0(c_5(c_0(c_3(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_4(c_0(c_5(x1)))))))))))))))))))) -> 0'(1'(4'(4'(3'(1'(1'(3'(4'(4'(0'(1'(3'(4'(5'(0'(1'(1'(0'(5'(x1)))))))))))))))))))) [1]
   5'(c_2(c_0(c_3(c_4(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_4(c_5(c_0(x1)))))))))))))))))))) -> 1'(3'(2'(1'(5'(4'(1'(3'(3'(0'(3'(4'(1'(4'(5'(0'(1'(5'(0'(5'(x1)))))))))))))))))))) [1]
   3'(c_3(c_4(c_5(c_3(c_0(c_5(c_0(c_1(c_3(c_2(c_2(c_5(c_0(c_3(c_3(c_2(c_2(c_0(c_5(x1)))))))))))))))))))) -> 0'(3'(1'(4'(0'(1'(3'(5'(3'(3'(1'(1'(5'(2'(1'(4'(5'(0'(3'(4'(x1)))))))))))))))))))) [1]
   5'(c_1(c_3(c_5(c_2(c_5(c_4(c_4(c_5(c_1(c_5(c_5(c_1(c_0(c_0(c_1(c_4(c_3(c_1(c_2(x1)))))))))))))))))))) -> 5'(0'(5'(5'(1'(5'(0'(3'(2'(3'(4'(5'(2'(1'(0'(0'(0'(1'(3'(5'(x1)))))))))))))))))))) [1]
   4'(c_5(c_1(c_4(c_3(c_1(c_1(c_2(c_0(c_0(c_4(c_2(c_4(c_1(c_1(c_0(c_5(c_4(c_3(c_3(x1)))))))))))))))))))) -> 1'(3'(1'(1'(4'(3'(1'(2'(1'(5'(2'(2'(3'(3'(3'(1'(1'(0'(3'(4'(x1)))))))))))))))))))) [1]
   3'(c_4(c_2(c_4(c_1(c_1(c_1(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_1(c_4(c_3(c_2(c_0(x1)))))))))))))))))))) -> 5'(3'(4'(2'(1'(1'(0'(2'(0'(0'(1'(2'(5'(2'(0'(1'(3'(5'(0'(4'(x1)))))))))))))))))))) [1]
   5'(c_5(c_1(c_1(c_1(c_3(c_3(c_5(c_2(c_4(c_1(c_1(c_1(c_1(c_3(c_3(c_0(c_5(c_4(c_4(x1)))))))))))))))))))) -> 0'(5'(2'(1'(1'(1'(1'(4'(0'(5'(4'(3'(3'(5'(0'(4'(2'(1'(3'(0'(x1)))))))))))))))))))) [1]
   3'(c_5(c_4(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(c_1(c_4(c_3(c_0(x1)))))))))))))))))))) -> 2'(5'(2'(1'(1'(1'(1'(1'(4'(1'(1'(3'(2'(1'(5'(0'(5'(0'(0'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_3(c_4(c_5(c_5(c_2(c_0(c_5(c_3(c_3(c_3(c_0(c_2(c_0(c_5(c_0(c_4(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(5'(1'(1'(5'(3'(2'(5'(3'(4'(4'(1'(1'(3'(4'(2'(1'(5'(x1)))))))))))))))))))) [1]
   3'(c_1(c_4(c_2(c_3(c_2(c_0(c_5(c_0(c_3(c_1(c_0(c_1(c_2(c_3(c_5(c_4(c_0(c_1(c_4(x1)))))))))))))))))))) -> 2'(4'(1'(2'(1'(5'(0'(0'(5'(3'(2'(4'(5'(0'(2'(3'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   5'(c_3(c_3(c_2(c_0(c_3(c_4(c_3(c_2(c_5(c_0(c_2(c_5(c_0(c_3(c_0(c_5(c_1(c_5(c_5(x1)))))))))))))))))))) -> 3'(1'(2'(3'(0'(1'(5'(1'(1'(5'(5'(1'(0'(0'(3'(5'(2'(1'(2'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_4(c_1(c_1(c_4(c_0(c_0(c_1(c_2(c_1(c_1(c_3(c_3(c_2(c_5(c_3(c_4(c_4(x1)))))))))))))))))))) -> 5'(0'(0'(3'(5'(0'(2'(0'(1'(5'(0'(4'(1'(3'(1'(5'(1'(3'(5'(3'(x1)))))))))))))))))))) [1]
   4'(c_4(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_4(c_5(c_1(c_0(c_3(c_0(c_5(c_4(c_0(x1)))))))))))))))))))) -> 1'(2'(1'(5'(4'(1'(0'(1'(2'(0'(2'(0'(4'(4'(5'(4'(3'(3'(4'(5'(x1)))))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_5(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_1(c_5(c_4(x1)))))))))))))))))))) -> 1'(5'(1'(4'(0'(0'(1'(2'(0'(1'(3'(2'(1'(5'(1'(0'(1'(5'(3'(2'(x1)))))))))))))))))))) [1]
   1'(c_4(c_5(c_3(c_4(c_1(c_3(c_1(c_1(c_3(c_1(c_4(c_3(c_3(c_2(c_0(c_5(c_4(c_4(c_5(x1)))))))))))))))))))) -> 0'(4'(4'(1'(2'(1'(2'(1'(3'(0'(5'(5'(1'(2'(3'(4'(0'(1'(3'(5'(x1)))))))))))))))))))) [1]
   2'(c_0(c_5(c_3(c_1(c_2(c_4(c_2(c_3(c_0(c_3(c_5(c_4(c_2(c_5(c_2(c_1(c_3(c_5(c_1(x1)))))))))))))))))))) -> 4'(3'(1'(1'(4'(4'(0'(4'(2'(4'(2'(0'(5'(4'(2'(4'(5'(0'(0'(3'(x1)))))))))))))))))))) [1]
   0'(c_2(c_4(c_5(c_0(c_4(c_0(c_1(c_2(c_5(c_0(c_2(c_4(c_3(c_3(c_5(c_1(c_3(c_3(c_2(x1)))))))))))))))))))) -> 0'(5'(1'(1'(4'(1'(3'(0'(4'(5'(2'(4'(3'(4'(3'(1'(4'(5'(0'(5'(x1)))))))))))))))))))) [1]
   1'(c_4(c_4(c_1(c_0(c_1(c_5(c_5(c_4(c_0(c_0(c_3(c_1(c_4(c_0(c_4(c_5(c_5(c_0(c_1(x1)))))))))))))))))))) -> 1'(1'(3'(1'(2'(0'(0'(5'(1'(0'(2'(3'(0'(1'(5'(1'(4'(3'(1'(3'(x1)))))))))))))))))))) [1]
   2'(c_5(c_4(c_0(c_1(c_3(c_2(c_1(c_4(c_5(c_0(c_0(c_0(c_0(c_5(c_4(c_1(c_4(c_4(c_5(x1)))))))))))))))))))) -> 2'(1'(2'(5'(1'(1'(4'(4'(3'(4'(5'(1'(1'(0'(1'(0'(3'(5'(0'(1'(x1)))))))))))))))))))) [1]
   1'(c_1(c_4(c_5(c_1(c_1(c_2(c_5(c_1(c_2(c_0(c_1(c_1(c_4(c_2(c_0(c_5(c_4(c_4(c_4(x1)))))))))))))))))))) -> 5'(5'(0'(1'(4'(5'(1'(1'(3'(2'(5'(5'(0'(3'(2'(0'(1'(2'(4'(0'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_5(c_1(c_5(c_1(c_0(c_4(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(c_1(c_5(c_2(x1)))))))))))))))))))) -> 3'(2'(1'(4'(5'(0'(0'(3'(1'(3'(5'(1'(1'(1'(0'(0'(4'(5'(2'(5'(x1)))))))))))))))))))) [1]
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   5'(c_1(c_3(c_4(c_2(c_1(c_5(c_1(c_1(c_4(c_5(c_0(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(5'(1'(4'(1'(5'(2'(0'(5'(5'(5'(1'(5'(1'(0'(0'(2'(0'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_4(c_2(c_2(c_5(c_1(c_4(c_1(c_1(c_1(c_2(c_4(c_1(c_4(c_3(c_0(c_4(c_1(c_5(x1)))))))))))))))))))) -> 3'(0'(5'(1'(3'(3'(1'(4'(1'(3'(1'(2'(3'(5'(3'(3'(1'(4'(4'(5'(x1)))))))))))))))))))) [1]
   5'(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(x1)))))))))))))))))))) -> 1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(5'(x1)))))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_5(c_0(c_3(c_2(c_5(c_0(c_4(c_0(c_0(c_1(c_5(c_4(c_3(c_1(c_2(c_2(x1)))))))))))))))))))) -> 5'(1'(5'(4'(1'(1'(0'(1'(4'(2'(2'(5'(1'(2'(5'(5'(1'(3'(5'(1'(x1)))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4'(encArg(x_1)) [0]
   encArg(cons_5(x_1)) -> 5'(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) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Infered types.
----------------------------------------

(22)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

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

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

(23) 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

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

(24)
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:

   4'(c_3(c_4(c_1(c_3(c_1(c_4(c_4(c_1(c_4(c_0(c_1(c_3(c_4(c_5(c_4(c_2(c_2(c_5(c_1(x1)))))))))))))))))))) -> 3'(4'(3'(3'(5'(3'(3'(2'(1'(2'(0'(4'(0'(3'(5'(1'(1'(0'(2'(0'(x1)))))))))))))))))))) [1]
   3'(c_1(c_3(c_0(c_1(c_4(c_1(c_3(c_4(c_0(c_2(c_1(c_1(c_4(c_5(c_4(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 4'(5'(1'(0'(4'(1'(5'(1'(0'(4'(5'(5'(1'(3'(0'(4'(5'(5'(1'(0'(x1)))))))))))))))))))) [1]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x1)))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(x1)))))))))))))))))))) [1]
   3'(c_5(c_0(c_1(c_5(c_0(c_3(c_3(c_2(c_3(c_5(c_3(c_2(c_1(c_4(c_1(c_3(c_3(c_1(c_0(x1)))))))))))))))))))) -> 5'(5'(0'(2'(0'(5'(1'(4'(5'(5'(1'(1'(2'(1'(3'(1'(5'(4'(0'(4'(x1)))))))))))))))))))) [1]
   5'(c_0(c_4(c_2(c_1(c_3(c_5(c_5(c_0(c_3(c_5(c_2(c_0(c_2(c_2(c_5(c_3(c_0(c_0(c_5(x1)))))))))))))))))))) -> 3'(5'(5'(0'(3'(1'(5'(1'(0'(1'(3'(2'(0'(4'(3'(4'(5'(1'(4'(1'(x1)))))))))))))))))))) [1]
   0'(c_4(c_0(c_3(c_1(c_3(c_5(c_5(c_0(c_0(c_5(c_0(c_0(c_3(c_0(c_4(c_0(c_0(c_5(c_4(x1)))))))))))))))))))) -> 5'(5'(1'(2'(5'(1'(1'(0'(0'(2'(4'(0'(2'(0'(5'(0'(5'(0'(2'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_3(c_2(c_1(c_5(c_0(c_3(c_1(c_1(c_4(c_1(c_3(c_5(c_1(c_4(c_5(c_4(x1)))))))))))))))))))) -> 1'(1'(1'(4'(3'(1'(2'(5'(1'(2'(1'(2'(0'(0'(3'(3'(0'(2'(0'(3'(x1)))))))))))))))))))) [1]
   0'(c_0(c_0(c_0(c_1(c_2(c_3(c_2(c_4(c_2(c_0(c_4(c_3(c_2(c_2(c_3(c_1(c_0(c_5(c_0(x1)))))))))))))))))))) -> 3'(5'(5'(4'(2'(0'(1'(0'(0'(0'(4'(0'(3'(2'(2'(5'(1'(2'(1'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_0(c_0(c_4(c_5(c_0(c_2(c_3(c_2(c_0(c_5(c_5(c_1(c_2(c_0(c_5(c_5(c_4(x1)))))))))))))))))))) -> 0'(2'(5'(1'(2'(1'(0'(4'(0'(3'(0'(5'(1'(5'(0'(4'(2'(3'(2'(0'(x1)))))))))))))))))))) [1]
   2'(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_2(c_0(c_1(c_4(c_3(c_5(c_0(c_4(c_3(c_1(c_2(c_2(x1)))))))))))))))))))) -> 1'(0'(4'(2'(0'(0'(5'(1'(0'(5'(5'(0'(3'(0'(0'(1'(0'(2'(5'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_4(c_4(c_1(c_1(c_3(c_2(c_3(c_2(c_4(c_5(c_4(c_5(c_0(c_1(c_5(c_5(c_4(c_1(x1)))))))))))))))))))) -> 1'(0'(2'(0'(3'(5'(0'(5'(1'(5'(4'(0'(0'(0'(1'(0'(2'(4'(2'(3'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_3(c_2(c_2(c_2(c_4(c_2(c_5(c_0(c_4(c_4(c_4(c_1(c_3(c_0(c_3(c_3(c_5(x1)))))))))))))))))))) -> 5'(0'(4'(5'(3'(2'(5'(0'(5'(5'(0'(0'(3'(0'(5'(1'(2'(3'(5'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_3(c_1(c_4(c_5(c_3(c_2(c_0(c_4(c_4(c_1(c_1(c_4(c_3(c_0(c_4(c_5(c_2(x1)))))))))))))))))))) -> 1'(0'(0'(5'(0'(4'(3'(0'(0'(3'(4'(3'(1'(2'(3'(2'(5'(1'(0'(3'(x1)))))))))))))))))))) [1]
   1'(c_5(c_3(c_0(c_4(c_0(c_2(c_5(c_4(c_5(c_2(c_0(c_3(c_2(c_0(c_5(c_0(c_3(c_4(c_3(x1)))))))))))))))))))) -> 5'(5'(0'(2'(0'(1'(2'(3'(0'(1'(5'(3'(2'(2'(5'(1'(5'(3'(4'(4'(x1)))))))))))))))))))) [1]
   0'(c_5(c_3(c_5(c_0(c_0(c_2(c_0(c_3(c_3(c_0(c_4(c_4(c_1(c_4(c_0(c_5(c_0(c_5(c_0(x1)))))))))))))))))))) -> 4'(3'(3'(4'(0'(5'(3'(2'(0'(3'(1'(1'(5'(1'(1'(3'(1'(0'(1'(1'(x1)))))))))))))))))))) [1]
   5'(c_0(c_3(c_4(c_3(c_1(c_5(c_5(c_1(c_3(c_4(c_0(c_5(c_3(c_1(c_2(c_5(c_3(c_5(c_0(x1)))))))))))))))))))) -> 4'(1'(0'(0'(1'(5'(1'(5'(1'(2'(0'(1'(5'(3'(4'(4'(5'(5'(1'(4'(x1)))))))))))))))))))) [1]
   1'(c_2(c_0(c_5(c_2(c_3(c_3(c_0(c_2(c_4(c_5(c_1(c_5(c_4(c_2(c_4(c_1(c_4(c_1(c_3(x1)))))))))))))))))))) -> 2'(3'(3'(3'(1'(5'(1'(3'(5'(1'(1'(5'(2'(3'(3'(5'(0'(2'(0'(1'(x1)))))))))))))))))))) [1]
   0'(c_4(c_5(c_5(c_5(c_3(c_3(c_1(c_0(c_4(c_3(c_4(c_5(c_0(c_2(c_4(c_5(c_3(c_0(c_5(x1)))))))))))))))))))) -> 3'(3'(2'(5'(5'(0'(3'(1'(3'(3'(4'(5'(1'(0'(1'(3'(3'(1'(2'(1'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_3(c_1(c_4(c_0(c_0(c_4(c_3(c_3(c_0(c_4(c_2(c_3(c_5(c_5(c_0(c_3(c_5(x1)))))))))))))))))))) -> 5'(5'(2'(1'(1'(0'(0'(2'(5'(5'(5'(1'(1'(1'(0'(4'(1'(3'(2'(5'(x1)))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_4(c_5(c_0(c_0(c_3(c_4(c_1(c_5(c_0(c_2(c_3(c_2(c_4(c_0(c_0(c_1(x1)))))))))))))))))))) -> 1'(5'(0'(1'(1'(0'(3'(5'(1'(4'(5'(5'(0'(2'(1'(5'(2'(3'(3'(0'(x1)))))))))))))))))))) [1]
   4'(c_0(c_3(c_4(c_3(c_0(c_5(c_0(c_3(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_4(c_0(c_5(x1)))))))))))))))))))) -> 0'(1'(4'(4'(3'(1'(1'(3'(4'(4'(0'(1'(3'(4'(5'(0'(1'(1'(0'(5'(x1)))))))))))))))))))) [1]
   5'(c_2(c_0(c_3(c_4(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_4(c_5(c_0(x1)))))))))))))))))))) -> 1'(3'(2'(1'(5'(4'(1'(3'(3'(0'(3'(4'(1'(4'(5'(0'(1'(5'(0'(5'(x1)))))))))))))))))))) [1]
   3'(c_3(c_4(c_5(c_3(c_0(c_5(c_0(c_1(c_3(c_2(c_2(c_5(c_0(c_3(c_3(c_2(c_2(c_0(c_5(x1)))))))))))))))))))) -> 0'(3'(1'(4'(0'(1'(3'(5'(3'(3'(1'(1'(5'(2'(1'(4'(5'(0'(3'(4'(x1)))))))))))))))))))) [1]
   5'(c_1(c_3(c_5(c_2(c_5(c_4(c_4(c_5(c_1(c_5(c_5(c_1(c_0(c_0(c_1(c_4(c_3(c_1(c_2(x1)))))))))))))))))))) -> 5'(0'(5'(5'(1'(5'(0'(3'(2'(3'(4'(5'(2'(1'(0'(0'(0'(1'(3'(5'(x1)))))))))))))))))))) [1]
   4'(c_5(c_1(c_4(c_3(c_1(c_1(c_2(c_0(c_0(c_4(c_2(c_4(c_1(c_1(c_0(c_5(c_4(c_3(c_3(x1)))))))))))))))))))) -> 1'(3'(1'(1'(4'(3'(1'(2'(1'(5'(2'(2'(3'(3'(3'(1'(1'(0'(3'(4'(x1)))))))))))))))))))) [1]
   3'(c_4(c_2(c_4(c_1(c_1(c_1(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_1(c_4(c_3(c_2(c_0(x1)))))))))))))))))))) -> 5'(3'(4'(2'(1'(1'(0'(2'(0'(0'(1'(2'(5'(2'(0'(1'(3'(5'(0'(4'(x1)))))))))))))))))))) [1]
   5'(c_5(c_1(c_1(c_1(c_3(c_3(c_5(c_2(c_4(c_1(c_1(c_1(c_1(c_3(c_3(c_0(c_5(c_4(c_4(x1)))))))))))))))))))) -> 0'(5'(2'(1'(1'(1'(1'(4'(0'(5'(4'(3'(3'(5'(0'(4'(2'(1'(3'(0'(x1)))))))))))))))))))) [1]
   3'(c_5(c_4(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(c_1(c_4(c_3(c_0(x1)))))))))))))))))))) -> 2'(5'(2'(1'(1'(1'(1'(1'(4'(1'(1'(3'(2'(1'(5'(0'(5'(0'(0'(2'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_3(c_4(c_5(c_5(c_2(c_0(c_5(c_3(c_3(c_3(c_0(c_2(c_0(c_5(c_0(c_4(c_0(x1)))))))))))))))))))) -> 1'(1'(0'(5'(1'(1'(5'(3'(2'(5'(3'(4'(4'(1'(1'(3'(4'(2'(1'(5'(x1)))))))))))))))))))) [1]
   3'(c_1(c_4(c_2(c_3(c_2(c_0(c_5(c_0(c_3(c_1(c_0(c_1(c_2(c_3(c_5(c_4(c_0(c_1(c_4(x1)))))))))))))))))))) -> 2'(4'(1'(2'(1'(5'(0'(0'(5'(3'(2'(4'(5'(0'(2'(3'(0'(1'(1'(1'(x1)))))))))))))))))))) [1]
   5'(c_3(c_3(c_2(c_0(c_3(c_4(c_3(c_2(c_5(c_0(c_2(c_5(c_0(c_3(c_0(c_5(c_1(c_5(c_5(x1)))))))))))))))))))) -> 3'(1'(2'(3'(0'(1'(5'(1'(1'(5'(5'(1'(0'(0'(3'(5'(2'(1'(2'(1'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_4(c_1(c_1(c_4(c_0(c_0(c_1(c_2(c_1(c_1(c_3(c_3(c_2(c_5(c_3(c_4(c_4(x1)))))))))))))))))))) -> 5'(0'(0'(3'(5'(0'(2'(0'(1'(5'(0'(4'(1'(3'(1'(5'(1'(3'(5'(3'(x1)))))))))))))))))))) [1]
   4'(c_4(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_4(c_5(c_1(c_0(c_3(c_0(c_5(c_4(c_0(x1)))))))))))))))))))) -> 1'(2'(1'(5'(4'(1'(0'(1'(2'(0'(2'(0'(4'(4'(5'(4'(3'(3'(4'(5'(x1)))))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_5(c_0(c_2(c_5(c_3(c_1(c_3(c_1(c_3(c_4(c_0(c_0(c_0(c_1(c_5(c_4(x1)))))))))))))))))))) -> 1'(5'(1'(4'(0'(0'(1'(2'(0'(1'(3'(2'(1'(5'(1'(0'(1'(5'(3'(2'(x1)))))))))))))))))))) [1]
   1'(c_4(c_5(c_3(c_4(c_1(c_3(c_1(c_1(c_3(c_1(c_4(c_3(c_3(c_2(c_0(c_5(c_4(c_4(c_5(x1)))))))))))))))))))) -> 0'(4'(4'(1'(2'(1'(2'(1'(3'(0'(5'(5'(1'(2'(3'(4'(0'(1'(3'(5'(x1)))))))))))))))))))) [1]
   2'(c_0(c_5(c_3(c_1(c_2(c_4(c_2(c_3(c_0(c_3(c_5(c_4(c_2(c_5(c_2(c_1(c_3(c_5(c_1(x1)))))))))))))))))))) -> 4'(3'(1'(1'(4'(4'(0'(4'(2'(4'(2'(0'(5'(4'(2'(4'(5'(0'(0'(3'(x1)))))))))))))))))))) [1]
   0'(c_2(c_4(c_5(c_0(c_4(c_0(c_1(c_2(c_5(c_0(c_2(c_4(c_3(c_3(c_5(c_1(c_3(c_3(c_2(x1)))))))))))))))))))) -> 0'(5'(1'(1'(4'(1'(3'(0'(4'(5'(2'(4'(3'(4'(3'(1'(4'(5'(0'(5'(x1)))))))))))))))))))) [1]
   1'(c_4(c_4(c_1(c_0(c_1(c_5(c_5(c_4(c_0(c_0(c_3(c_1(c_4(c_0(c_4(c_5(c_5(c_0(c_1(x1)))))))))))))))))))) -> 1'(1'(3'(1'(2'(0'(0'(5'(1'(0'(2'(3'(0'(1'(5'(1'(4'(3'(1'(3'(x1)))))))))))))))))))) [1]
   2'(c_5(c_4(c_0(c_1(c_3(c_2(c_1(c_4(c_5(c_0(c_0(c_0(c_0(c_5(c_4(c_1(c_4(c_4(c_5(x1)))))))))))))))))))) -> 2'(1'(2'(5'(1'(1'(4'(4'(3'(4'(5'(1'(1'(0'(1'(0'(3'(5'(0'(1'(x1)))))))))))))))))))) [1]
   1'(c_1(c_4(c_5(c_1(c_1(c_2(c_5(c_1(c_2(c_0(c_1(c_1(c_4(c_2(c_0(c_5(c_4(c_4(c_4(x1)))))))))))))))))))) -> 5'(5'(0'(1'(4'(5'(1'(1'(3'(2'(5'(5'(0'(3'(2'(0'(1'(2'(4'(0'(x1)))))))))))))))))))) [1]
   2'(c_1(c_3(c_5(c_1(c_5(c_1(c_0(c_4(c_2(c_2(c_3(c_3(c_1(c_1(c_3(c_3(c_1(c_5(c_2(x1)))))))))))))))))))) -> 3'(2'(1'(4'(5'(0'(0'(3'(1'(3'(5'(1'(1'(1'(0'(0'(4'(5'(2'(5'(x1)))))))))))))))))))) [1]
   1'(c_4(c_1(c_3(c_4(c_1(c_0(c_3(c_4(c_4(c_3(c_5(c_4(c_5(c_5(c_0(c_1(c_0(c_0(c_1(x1)))))))))))))))))))) -> 5'(1'(5'(0'(3'(1'(2'(3'(3'(1'(4'(0'(1'(5'(5'(0'(1'(2'(4'(4'(x1)))))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_4(c_0(c_0(c_5(c_5(c_1(c_0(c_0(c_1(c_3(c_4(c_3(x1)))))))))))))))))))) -> 0'(1'(1'(0'(1'(4'(4'(5'(3'(1'(5'(1'(5'(5'(0'(5'(1'(3'(2'(1'(x1)))))))))))))))))))) [1]
   0'(c_3(c_0(c_3(c_5(c_1(c_1(c_1(c_1(c_5(c_5(c_3(c_5(c_5(c_5(c_0(c_3(c_4(c_4(c_0(x1)))))))))))))))))))) -> 1'(5'(1'(5'(5'(0'(4'(1'(3'(1'(1'(2'(1'(1'(5'(1'(5'(2'(1'(2'(x1)))))))))))))))))))) [1]
   0'(c_4(c_5(c_0(c_2(c_4(c_0(c_3(c_2(c_5(c_0(c_3(c_1(c_3(c_1(c_1(c_1(c_3(c_4(c_2(x1)))))))))))))))))))) -> 0'(4'(3'(3'(5'(1'(1'(1'(0'(1'(1'(5'(1'(3'(4'(2'(0'(5'(1'(3'(x1)))))))))))))))))))) [1]
   1'(c_4(c_3(c_1(c_5(c_0(c_2(c_5(c_4(c_3(c_1(c_5(c_0(c_1(c_2(c_2(c_5(c_3(c_5(c_2(x1)))))))))))))))))))) -> 5'(5'(2'(1'(3'(1'(0'(2'(3'(4'(1'(5'(0'(3'(2'(1'(3'(3'(1'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_4(c_2(c_1(c_4(c_1(c_2(c_2(c_1(c_4(c_1(c_2(c_4(c_3(c_4(c_2(c_3(c_0(c_1(x1)))))))))))))))))))) -> 1'(2'(3'(2'(3'(0'(0'(4'(4'(4'(0'(3'(2'(3'(5'(0'(1'(5'(1'(3'(x1)))))))))))))))))))) [1]
   0'(c_2(c_1(c_1(c_1(c_5(c_5(c_4(c_2(c_5(c_2(c_1(c_1(c_0(c_1(c_5(c_5(c_0(c_2(c_5(x1)))))))))))))))))))) -> 5'(5'(1'(3'(1'(1'(2'(0'(3'(5'(1'(5'(1'(3'(3'(0'(3'(5'(5'(5'(x1)))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_4(c_2(c_2(c_3(c_0(c_1(c_1(c_5(c_5(c_1(c_2(c_1(c_3(c_5(c_1(c_2(x1)))))))))))))))))))) -> 4'(5'(0'(1'(3'(4'(3'(1'(3'(0'(4'(0'(0'(5'(0'(0'(3'(1'(1'(5'(x1)))))))))))))))))))) [1]
   0'(c_5(c_4(c_3(c_5(c_3(c_3(c_5(c_5(c_5(c_1(c_0(c_4(c_4(c_3(c_1(c_2(c_5(c_0(c_3(x1)))))))))))))))))))) -> 5'(0'(3'(4'(2'(4'(3'(2'(5'(1'(1'(4'(1'(1'(2'(3'(5'(1'(3'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_3(c_5(c_0(c_1(c_1(c_0(c_0(c_1(c_1(c_5(c_4(c_2(c_0(c_1(c_2(c_4(c_5(c_4(x1)))))))))))))))))))) -> 1'(5'(0'(3'(2'(1'(4'(5'(1'(0'(5'(3'(5'(1'(2'(3'(1'(3'(1'(1'(x1)))))))))))))))))))) [1]
   2'(c_5(c_1(c_1(c_1(c_5(c_2(c_0(c_5(c_5(c_2(c_4(c_0(c_2(c_5(c_0(c_5(c_4(c_3(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(1'(5'(3'(2'(3'(2'(5'(4'(0'(3'(3'(3'(0'(2'(5'(0'(1'(x1)))))))))))))))))))) [1]
   3'(c_0(c_4(c_3(c_3(c_5(c_3(c_2(c_3(c_3(c_5(c_0(c_4(c_2(c_0(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))))) -> 5'(1'(2'(1'(5'(4'(3'(0'(3'(4'(1'(0'(0'(5'(1'(0'(0'(4'(5'(3'(x1)))))))))))))))))))) [1]
   0'(c_1(c_5(c_2(c_5(c_4(c_4(c_0(c_3(c_4(c_0(c_0(c_3(c_5(c_0(c_1(c_3(c_3(c_4(c_2(x1)))))))))))))))))))) -> 1'(3'(3'(2'(4'(1'(2'(5'(1'(4'(1'(5'(4'(3'(2'(5'(1'(0'(2'(0'(x1)))))))))))))))))))) [1]
   0'(c_5(c_1(c_2(c_3(c_3(c_2(c_4(c_1(c_2(c_1(c_0(c_0(c_4(c_3(c_5(c_0(c_1(c_2(c_2(x1)))))))))))))))))))) -> 3'(2'(2'(1'(5'(3'(5'(0'(3'(5'(1'(5'(0'(0'(4'(1'(4'(3'(5'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_2(c_2(c_4(c_4(c_2(c_1(c_3(c_3(c_1(c_1(c_3(c_3(c_1(c_5(c_0(c_5(c_1(c_3(x1)))))))))))))))))))) -> 1'(1'(0'(1'(4'(3'(1'(3'(2'(0'(1'(5'(0'(5'(5'(4'(4'(4'(5'(0'(x1)))))))))))))))))))) [1]
   5'(c_0(c_5(c_0(c_2(c_0(c_4(c_3(c_4(c_2(c_3(c_4(c_2(c_1(c_5(c_4(c_0(c_1(c_3(c_5(x1)))))))))))))))))))) -> 5'(0'(3'(0'(5'(4'(2'(0'(3'(5'(1'(5'(4'(3'(0'(0'(0'(1'(5'(5'(x1)))))))))))))))))))) [1]
   1'(c_0(c_0(c_5(c_2(c_3(c_1(c_0(c_1(c_4(c_3(c_0(c_1(c_2(c_0(c_2(c_1(c_4(c_4(c_2(x1)))))))))))))))))))) -> 1'(3'(0'(5'(2'(2'(5'(3'(2'(1'(4'(0'(5'(1'(3'(3'(5'(0'(5'(1'(x1)))))))))))))))))))) [1]
   3'(c_4(c_2(c_5(c_5(c_0(c_3(c_0(c_0(c_0(c_3(c_4(c_1(c_1(c_0(c_1(c_1(c_5(c_3(c_1(x1)))))))))))))))))))) -> 3'(5'(5'(2'(0'(0'(0'(5'(0'(0'(0'(5'(5'(1'(0'(5'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
   4'(c_5(c_5(c_3(c_3(c_0(c_2(c_4(c_0(c_4(c_3(c_5(c_0(c_4(c_0(c_4(c_0(c_0(c_0(c_4(x1)))))))))))))))))))) -> 3'(2'(1'(4'(4'(0'(2'(1'(1'(0'(1'(1'(5'(2'(2'(5'(5'(0'(0'(2'(x1)))))))))))))))))))) [1]
   2'(c_5(c_1(c_3(c_0(c_5(c_3(c_5(c_1(c_2(c_4(c_4(c_1(c_2(c_0(c_0(c_5(c_2(c_1(c_5(x1)))))))))))))))))))) -> 4'(2'(3'(1'(4'(3'(1'(5'(5'(2'(1'(2'(3'(3'(0'(4'(4'(5'(1'(5'(x1)))))))))))))))))))) [1]
   4'(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_4(c_5(c_1(c_2(c_0(c_5(c_0(x1)))))))))))))))))))) -> 5'(1'(0'(0'(1'(3'(0'(4'(1'(1'(0'(3'(1'(0'(1'(4'(1'(5'(0'(5'(x1)))))))))))))))))))) [1]
   1'(c_4(c_3(c_3(c_0(c_5(c_0(c_5(c_4(c_2(c_1(c_2(c_5(c_0(c_3(c_2(c_1(c_0(c_1(c_4(x1)))))))))))))))))))) -> 1'(1'(3'(3'(5'(4'(3'(2'(1'(4'(1'(5'(3'(1'(4'(1'(1'(4'(5'(1'(x1)))))))))))))))))))) [1]
   1'(c_1(c_5(c_5(c_5(c_4(c_2(c_5(c_5(c_0(c_0(c_0(c_5(c_3(c_0(c_4(c_0(c_4(c_2(c_1(x1)))))))))))))))))))) -> 1'(2'(4'(1'(2'(0'(0'(5'(5'(1'(4'(3'(3'(0'(1'(0'(0'(4'(3'(2'(x1)))))))))))))))))))) [1]
   0'(c_2(c_3(c_4(c_0(c_0(c_1(c_1(c_5(c_3(c_0(c_4(c_5(c_0(c_0(c_0(c_1(c_5(c_2(c_1(x1)))))))))))))))))))) -> 0'(0'(4'(5'(5'(1'(3'(5'(5'(1'(1'(1'(2'(5'(4'(1'(1'(0'(5'(4'(x1)))))))))))))))))))) [1]
   3'(c_2(c_5(c_1(c_4(c_4(c_3(c_1(c_1(c_1(c_5(c_0(c_2(c_3(c_3(c_0(c_4(c_1(c_1(c_3(x1)))))))))))))))))))) -> 1'(1'(3'(3'(1'(3'(5'(3'(3'(0'(3'(5'(0'(4'(5'(0'(4'(1'(5'(1'(x1)))))))))))))))))))) [1]
   5'(c_0(c_3(c_2(c_5(c_1(c_0(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_5(c_0(c_1(c_5(c_2(c_5(x1)))))))))))))))))))) -> 1'(4'(4'(1'(1'(0'(3'(3'(3'(1'(3'(1'(1'(5'(0'(3'(5'(5'(1'(1'(x1)))))))))))))))))))) [1]
   5'(c_4(c_4(c_3(c_0(c_5(c_1(c_3(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_5(c_2(c_0(c_4(c_2(x1)))))))))))))))))))) -> 4'(0'(5'(0'(3'(4'(3'(1'(1'(2'(2'(0'(2'(0'(2'(1'(1'(4'(0'(5'(x1)))))))))))))))))))) [1]
   0'(c_0(c_3(c_4(c_4(c_4(c_2(c_4(c_5(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_0(x1)))))))))))))))))))) -> 0'(5'(3'(1'(4'(4'(5'(2'(4'(3'(5'(1'(1'(0'(0'(4'(4'(1'(1'(4'(x1)))))))))))))))))))) [1]
   1'(c_5(c_1(c_5(c_1(c_4(c_1(c_0(c_0(c_3(c_3(c_3(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_3(x1)))))))))))))))))))) -> 1'(1'(3'(2'(5'(1'(0'(0'(0'(1'(4'(1'(5'(0'(1'(5'(5'(0'(0'(0'(x1)))))))))))))))))))) [1]
   5'(c_2(c_0(c_5(c_0(c_5(c_5(c_5(c_5(c_2(c_2(c_2(c_5(c_1(c_2(c_0(c_5(c_5(c_4(c_5(x1)))))))))))))))))))) -> 5'(1'(2'(3'(0'(1'(0'(4'(2'(1'(5'(0'(1'(0'(1'(5'(5'(5'(2'(3'(x1)))))))))))))))))))) [1]
   0'(c_3(c_5(c_2(c_2(c_0(c_4(c_2(c_2(c_1(c_5(c_0(c_5(c_2(c_0(c_4(c_4(c_4(c_0(c_4(x1)))))))))))))))))))) -> 1'(2'(3'(4'(1'(1'(4'(5'(5'(5'(5'(1'(5'(1'(3'(5'(2'(2'(4'(5'(x1)))))))))))))))))))) [1]
   3'(c_3(c_3(c_5(c_4(c_4(c_0(c_5(c_4(c_1(c_4(c_3(c_1(c_3(c_3(c_2(c_1(c_5(c_3(c_1(x1)))))))))))))))))))) -> 1'(3'(3'(4'(0'(3'(4'(1'(2'(1'(1'(0'(0'(2'(4'(5'(4'(1'(4'(0'(x1)))))))))))))))))))) [1]
   5'(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_5(c_1(c_1(c_0(c_0(c_1(c_2(c_4(c_2(c_4(c_1(c_3(x1)))))))))))))))))))) -> 5'(5'(3'(1'(3'(5'(1'(5'(0'(1'(0'(1'(0'(0'(0'(5'(5'(5'(1'(2'(x1)))))))))))))))))))) [1]
   4'(c_4(c_3(c_2(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_0(c_3(c_5(c_1(c_0(c_5(c_5(c_3(c_5(x1)))))))))))))))))))) -> 3'(2'(1'(5'(1'(3'(0'(1'(1'(0'(1'(5'(1'(1'(4'(1'(5'(5'(4'(1'(x1)))))))))))))))))))) [1]
   1'(c_5(c_1(c_2(c_4(c_5(c_1(c_4(c_3(c_2(c_1(c_5(c_1(c_2(c_1(c_2(c_1(c_4(c_0(c_3(x1)))))))))))))))))))) -> 0'(5'(0'(0'(5'(0'(3'(2'(0'(1'(4'(2'(0'(5'(1'(1'(5'(0'(2'(4'(x1)))))))))))))))))))) [1]
   3'(c_0(c_1(c_1(c_1(c_1(c_2(c_3(c_4(c_5(c_2(c_5(c_5(c_3(c_1(c_2(c_1(c_3(c_3(c_3(x1)))))))))))))))))))) -> 3'(4'(4'(0'(5'(1'(1'(2'(0'(4'(3'(0'(1'(1'(0'(0'(1'(0'(4'(2'(x1)))))))))))))))))))) [1]
   2'(c_1(c_0(c_2(c_5(c_1(c_1(c_0(c_1(c_4(c_3(c_3(c_3(c_1(c_0(c_4(c_3(c_0(c_5(c_2(x1)))))))))))))))))))) -> 1'(3'(4'(5'(1'(5'(1'(4'(0'(5'(0'(2'(0'(0'(0'(3'(0'(2'(1'(5'(x1)))))))))))))))))))) [1]
   1'(c_1(c_5(c_4(c_4(c_1(c_2(c_2(c_5(c_5(c_0(c_3(c_5(c_2(c_5(c_3(c_0(c_4(c_1(c_5(x1)))))))))))))))))))) -> 4'(2'(1'(0'(4'(1'(1'(1'(4'(0'(0'(3'(0'(1'(5'(0'(1'(5'(1'(0'(x1)))))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(x1)))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(5'(x1)))))))))))))))))))) [1]
   3'(c_5(c_5(c_5(c_3(c_0(c_1(c_4(c_0(c_3(c_3(c_3(c_0(c_5(c_1(c_0(c_1(c_1(c_5(c_4(x1)))))))))))))))))))) -> 4'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(3'(5'(1'(0'(1'(5'(0'(2'(5'(x1)))))))))))))))))))) [1]
   5'(c_3(c_4(c_3(c_2(c_0(c_1(c_5(c_1(c_1(c_1(c_4(c_3(c_5(c_5(c_4(c_5(c_5(c_2(c_3(x1)))))))))))))))))))) -> 5'(1'(4'(4'(3'(2'(5'(5'(2'(5'(1'(4'(1'(1'(3'(3'(0'(5'(3'(1'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_4(c_1(c_2(c_0(c_5(c_1(c_3(c_0(c_1(c_4(c_0(c_0(c_0(c_5(c_4(c_3(c_2(x1)))))))))))))))))))) -> 5'(5'(1'(4'(1'(0'(1'(0'(1'(2'(3'(1'(3'(0'(0'(5'(1'(3'(1'(3'(x1)))))))))))))))))))) [1]
   0'(c_3(c_3(c_1(c_4(c_2(c_5(c_3(c_2(c_2(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_0(c_5(c_3(x1)))))))))))))))))))) -> 3'(4'(1'(0'(4'(5'(1'(4'(0'(4'(1'(2'(2'(0'(3'(1'(1'(0'(5'(3'(x1)))))))))))))))))))) [1]
   3'(c_0(c_0(c_0(c_0(c_3(c_4(c_1(c_2(c_0(c_3(c_2(c_4(c_3(c_4(c_4(c_0(c_4(c_4(c_1(x1)))))))))))))))))))) -> 1'(1'(4'(4'(0'(2'(1'(4'(0'(2'(0'(4'(5'(1'(3'(3'(0'(5'(5'(4'(x1)))))))))))))))))))) [1]
   5'(c_0(c_1(c_3(c_2(c_1(c_1(c_4(c_4(c_3(c_4(c_3(c_1(c_5(c_5(c_1(c_2(c_2(c_4(c_5(x1)))))))))))))))))))) -> 3'(1'(1'(2'(0'(1'(2'(1'(0'(3'(1'(1'(4'(5'(3'(5'(1'(1'(5'(1'(x1)))))))))))))))))))) [1]
   3'(c_3(c_1(c_3(c_1(c_3(c_0(c_2(c_0(c_2(c_4(c_2(c_1(c_1(c_2(c_4(c_5(c_0(c_3(c_4(x1)))))))))))))))))))) -> 2'(2'(0'(0'(1'(5'(2'(5'(0'(0'(5'(1'(1'(0'(1'(2'(2'(5'(0'(4'(x1)))))))))))))))))))) [1]
   0'(c_0(c_4(c_3(c_1(c_0(c_3(c_3(c_2(c_1(c_4(c_2(c_4(c_3(c_1(c_2(c_1(c_3(c_5(c_1(x1)))))))))))))))))))) -> 1'(3'(4'(5'(0'(1'(1'(3'(5'(3'(4'(2'(1'(2'(0'(2'(5'(0'(4'(1'(x1)))))))))))))))))))) [1]
   2'(c_5(c_3(c_2(c_4(c_2(c_0(c_2(c_5(c_2(c_1(c_2(c_0(c_5(c_1(c_2(c_1(c_4(c_0(c_0(x1)))))))))))))))))))) -> 1'(1'(5'(4'(5'(1'(2'(5'(4'(5'(4'(0'(5'(2'(5'(2'(0'(3'(1'(4'(x1)))))))))))))))))))) [1]
   5'(c_1(c_2(c_1(c_3(c_0(c_3(c_5(c_5(c_2(c_2(c_3(c_3(c_1(c_5(c_2(c_0(c_0(c_5(c_3(x1)))))))))))))))))))) -> 2'(0'(0'(1'(2'(4'(1'(3'(0'(0'(1'(5'(3'(4'(2'(4'(1'(2'(5'(0'(x1)))))))))))))))))))) [1]
   1'(c_0(c_3(c_1(c_0(c_5(c_3(c_3(c_5(c_1(c_2(c_4(c_5(c_4(c_1(c_4(c_4(c_4(c_3(c_5(x1)))))))))))))))))))) -> 5'(1'(1'(4'(1'(5'(5'(1'(4'(1'(1'(4'(3'(2'(1'(4'(4'(1'(3'(5'(x1)))))))))))))))))))) [1]
   0'(c_1(c_1(c_5(c_4(c_4(c_2(c_1(c_1(c_2(c_2(c_3(c_4(c_4(c_0(c_5(c_0(c_4(c_2(c_2(x1)))))))))))))))))))) -> 2'(4'(2'(4'(5'(2'(1'(0'(1'(4'(4'(5'(0'(2'(1'(5'(5'(1'(1'(3'(x1)))))))))))))))))))) [1]
   4'(c_1(c_2(c_2(c_3(c_0(c_1(c_1(c_2(c_1(c_5(c_4(c_4(c_1(c_4(c_2(c_1(c_2(c_5(c_2(x1)))))))))))))))))))) -> 5'(5'(5'(1'(1'(0'(4'(1'(1'(1'(2'(2'(4'(5'(2'(2'(0'(5'(5'(0'(x1)))))))))))))))))))) [1]
   4'(c_3(c_1(c_4(c_1(c_1(c_1(c_1(c_3(c_3(c_0(c_0(c_5(c_5(c_0(c_2(c_5(c_3(c_1(c_1(x1)))))))))))))))))))) -> 0'(0'(1'(3'(3'(3'(1'(3'(4'(2'(1'(5'(1'(1'(4'(1'(1'(0'(3'(1'(x1)))))))))))))))))))) [1]
   5'(c_2(c_3(c_4(c_3(c_2(c_0(c_1(c_1(c_2(c_3(c_1(c_5(c_1(c_1(c_4(c_1(c_4(c_4(c_3(x1)))))))))))))))))))) -> 5'(1'(0'(4'(3'(0'(1'(0'(1'(0'(2'(3'(4'(2'(2'(5'(5'(1'(0'(4'(x1)))))))))))))))))))) [1]
   5'(c_1(c_3(c_4(c_2(c_1(c_5(c_1(c_1(c_4(c_5(c_0(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_0(x1)))))))))))))))))))) -> 0'(1'(5'(1'(4'(1'(5'(2'(0'(5'(5'(5'(1'(5'(1'(0'(0'(2'(0'(3'(x1)))))))))))))))))))) [1]
   3'(c_3(c_4(c_2(c_2(c_5(c_1(c_4(c_1(c_1(c_1(c_2(c_4(c_1(c_4(c_3(c_0(c_4(c_1(c_5(x1)))))))))))))))))))) -> 3'(0'(5'(1'(3'(3'(1'(4'(1'(3'(1'(2'(3'(5'(3'(3'(1'(4'(4'(5'(x1)))))))))))))))))))) [1]
   5'(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(x1)))))))))))))))))))) -> 1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(5'(x1)))))))))))))))))))) [1]
   1'(c_1(c_3(c_3(c_5(c_0(c_3(c_2(c_5(c_0(c_4(c_0(c_0(c_1(c_5(c_4(c_3(c_1(c_2(c_2(x1)))))))))))))))))))) -> 5'(1'(5'(4'(1'(1'(0'(1'(4'(2'(2'(5'(1'(2'(5'(5'(1'(3'(5'(1'(x1)))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_3(x_1)) -> 3'(encArg(x_1)) [0]
   encArg(cons_4(x_1)) -> 4'(encArg(x_1)) [0]
   encArg(cons_5(x_1)) -> 5'(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:
4' :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
c_3 :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
c_4 :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
c_1 :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
c_0 :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
c_5 :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
c_2 :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
3' :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
5' :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
2' :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
1' :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
0' :: c_1:c_5:c_2:c_4:c_3:c_0:const -> c_1:c_5:c_2:c_4:c_3:c_0:const
encArg :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> c_1:c_5:c_2:c_4:c_3:c_0:const
cons_0 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_1 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_2 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_3 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_4 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
cons_5 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> cons_0:cons_1:cons_2:cons_3:cons_4:cons_5
encode_0 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> c_1:c_5:c_2:c_4:c_3:c_0:const
encode_1 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> c_1:c_5:c_2:c_4:c_3:c_0:const
encode_2 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> c_1:c_5:c_2:c_4:c_3:c_0:const
encode_3 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> c_1:c_5:c_2:c_4:c_3:c_0:const
encode_4 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> c_1:c_5:c_2:c_4:c_3:c_0:const
encode_5 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5 -> c_1:c_5:c_2:c_4:c_3:c_0:const
const :: c_1:c_5:c_2:c_4:c_3:c_0:const
const1 :: cons_0:cons_1:cons_2:cons_3:cons_4:cons_5

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

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

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

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

   4'(c_3(c_4(c_1(c_3(c_1(c_4(c_4(c_1(c_4(c_0(c_1(c_3(c_4(c_5(c_4(c_2(c_2(c_5(c_1(x1)))))))))))))))))))) -> 3'(4'(3'(3'(5'(3'(3'(2'(1'(2'(0'(4'(0'(3'(5'(1'(1'(0'(2'(0'(x1)))))))))))))))))))) [1]
   3'(c_1(c_3(c_0(c_1(c_4(c_1(c_3(c_4(c_0(c_2(c_1(c_1(c_4(c_5(c_4(c_0(c_0(c_1(c_3(x1)))))))))))))))))))) -> 4'(5'(1'(0'(4'(1'(5'(1'(0'(4'(5'(5'(1'(3'(0'(4'(5'(5'(1'(0'(x1)))))))))))))))))))) [1]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x145))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(x145))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_0(c_4(c_2(c_1(c_3(c_5(c_5(c_0(c_3(c_5(c_2(c_0(c_2(c_2(c_5(c_3(c_0(c_0(c_5(x146))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(3'(5'(5'(0'(3'(1'(5'(1'(0'(1'(3'(2'(0'(4'(3'(4'(5'(1'(4'(1'(x146))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_0(c_3(c_4(c_3(c_1(c_5(c_5(c_1(c_3(c_4(c_0(c_5(c_3(c_1(c_2(c_5(c_3(c_5(c_0(x147))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(4'(1'(0'(0'(1'(5'(1'(5'(1'(2'(0'(1'(5'(3'(4'(4'(5'(5'(1'(4'(x147))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_2(c_0(c_3(c_4(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_4(c_5(c_0(x148))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(1'(3'(2'(1'(5'(4'(1'(3'(3'(0'(3'(4'(1'(4'(5'(0'(1'(5'(0'(5'(x148))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_1(c_3(c_5(c_2(c_5(c_4(c_4(c_5(c_1(c_5(c_5(c_1(c_0(c_0(c_1(c_4(c_3(c_1(c_2(x149))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(0'(5'(5'(1'(5'(0'(3'(2'(3'(4'(5'(2'(1'(0'(0'(0'(1'(3'(5'(x149))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_5(c_1(c_1(c_1(c_3(c_3(c_5(c_2(c_4(c_1(c_1(c_1(c_1(c_3(c_3(c_0(c_5(c_4(c_4(x150))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(0'(5'(2'(1'(1'(1'(1'(4'(0'(5'(4'(3'(3'(5'(0'(4'(2'(1'(3'(0'(x150))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_3(c_3(c_2(c_0(c_3(c_4(c_3(c_2(c_5(c_0(c_2(c_5(c_0(c_3(c_0(c_5(c_1(c_5(c_5(x151))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(3'(1'(2'(3'(0'(1'(5'(1'(1'(5'(5'(1'(0'(0'(3'(5'(2'(1'(2'(1'(x151))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_0(c_5(c_0(c_2(c_0(c_4(c_3(c_4(c_2(c_3(c_4(c_2(c_1(c_5(c_4(c_0(c_1(c_3(c_5(x152))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(0'(3'(0'(5'(4'(2'(0'(3'(5'(1'(5'(4'(3'(0'(0'(0'(1'(5'(5'(x152))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_0(c_3(c_2(c_5(c_1(c_0(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_5(c_0(c_1(c_5(c_2(c_5(x153))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(1'(4'(4'(1'(1'(0'(3'(3'(3'(1'(3'(1'(1'(5'(0'(3'(5'(5'(1'(1'(x153))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_4(c_4(c_3(c_0(c_5(c_1(c_3(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_5(c_2(c_0(c_4(c_2(x154))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(4'(0'(5'(0'(3'(4'(3'(1'(1'(2'(2'(0'(2'(0'(2'(1'(1'(4'(0'(5'(x154))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_2(c_0(c_5(c_0(c_5(c_5(c_5(c_5(c_2(c_2(c_2(c_5(c_1(c_2(c_0(c_5(c_5(c_4(c_5(x155))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(1'(2'(3'(0'(1'(0'(4'(2'(1'(5'(0'(1'(0'(1'(5'(5'(5'(2'(3'(x155))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_5(c_1(c_1(c_0(c_0(c_1(c_2(c_4(c_2(c_4(c_1(c_3(x156))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(5'(3'(1'(3'(5'(1'(5'(0'(1'(0'(1'(0'(0'(0'(5'(5'(5'(1'(2'(x156))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_3(c_4(c_3(c_2(c_0(c_1(c_5(c_1(c_1(c_1(c_4(c_3(c_5(c_5(c_4(c_5(c_5(c_2(c_3(x157))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(1'(4'(4'(3'(2'(5'(5'(2'(5'(1'(4'(1'(1'(3'(3'(0'(5'(3'(1'(x157))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_0(c_1(c_3(c_2(c_1(c_1(c_4(c_4(c_3(c_4(c_3(c_1(c_5(c_5(c_1(c_2(c_2(c_4(c_5(x158))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(3'(1'(1'(2'(0'(1'(2'(1'(0'(3'(1'(1'(4'(5'(3'(5'(1'(1'(5'(1'(x158))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_1(c_2(c_1(c_3(c_0(c_3(c_5(c_5(c_2(c_2(c_3(c_3(c_1(c_5(c_2(c_0(c_0(c_5(c_3(x159))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(2'(0'(0'(1'(2'(4'(1'(3'(0'(0'(1'(5'(3'(4'(2'(4'(1'(2'(5'(0'(x159))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_2(c_3(c_4(c_3(c_2(c_0(c_1(c_1(c_2(c_3(c_1(c_5(c_1(c_1(c_4(c_1(c_4(c_4(c_3(x160))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(1'(0'(4'(3'(0'(1'(0'(1'(0'(2'(3'(4'(2'(2'(5'(5'(1'(0'(4'(x160))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_1(c_3(c_4(c_2(c_1(c_5(c_1(c_1(c_4(c_5(c_0(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_0(x161))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(0'(1'(5'(1'(4'(1'(5'(2'(0'(5'(5'(5'(1'(5'(1'(0'(0'(2'(0'(3'(x161))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(x162))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(5'(x162))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x1)))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(c_5(x1)))))))))))))))))))) [1]
   5'(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x1)))))))))))))))))))) -> 0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(const))))))))))))))))))) [1]
   3'(c_5(c_0(c_1(c_5(c_0(c_3(c_3(c_2(c_3(c_5(c_3(c_2(c_1(c_4(c_1(c_3(c_3(c_1(c_0(c_3(c_4(c_1(c_3(c_1(c_4(c_4(c_1(c_4(c_0(c_1(c_3(c_4(c_5(c_4(c_2(c_2(c_5(c_1(x163))))))))))))))))))))))))))))))))))))))) -> 5'(5'(0'(2'(0'(5'(1'(4'(5'(5'(1'(1'(2'(1'(3'(1'(5'(4'(0'(3'(4'(3'(3'(5'(3'(3'(2'(1'(2'(0'(4'(0'(3'(5'(1'(1'(0'(2'(0'(x163))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_0(c_1(c_5(c_0(c_3(c_3(c_2(c_3(c_5(c_3(c_2(c_1(c_4(c_1(c_3(c_3(c_1(c_0(c_0(c_3(c_4(c_3(c_0(c_5(c_0(c_3(c_0(c_2(c_3(c_3(c_1(c_0(c_3(c_0(c_4(c_0(c_5(x164))))))))))))))))))))))))))))))))))))))) -> 5'(5'(0'(2'(0'(5'(1'(4'(5'(5'(1'(1'(2'(1'(3'(1'(5'(4'(0'(0'(1'(4'(4'(3'(1'(1'(3'(4'(4'(0'(1'(3'(4'(5'(0'(1'(1'(0'(5'(x164))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_0(c_1(c_5(c_0(c_3(c_3(c_2(c_3(c_5(c_3(c_2(c_1(c_4(c_1(c_3(c_3(c_1(c_0(c_5(c_1(c_4(c_3(c_1(c_1(c_2(c_0(c_0(c_4(c_2(c_4(c_1(c_1(c_0(c_5(c_4(c_3(c_3(x165))))))))))))))))))))))))))))))))))))))) -> 5'(5'(0'(2'(0'(5'(1'(4'(5'(5'(1'(1'(2'(1'(3'(1'(5'(4'(0'(1'(3'(1'(1'(4'(3'(1'(2'(1'(5'(2'(2'(3'(3'(3'(1'(1'(0'(3'(4'(x165))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_0(c_1(c_5(c_0(c_3(c_3(c_2(c_3(c_5(c_3(c_2(c_1(c_4(c_1(c_3(c_3(c_1(c_0(c_4(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_3(c_2(c_4(c_5(c_1(c_0(c_3(c_0(c_5(c_4(c_0(x166))))))))))))))))))))))))))))))))))))))) -> 5'(5'(0'(2'(0'(5'(1'(4'(5'(5'(1'(1'(2'(1'(3'(1'(5'(4'(0'(1'(2'(1'(5'(4'(1'(0'(1'(2'(0'(2'(0'(4'(4'(5'(4'(3'(3'(4'(5'(x166))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_0(c_1(c_5(c_0(c_3(c_3(c_2(c_3(c_5(c_3(c_2(c_1(c_4(c_1(c_3(c_3(c_1(c_0(c_5(c_5(c_3(c_3(c_0(c_2(c_4(c_0(c_4(c_3(c_5(c_0(c_4(c_0(c_4(c_0(c_0(c_0(c_4(x167))))))))))))))))))))))))))))))))))))))) -> 5'(5'(0'(2'(0'(5'(1'(4'(5'(5'(1'(1'(2'(1'(3'(1'(5'(4'(0'(3'(2'(1'(4'(4'(0'(2'(1'(1'(0'(1'(1'(5'(2'(2'(5'(5'(0'(0'(2'(x167))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_0(c_1(c_5(c_0(c_3(c_3(c_2(c_3(c_5(c_3(c_2(c_1(c_4(c_1(c_3(c_3(c_1(c_0(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_4(c_5(c_1(c_2(c_0(c_5(c_0(x168))))))))))))))))))))))))))))))))))))))) -> 5'(5'(0'(2'(0'(5'(1'(4'(5'(5'(1'(1'(2'(1'(3'(1'(5'(4'(0'(5'(1'(0'(0'(1'(3'(0'(4'(1'(1'(0'(3'(1'(0'(1'(4'(1'(5'(0'(5'(x168))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_0(c_1(c_5(c_0(c_3(c_3(c_2(c_3(c_5(c_3(c_2(c_1(c_4(c_1(c_3(c_3(c_1(c_0(c_4(c_3(c_2(c_3(c_1(c_2(c_0(c_4(c_2(c_0(c_0(c_3(c_5(c_1(c_0(c_5(c_5(c_3(c_5(x169))))))))))))))))))))))))))))))))))))))) -> 5'(5'(0'(2'(0'(5'(1'(4'(5'(5'(1'(1'(2'(1'(3'(1'(5'(4'(0'(3'(2'(1'(5'(1'(3'(0'(1'(1'(0'(1'(5'(1'(1'(4'(1'(5'(5'(4'(1'(x169))))))))))))))))))))))))))))))))))))))) [2]
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   3'(c_3(c_4(c_5(c_3(c_0(c_5(c_0(c_1(c_3(c_2(c_2(c_5(c_0(c_3(c_3(c_2(c_2(c_0(c_5(x1)))))))))))))))))))) -> 0'(3'(1'(4'(0'(1'(3'(5'(3'(3'(1'(1'(5'(2'(1'(4'(5'(0'(3'(const))))))))))))))))))) [1]
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   5'(c_1(c_3(c_5(c_2(c_5(c_4(c_4(c_5(c_1(c_5(c_5(c_1(c_0(c_0(c_1(c_4(c_3(c_1(c_2(x1)))))))))))))))))))) -> 5'(0'(5'(5'(1'(5'(0'(3'(2'(3'(4'(5'(2'(1'(0'(0'(0'(1'(3'(const))))))))))))))))))) [1]
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   3'(c_4(c_2(c_4(c_1(c_1(c_1(c_3(c_0(c_1(c_0(c_3(c_2(c_3(c_2(c_1(c_4(c_3(c_2(c_0(x1)))))))))))))))))))) -> 5'(3'(4'(2'(1'(1'(0'(2'(0'(0'(1'(2'(5'(2'(0'(1'(3'(5'(0'(const))))))))))))))))))) [1]
   5'(c_5(c_1(c_1(c_1(c_3(c_3(c_5(c_2(c_4(c_1(c_1(c_1(c_1(c_3(c_3(c_0(c_5(c_4(c_4(x1)))))))))))))))))))) -> 0'(5'(2'(1'(1'(1'(1'(4'(0'(5'(4'(3'(3'(5'(0'(4'(2'(1'(3'(0'(x1)))))))))))))))))))) [1]
   3'(c_5(c_4(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_3(c_1(c_2(c_2(c_1(c_1(c_1(c_4(c_3(c_0(c_3(c_1(c_1(c_1(c_2(c_1(c_3(c_2(c_0(c_1(c_4(c_3(c_5(c_0(c_4(c_3(c_1(c_2(c_2(x1493))))))))))))))))))))))))))))))))))))))) -> 2'(5'(2'(1'(1'(1'(1'(1'(4'(1'(1'(3'(2'(1'(5'(0'(5'(0'(0'(1'(0'(4'(2'(0'(0'(5'(1'(0'(5'(5'(0'(3'(0'(0'(1'(0'(2'(5'(0'(x1493))))))))))))))))))))))))))))))))))))))) [2]
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   3'(c_0(c_4(c_3(c_3(c_5(c_3(c_2(c_3(c_3(c_5(c_0(c_4(c_2(c_0(c_0(c_3(c_0(c_0(c_0(x1)))))))))))))))))))) -> 5'(1'(2'(1'(5'(4'(3'(0'(3'(4'(1'(0'(0'(5'(1'(0'(0'(4'(5'(const))))))))))))))))))) [1]
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   0'(c_5(c_1(c_2(c_3(c_3(c_2(c_4(c_1(c_2(c_1(c_0(c_0(c_4(c_3(c_5(c_0(c_1(c_2(c_2(x1)))))))))))))))))))) -> 3'(2'(2'(1'(5'(3'(5'(0'(3'(5'(1'(5'(0'(0'(4'(1'(4'(3'(5'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_2(c_2(c_4(c_4(c_2(c_1(c_3(c_3(c_1(c_1(c_3(c_3(c_1(c_5(c_0(c_5(c_1(c_3(x1)))))))))))))))))))) -> 1'(1'(0'(1'(4'(3'(1'(3'(2'(0'(1'(5'(0'(5'(5'(4'(4'(4'(5'(0'(x1)))))))))))))))))))) [1]
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   1'(c_0(c_0(c_5(c_2(c_3(c_1(c_0(c_1(c_4(c_3(c_0(c_1(c_2(c_0(c_2(c_1(c_4(c_4(c_2(x1)))))))))))))))))))) -> 1'(3'(0'(5'(2'(2'(5'(3'(2'(1'(4'(0'(5'(1'(3'(3'(5'(0'(5'(1'(x1)))))))))))))))))))) [1]
   3'(c_4(c_2(c_5(c_5(c_0(c_3(c_0(c_0(c_0(c_3(c_4(c_1(c_1(c_0(c_1(c_1(c_5(c_3(c_1(x1)))))))))))))))))))) -> 3'(5'(5'(2'(0'(0'(0'(5'(0'(0'(0'(5'(5'(1'(0'(5'(0'(0'(0'(1'(x1)))))))))))))))))))) [1]
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   4'(c_5(c_5(c_3(c_3(c_0(c_2(c_4(c_0(c_4(c_3(c_5(c_0(c_4(c_0(c_4(c_0(c_0(c_0(c_4(x1)))))))))))))))))))) -> 3'(2'(1'(4'(4'(0'(2'(1'(1'(0'(1'(1'(5'(2'(2'(5'(5'(0'(0'(const))))))))))))))))))) [1]
   2'(c_5(c_1(c_3(c_0(c_5(c_3(c_5(c_1(c_2(c_4(c_4(c_1(c_2(c_0(c_0(c_5(c_2(c_1(c_5(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x11106))))))))))))))))))))))))))))))))))))))) -> 4'(2'(3'(1'(4'(3'(1'(5'(5'(2'(1'(2'(3'(3'(0'(4'(4'(5'(1'(0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(x11106))))))))))))))))))))))))))))))))))))))) [2]
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   2'(c_5(c_1(c_3(c_0(c_5(c_3(c_5(c_1(c_2(c_4(c_4(c_1(c_2(c_0(c_0(c_5(c_2(c_1(c_5(x1)))))))))))))))))))) -> 4'(2'(3'(1'(4'(3'(1'(5'(5'(2'(1'(2'(3'(3'(0'(4'(4'(5'(1'(const))))))))))))))))))) [1]
   4'(c_2(c_3(c_3(c_1(c_2(c_3(c_2(c_1(c_1(c_1(c_0(c_0(c_4(c_5(c_1(c_2(c_0(c_5(c_0(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x11124))))))))))))))))))))))))))))))))))))))) -> 5'(1'(0'(0'(1'(3'(0'(4'(1'(1'(0'(3'(1'(0'(1'(4'(1'(5'(0'(0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(x11124))))))))))))))))))))))))))))))))))))))) [2]
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   5'(c_4(c_4(c_3(c_0(c_5(c_1(c_3(c_1(c_0(c_1(c_1(c_3(c_0(c_3(c_5(c_2(c_0(c_4(c_2(x1)))))))))))))))))))) -> 4'(0'(5'(0'(3'(4'(3'(1'(1'(2'(2'(0'(2'(0'(2'(1'(1'(4'(0'(const))))))))))))))))))) [1]
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   0'(c_0(c_3(c_4(c_4(c_4(c_2(c_4(c_5(c_1(c_3(c_3(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_0(x1)))))))))))))))))))) -> 0'(5'(3'(1'(4'(4'(5'(2'(4'(3'(5'(1'(1'(0'(0'(4'(4'(1'(1'(const))))))))))))))))))) [1]
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   5'(c_2(c_0(c_5(c_0(c_5(c_5(c_5(c_5(c_2(c_2(c_2(c_5(c_1(c_2(c_0(c_5(c_5(c_4(c_5(c_1(c_3(c_0(c_1(c_4(c_1(c_3(c_4(c_0(c_2(c_1(c_1(c_4(c_5(c_4(c_0(c_0(c_1(c_3(x11279))))))))))))))))))))))))))))))))))))))) -> 5'(1'(2'(3'(0'(1'(0'(4'(2'(1'(5'(0'(1'(0'(1'(5'(5'(5'(2'(4'(5'(1'(0'(4'(1'(5'(1'(0'(4'(5'(5'(1'(3'(0'(4'(5'(5'(1'(0'(x11279))))))))))))))))))))))))))))))))))))))) [2]
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   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x11428))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(x11428))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_0(c_4(c_2(c_1(c_3(c_5(c_5(c_0(c_3(c_5(c_2(c_0(c_2(c_2(c_5(c_3(c_0(c_0(c_5(x11429))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(3'(5'(5'(0'(3'(1'(5'(1'(0'(1'(3'(2'(0'(4'(3'(4'(5'(1'(4'(1'(x11429))))))))))))))))))))))))))))))))))))))) [2]
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   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_2(c_0(c_3(c_4(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_4(c_5(c_0(x11431))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(1'(3'(2'(1'(5'(4'(1'(3'(3'(0'(3'(4'(1'(4'(5'(0'(1'(5'(0'(5'(x11431))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_1(c_3(c_5(c_2(c_5(c_4(c_4(c_5(c_1(c_5(c_5(c_1(c_0(c_0(c_1(c_4(c_3(c_1(c_2(x11432))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(5'(0'(5'(5'(1'(5'(0'(3'(2'(3'(4'(5'(2'(1'(0'(0'(0'(1'(3'(5'(x11432))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_5(c_1(c_1(c_1(c_3(c_3(c_5(c_2(c_4(c_1(c_1(c_1(c_1(c_3(c_3(c_0(c_5(c_4(c_4(x11433))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(0'(5'(2'(1'(1'(1'(1'(4'(0'(5'(4'(3'(3'(5'(0'(4'(2'(1'(3'(0'(x11433))))))))))))))))))))))))))))))))))))))) [2]
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   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_2(c_0(c_5(c_0(c_5(c_5(c_5(c_5(c_2(c_2(c_2(c_5(c_1(c_2(c_0(c_5(c_5(c_4(c_5(x11438))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(5'(1'(2'(3'(0'(1'(0'(4'(2'(1'(5'(0'(1'(0'(1'(5'(5'(5'(2'(3'(x11438))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_5(c_1(c_1(c_0(c_0(c_1(c_2(c_4(c_2(c_4(c_1(c_3(x11439))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(5'(5'(3'(1'(3'(5'(1'(5'(0'(1'(0'(1'(0'(0'(0'(5'(5'(5'(1'(2'(x11439))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_3(c_4(c_3(c_2(c_0(c_1(c_5(c_1(c_1(c_1(c_4(c_3(c_5(c_5(c_4(c_5(c_5(c_2(c_3(x11440))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(5'(1'(4'(4'(3'(2'(5'(5'(2'(5'(1'(4'(1'(1'(3'(3'(0'(5'(3'(1'(x11440))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_0(c_1(c_3(c_2(c_1(c_1(c_4(c_4(c_3(c_4(c_3(c_1(c_5(c_5(c_1(c_2(c_2(c_4(c_5(x11441))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(3'(1'(1'(2'(0'(1'(2'(1'(0'(3'(1'(1'(4'(5'(3'(5'(1'(1'(5'(1'(x11441))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_1(c_2(c_1(c_3(c_0(c_3(c_5(c_5(c_2(c_2(c_3(c_3(c_1(c_5(c_2(c_0(c_0(c_5(c_3(x11442))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(2'(0'(0'(1'(2'(4'(1'(3'(0'(0'(1'(5'(3'(4'(2'(4'(1'(2'(5'(0'(x11442))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_2(c_3(c_4(c_3(c_2(c_0(c_1(c_1(c_2(c_3(c_1(c_5(c_1(c_1(c_4(c_1(c_4(c_4(c_3(x11443))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(5'(1'(0'(4'(3'(0'(1'(0'(1'(0'(2'(3'(4'(2'(2'(5'(5'(1'(0'(4'(x11443))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_1(c_3(c_4(c_2(c_1(c_5(c_1(c_1(c_4(c_5(c_0(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_0(x11444))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(0'(1'(5'(1'(4'(1'(5'(2'(0'(5'(5'(5'(1'(5'(1'(0'(0'(2'(0'(3'(x11444))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(x11445))))))))))))))))))))))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(5'(x11445))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(x1)))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(c_5(x1)))))))))))))))))))) [1]
   3'(c_1(c_3(c_1(c_1(c_0(c_4(c_2(c_4(c_2(c_2(c_2(c_3(c_0(c_0(c_5(c_2(c_5(c_0(c_5(x1)))))))))))))))))))) -> 4'(1'(3'(3'(0'(1'(5'(4'(5'(2'(4'(3'(3'(5'(3'(1'(3'(4'(0'(const))))))))))))))))))) [1]
   3'(c_5(c_5(c_5(c_3(c_0(c_1(c_4(c_0(c_3(c_3(c_3(c_0(c_5(c_1(c_0(c_1(c_1(c_5(c_4(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x11446))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(3'(5'(1'(0'(1'(5'(0'(2'(0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(x11446))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_5(c_5(c_3(c_0(c_1(c_4(c_0(c_3(c_3(c_3(c_0(c_5(c_1(c_0(c_1(c_1(c_5(c_4(c_0(c_4(c_2(c_1(c_3(c_5(c_5(c_0(c_3(c_5(c_2(c_0(c_2(c_2(c_5(c_3(c_0(c_0(c_5(x11447))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(3'(5'(1'(0'(1'(5'(0'(2'(3'(5'(5'(0'(3'(1'(5'(1'(0'(1'(3'(2'(0'(4'(3'(4'(5'(1'(4'(1'(x11447))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_5(c_5(c_3(c_0(c_1(c_4(c_0(c_3(c_3(c_3(c_0(c_5(c_1(c_0(c_1(c_1(c_5(c_4(c_0(c_3(c_4(c_3(c_1(c_5(c_5(c_1(c_3(c_4(c_0(c_5(c_3(c_1(c_2(c_5(c_3(c_5(c_0(x11448))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(3'(5'(1'(0'(1'(5'(0'(2'(4'(1'(0'(0'(1'(5'(1'(5'(1'(2'(0'(1'(5'(3'(4'(4'(5'(5'(1'(4'(x11448))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_5(c_5(c_3(c_0(c_1(c_4(c_0(c_3(c_3(c_3(c_0(c_5(c_1(c_0(c_1(c_1(c_5(c_4(c_2(c_0(c_3(c_4(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_3(c_1(c_1(c_2(c_4(c_5(c_0(x11449))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(3'(5'(1'(0'(1'(5'(0'(2'(1'(3'(2'(1'(5'(4'(1'(3'(3'(0'(3'(4'(1'(4'(5'(0'(1'(5'(0'(5'(x11449))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_5(c_5(c_3(c_0(c_1(c_4(c_0(c_3(c_3(c_3(c_0(c_5(c_1(c_0(c_1(c_1(c_5(c_4(c_1(c_3(c_5(c_2(c_5(c_4(c_4(c_5(c_1(c_5(c_5(c_1(c_0(c_0(c_1(c_4(c_3(c_1(c_2(x11450))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(3'(5'(1'(0'(1'(5'(0'(2'(5'(0'(5'(5'(1'(5'(0'(3'(2'(3'(4'(5'(2'(1'(0'(0'(0'(1'(3'(5'(x11450))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_5(c_5(c_3(c_0(c_1(c_4(c_0(c_3(c_3(c_3(c_0(c_5(c_1(c_0(c_1(c_1(c_5(c_4(c_5(c_1(c_1(c_1(c_3(c_3(c_5(c_2(c_4(c_1(c_1(c_1(c_1(c_3(c_3(c_0(c_5(c_4(c_4(x11451))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(3'(5'(1'(0'(1'(5'(0'(2'(0'(5'(2'(1'(1'(1'(1'(4'(0'(5'(4'(3'(3'(5'(0'(4'(2'(1'(3'(0'(x11451))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_5(c_5(c_3(c_0(c_1(c_4(c_0(c_3(c_3(c_3(c_0(c_5(c_1(c_0(c_1(c_1(c_5(c_4(c_3(c_3(c_2(c_0(c_3(c_4(c_3(c_2(c_5(c_0(c_2(c_5(c_0(c_3(c_0(c_5(c_1(c_5(c_5(x11452))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(3'(5'(1'(0'(1'(5'(0'(2'(3'(1'(2'(3'(0'(1'(5'(1'(1'(5'(5'(1'(0'(0'(3'(5'(2'(1'(2'(1'(x11452))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_5(c_5(c_3(c_0(c_1(c_4(c_0(c_3(c_3(c_3(c_0(c_5(c_1(c_0(c_1(c_1(c_5(c_4(c_0(c_5(c_0(c_2(c_0(c_4(c_3(c_4(c_2(c_3(c_4(c_2(c_1(c_5(c_4(c_0(c_1(c_3(c_5(x11453))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(3'(5'(1'(0'(1'(5'(0'(2'(5'(0'(3'(0'(5'(4'(2'(0'(3'(5'(1'(5'(4'(3'(0'(0'(0'(1'(5'(5'(x11453))))))))))))))))))))))))))))))))))))))) [2]
   3'(c_5(c_5(c_5(c_3(c_0(c_1(c_4(c_0(c_3(c_3(c_3(c_0(c_5(c_1(c_0(c_1(c_1(c_5(c_4(c_0(c_3(c_2(c_5(c_1(c_0(c_4(c_3(c_3(c_0(c_1(c_3(c_2(c_5(c_0(c_1(c_5(c_2(c_5(x11454))))))))))))))))))))))))))))))))))))))) -> 4'(1'(1'(2'(2'(3'(1'(3'(1'(1'(3'(3'(5'(1'(0'(1'(5'(0'(2'(1'(4'(4'(1'(1'(0'(3'(3'(3'(1'(3'(1'(1'(5'(0'(3'(5'(5'(1'(1'(x11454))))))))))))))))))))))))))))))))))))))) [2]
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   3'(c_3(c_4(c_2(c_2(c_5(c_1(c_4(c_1(c_1(c_1(c_2(c_4(c_1(c_4(c_3(c_0(c_4(c_1(c_5(x1)))))))))))))))))))) -> 3'(0'(5'(1'(3'(3'(1'(4'(1'(3'(1'(2'(3'(5'(3'(3'(1'(4'(4'(const))))))))))))))))))) [1]
   5'(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(c_0(c_3(c_3(c_1(c_0(c_3(c_1(c_5(c_3(c_3(c_2(c_5(c_0(c_0(c_3(c_3(c_4(c_3(c_5(x11742))))))))))))))))))))))))))))))))))))))) -> 1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(0'(1'(0'(2'(3'(2'(0'(5'(1'(1'(2'(0'(1'(3'(4'(1'(4'(5'(4'(5'(x11742))))))))))))))))))))))))))))))))))))))) [2]
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   5'(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(c_0(c_3(c_3(c_2(c_0(c_1(c_0(c_5(c_1(c_1(c_0(c_0(c_1(c_2(c_4(c_2(c_4(c_1(c_3(x11753))))))))))))))))))))))))))))))))))))))) -> 1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(5'(5'(3'(1'(3'(5'(1'(5'(0'(1'(0'(1'(0'(0'(0'(5'(5'(5'(1'(2'(x11753))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(c_3(c_4(c_3(c_2(c_0(c_1(c_5(c_1(c_1(c_1(c_4(c_3(c_5(c_5(c_4(c_5(c_5(c_2(c_3(x11754))))))))))))))))))))))))))))))))))))))) -> 1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(5'(1'(4'(4'(3'(2'(5'(5'(2'(5'(1'(4'(1'(1'(3'(3'(0'(5'(3'(1'(x11754))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(c_0(c_1(c_3(c_2(c_1(c_1(c_4(c_4(c_3(c_4(c_3(c_1(c_5(c_5(c_1(c_2(c_2(c_4(c_5(x11755))))))))))))))))))))))))))))))))))))))) -> 1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(3'(1'(1'(2'(0'(1'(2'(1'(0'(3'(1'(1'(4'(5'(3'(5'(1'(1'(5'(1'(x11755))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(c_1(c_2(c_1(c_3(c_0(c_3(c_5(c_5(c_2(c_2(c_3(c_3(c_1(c_5(c_2(c_0(c_0(c_5(c_3(x11756))))))))))))))))))))))))))))))))))))))) -> 1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(2'(0'(0'(1'(2'(4'(1'(3'(0'(0'(1'(5'(3'(4'(2'(4'(1'(2'(5'(0'(x11756))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(c_2(c_3(c_4(c_3(c_2(c_0(c_1(c_1(c_2(c_3(c_1(c_5(c_1(c_1(c_4(c_1(c_4(c_4(c_3(x11757))))))))))))))))))))))))))))))))))))))) -> 1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(5'(1'(0'(4'(3'(0'(1'(0'(1'(0'(2'(3'(4'(2'(2'(5'(5'(1'(0'(4'(x11757))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(c_1(c_3(c_4(c_2(c_1(c_5(c_1(c_1(c_4(c_5(c_0(c_2(c_1(c_0(c_3(c_2(c_1(c_0(c_0(x11758))))))))))))))))))))))))))))))))))))))) -> 1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(0'(1'(5'(1'(4'(1'(5'(2'(0'(5'(5'(5'(1'(5'(1'(0'(0'(2'(0'(3'(x11758))))))))))))))))))))))))))))))))))))))) [2]
   5'(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(c_5(c_0(c_2(c_0(c_5(c_3(c_1(c_2(c_3(c_2(c_2(c_2(c_0(c_4(c_5(c_4(c_0(c_3(c_5(x11759))))))))))))))))))))))))))))))))))))))) -> 1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(1'(0'(4'(0'(2'(4'(3'(5'(5'(3'(1'(0'(2'(0'(3'(1'(2'(4'(5'(5'(x11759)))))))))))))))))))))))))))))))))))))))