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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 62 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 10 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 3018 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 53 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 8 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 4382 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 17 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 18 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 2961 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 4 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 24.2 s]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7733 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7788 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7732 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 21.9 s]
        (54) CdtProblem


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

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


The TRS R consists of the following rules:

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

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(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))


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

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


The TRS R consists of the following rules:

   0(0(0(1(0(0(1(2(1(2(2(2(0(2(2(0(1(2(0(1(1(1(1(x1))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(1(2(0(2(0(2(2(1(2(2(1(1(1(1(2(0(1(0(1(x1)))))))))))))))))))))))))))
   0(0(0(2(1(1(2(1(2(2(0(2(0(2(2(2(1(1(1(0(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(2(0(1(2(2(1(2(1(0(2(2(0(2(2(2(0(0(2(2(0(2(1(x1)))))))))))))))))))))))))))
   0(0(1(1(1(0(2(2(2(0(2(2(1(1(2(0(0(1(2(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(x1)))))))))))))))))))))))))))
   0(0(1(1(2(0(1(2(2(1(1(0(1(1(2(2(2(0(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(1(2(0(0(2(2(0(2(1(1(1(0(2(1(0(2(2(0(x1))))))))))))))))))))))) -> 0(1(1(1(1(2(0(1(1(2(1(1(2(1(2(2(1(2(2(2(0(2(1(2(1(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(1(2(0(2(2(2(1(1(2(0(0(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 0(2(2(2(1(0(0(2(0(2(1(2(1(2(1(2(2(1(2(2(1(1(2(0(1(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(2(0(2(0(2(0(2(0(0(0(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(x1)))))))))))))))))))))))))))
   0(0(2(2(0(1(1(0(2(0(1(0(1(2(2(1(0(2(2(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(2(2(1(2(0(1(0(2(2(1(2(1(2(2(0(1(2(2(0(2(1(2(2(0(2(x1)))))))))))))))))))))))))))
   0(0(2(2(2(1(2(1(1(1(2(1(1(2(1(0(0(2(0(2(0(2(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(x1)))))))))))))))))))))))))))
   0(0(2(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(1(1(0(1(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(0(1(2(1(2(0(1(1(1(1(2(0(1(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   0(1(0(0(2(0(2(0(1(0(2(0(0(1(2(2(0(1(2(0(2(1(2(x1))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(1(0(1(2(0(0(0(2(1(1(2(2(1(1(2(0(2(1(2(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(1(2(1(2(0(0(1(0(1(0(1(2(0(1(0(1(1(2(1(2(2(x1)))))))))))))))))))))))))))
   0(1(1(1(0(2(2(1(2(2(2(2(0(0(2(0(2(2(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
   0(1(1(1(1(2(0(1(2(0(2(2(0(0(0(1(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(x1)))))))))))))))))))))))))))
   0(1(1(2(2(0(0(0(2(0(0(2(1(2(1(2(0(2(2(1(2(1(1(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(0(2(2(2(2(1(0(2(2(1(2(2(2(2(0(0(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(1(2(0(1(1(1(1(1(0(2(1(2(2(1(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(1(2(0(1(2(2(2(2(2(2(0(2(2(2(2(2(1(2(1(0(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(1(2(0(1(2(0(1(1(2(2(0(1(2(2(1(1(1(2(0(0(0(2(x1))))))))))))))))))))))) -> 2(0(0(2(2(1(1(2(2(2(0(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(x1)))))))))))))))))))))))))))
   0(1(2(0(2(1(1(2(0(1(0(2(2(0(0(2(1(0(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(2(1(0(0(2(1(0(2(2(1(1(0(2(2(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))
   0(1(2(1(0(0(0(2(2(2(2(0(2(0(0(1(0(1(0(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(x1)))))))))))))))))))))))))))
   0(1(2(1(0(2(2(2(1(2(0(0(0(2(1(1(1(1(0(2(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))))
   0(1(2(1(1(2(2(2(1(2(1(2(0(2(0(1(2(0(1(0(1(0(0(x1))))))))))))))))))))))) -> 0(1(2(0(1(1(1(2(0(1(0(1(2(2(1(2(1(2(1(1(1(2(2(2(2(1(2(x1)))))))))))))))))))))))))))
   0(1(2(2(0(0(0(0(0(2(2(1(2(2(2(2(1(1(1(2(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(x1)))))))))))))))))))))))))))
   0(2(0(0(0(2(2(1(2(1(1(2(1(1(1(1(1(1(1(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(x1)))))))))))))))))))))))))))
   0(2(0(2(1(2(2(1(1(0(0(2(2(0(1(1(0(2(0(2(0(1(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(2(0(0(1(0(2(1(1(2(0(1(2(2(1(2(2(0(2(2(0(2(2(x1)))))))))))))))))))))))))))
   0(2(1(0(0(0(0(0(0(0(2(0(0(1(2(2(2(2(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(x1)))))))))))))))))))))))))))
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   2(2(0(2(1(1(2(1(2(1(1(1(1(2(1(1(0(1(0(1(0(0(2(x1))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(x1)))))))))))))))))))))))))))
   2(2(0(2(2(2(2(0(1(2(0(2(1(0(1(1(1(0(2(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(x1)))))))))))))))))))))))))))
   2(2(1(0(2(1(2(0(0(0(0(0(2(0(2(2(1(2(1(0(1(0(1(x1))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(x1)))))))))))))))))))))))))))
   2(2(1(1(2(0(0(0(1(0(0(0(0(2(1(0(2(2(1(2(2(1(0(x1))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(x1)))))))))))))))))))))))))))
   2(2(1(1(2(1(1(0(0(2(0(1(1(1(2(1(1(2(2(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(x1)))))))))))))))))))))))))))
   2(2(2(0(0(2(1(0(2(1(0(2(0(0(0(2(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(x1)))))))))))))))))))))))))))
   2(2(2(1(1(0(2(0(0(1(2(2(2(2(2(1(1(0(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(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))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   0(0(0(1(0(0(1(2(1(2(2(2(0(2(2(0(1(2(0(1(1(1(1(x1))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(1(2(0(2(0(2(2(1(2(2(1(1(1(1(2(0(1(0(1(x1)))))))))))))))))))))))))))
   0(0(0(2(1(1(2(1(2(2(0(2(0(2(2(2(1(1(1(0(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(2(0(1(2(2(1(2(1(0(2(2(0(2(2(2(0(0(2(2(0(2(1(x1)))))))))))))))))))))))))))
   0(0(1(1(1(0(2(2(2(0(2(2(1(1(2(0(0(1(2(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(x1)))))))))))))))))))))))))))
   0(0(1(1(2(0(1(2(2(1(1(0(1(1(2(2(2(0(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(1(2(0(0(2(2(0(2(1(1(1(0(2(1(0(2(2(0(x1))))))))))))))))))))))) -> 0(1(1(1(1(2(0(1(1(2(1(1(2(1(2(2(1(2(2(2(0(2(1(2(1(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(1(2(0(2(2(2(1(1(2(0(0(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 0(2(2(2(1(0(0(2(0(2(1(2(1(2(1(2(2(1(2(2(1(1(2(0(1(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(2(0(2(0(2(0(2(0(0(0(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(x1)))))))))))))))))))))))))))
   0(0(2(2(0(1(1(0(2(0(1(0(1(2(2(1(0(2(2(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(2(2(1(2(0(1(0(2(2(1(2(1(2(2(0(1(2(2(0(2(1(2(2(0(2(x1)))))))))))))))))))))))))))
   0(0(2(2(2(1(2(1(1(1(2(1(1(2(1(0(0(2(0(2(0(2(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(x1)))))))))))))))))))))))))))
   0(0(2(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(1(1(0(1(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(0(1(2(1(2(0(1(1(1(1(2(0(1(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   0(1(0(0(2(0(2(0(1(0(2(0(0(1(2(2(0(1(2(0(2(1(2(x1))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(1(0(1(2(0(0(0(2(1(1(2(2(1(1(2(0(2(1(2(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(1(2(1(2(0(0(1(0(1(0(1(2(0(1(0(1(1(2(1(2(2(x1)))))))))))))))))))))))))))
   0(1(1(1(0(2(2(1(2(2(2(2(0(0(2(0(2(2(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
   0(1(1(1(1(2(0(1(2(0(2(2(0(0(0(1(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(x1)))))))))))))))))))))))))))
   0(1(1(2(2(0(0(0(2(0(0(2(1(2(1(2(0(2(2(1(2(1(1(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(0(2(2(2(2(1(0(2(2(1(2(2(2(2(0(0(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(1(2(0(1(1(1(1(1(0(2(1(2(2(1(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(1(2(0(1(2(2(2(2(2(2(0(2(2(2(2(2(1(2(1(0(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(1(2(0(1(2(0(1(1(2(2(0(1(2(2(1(1(1(2(0(0(0(2(x1))))))))))))))))))))))) -> 2(0(0(2(2(1(1(2(2(2(0(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(x1)))))))))))))))))))))))))))
   0(1(2(0(2(1(1(2(0(1(0(2(2(0(0(2(1(0(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(2(1(0(0(2(1(0(2(2(1(1(0(2(2(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))
   0(1(2(1(0(0(0(2(2(2(2(0(2(0(0(1(0(1(0(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(x1)))))))))))))))))))))))))))
   0(1(2(1(0(2(2(2(1(2(0(0(0(2(1(1(1(1(0(2(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))))
   0(1(2(1(1(2(2(2(1(2(1(2(0(2(0(1(2(0(1(0(1(0(0(x1))))))))))))))))))))))) -> 0(1(2(0(1(1(1(2(0(1(0(1(2(2(1(2(1(2(1(1(1(2(2(2(2(1(2(x1)))))))))))))))))))))))))))
   0(1(2(2(0(0(0(0(0(2(2(1(2(2(2(2(1(1(1(2(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(x1)))))))))))))))))))))))))))
   0(2(0(0(0(2(2(1(2(1(1(2(1(1(1(1(1(1(1(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(x1)))))))))))))))))))))))))))
   0(2(0(2(1(2(2(1(1(0(0(2(2(0(1(1(0(2(0(2(0(1(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(2(0(0(1(0(2(1(1(2(0(1(2(2(1(2(2(0(2(2(0(2(2(x1)))))))))))))))))))))))))))
   0(2(1(0(0(0(0(0(0(0(2(0(0(1(2(2(2(2(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(x1)))))))))))))))))))))))))))
   0(2(1(0(2(0(0(2(1(2(1(0(2(0(0(2(1(2(1(1(2(1(1(x1))))))))))))))))))))))) -> 1(1(2(2(2(2(1(2(2(2(2(1(1(0(0(1(1(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
   0(2(1(1(0(2(2(0(1(1(0(0(2(1(0(1(2(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(2(0(2(1(2(2(0(1(0(1(2(0(0(2(1(1(0(2(x1)))))))))))))))))))))))))))
   0(2(1(1(2(2(0(0(0(2(0(0(2(1(1(2(1(2(0(0(1(2(2(x1))))))))))))))))))))))) -> 2(2(1(1(1(0(2(2(2(1(2(1(0(2(0(0(0(2(1(2(2(2(1(2(2(2(2(x1)))))))))))))))))))))))))))
   0(2(2(0(2(1(2(0(1(1(2(0(0(0(0(2(2(2(2(0(0(2(0(x1))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(x1)))))))))))))))))))))))))))
   0(2(2(1(0(0(1(2(2(0(1(2(0(2(1(0(1(2(0(2(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(2(2(1(0(1(2(1(2(1(2(2(1(2(1(2(0(0(1(0(2(0(2(2(x1)))))))))))))))))))))))))))
   0(2(2(1(2(0(1(1(2(1(1(1(0(0(0(0(2(0(1(2(0(1(1(x1))))))))))))))))))))))) -> 0(2(2(1(2(0(1(2(1(2(0(0(0(1(2(2(1(0(1(0(1(1(2(2(0(1(1(x1)))))))))))))))))))))))))))
   0(2(2(2(0(1(2(2(2(2(1(0(0(0(2(2(1(1(1(1(1(0(2(x1))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(2(2(2(1(0(1(1(0(2(2(0(2(1(0(1(0(2(2(2(2(2(2(x1))))))))))))))))))))))) -> 2(1(2(2(2(1(0(2(1(2(2(1(2(0(1(2(1(1(0(2(2(1(1(2(1(0(2(x1)))))))))))))))))))))))))))
   0(2(2(2(2(0(0(1(0(1(0(1(2(0(2(0(0(2(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(1(2(2(0(1(2(0(1(1(2(2(2(0(1(2(2(2(2(1(2(1(1(2(x1)))))))))))))))))))))))))))
   1(0(1(0(0(0(0(1(2(2(2(1(1(2(2(0(1(2(1(1(2(1(2(x1))))))))))))))))))))))) -> 2(2(2(0(2(2(2(2(0(0(0(2(2(2(2(2(0(2(1(1(1(1(2(0(1(2(2(x1)))))))))))))))))))))))))))
   1(0(1(0(2(1(0(0(1(0(1(2(2(1(1(2(2(1(2(0(1(2(2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(x1)))))))))))))))))))))))))))
   1(0(1(0(2(1(2(2(0(0(0(2(0(2(2(2(2(2(0(2(2(1(1(x1))))))))))))))))))))))) -> 1(0(2(2(2(2(1(2(1(2(0(2(2(2(1(0(2(0(1(2(2(2(1(2(0(0(2(x1)))))))))))))))))))))))))))
   1(0(1(1(2(2(1(1(2(2(1(1(2(0(2(2(0(2(2(1(2(1(2(x1))))))))))))))))))))))) -> 0(0(2(0(1(2(2(0(1(2(0(1(2(2(0(0(2(1(2(1(2(2(1(2(2(1(2(x1)))))))))))))))))))))))))))
   1(0(1(2(1(1(1(0(2(1(1(0(1(2(2(0(1(2(2(0(2(1(2(x1))))))))))))))))))))))) -> 1(1(1(1(2(1(2(1(2(2(2(2(2(0(0(2(2(2(0(0(0(0(1(2(0(1(2(x1)))))))))))))))))))))))))))
   1(0(2(0(1(0(2(1(2(2(2(1(1(2(2(2(1(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 0(2(0(2(1(2(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(x1)))))))))))))))))))))))))))
   1(0(2(1(1(0(0(2(2(0(1(2(2(1(2(0(1(1(1(0(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(1(2(2(0(2(1(2(2(0(2(2(2(1(1(2(1(1(0(0(1(2(2(1(x1)))))))))))))))))))))))))))
   1(0(2(2(1(1(0(2(0(2(2(0(0(0(1(2(2(2(0(1(0(1(2(x1))))))))))))))))))))))) -> 2(2(2(1(0(0(2(1(2(0(2(1(2(1(2(0(0(1(2(2(1(2(1(0(1(0(2(x1)))))))))))))))))))))))))))
   1(0(2(2(1(2(0(1(1(0(2(2(2(2(1(2(0(2(0(0(2(1(1(x1))))))))))))))))))))))) -> 1(0(2(1(2(1(2(2(2(2(1(1(2(2(2(2(0(2(0(2(0(2(1(2(1(1(2(x1)))))))))))))))))))))))))))
   1(0(2(2(2(0(2(2(2(1(0(1(1(0(0(1(0(1(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(0(1(2(1(2(1(2(0(1(1(0(2(2(1(2(2(1(2(2(2(x1)))))))))))))))))))))))))))
   1(2(0(0(1(2(1(1(0(0(0(1(1(0(1(2(2(0(0(0(0(2(2(x1))))))))))))))))))))))) -> 1(2(1(0(2(0(2(0(0(0(0(1(2(0(1(2(0(0(1(2(2(0(0(2(2(0(2(x1)))))))))))))))))))))))))))
   1(2(0(0(2(1(2(2(1(2(2(0(2(0(0(1(0(0(2(1(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(2(2(2(1(2(1(0(0(0(0(1(2(1(2(0(1(2(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   1(2(0(1(0(0(2(1(2(1(0(2(2(2(1(0(2(1(2(0(1(1(1(x1))))))))))))))))))))))) -> 1(2(2(2(1(2(0(2(1(2(0(0(2(0(1(2(2(1(0(0(0(2(2(1(2(1(2(x1)))))))))))))))))))))))))))
   1(2(0(1(2(2(1(1(1(0(2(1(2(0(1(1(1(0(1(1(2(2(2(x1))))))))))))))))))))))) -> 2(0(1(2(0(0(2(2(0(2(1(1(1(2(0(0(2(2(2(1(2(0(2(2(2(2(2(x1)))))))))))))))))))))))))))
   1(2(0(2(0(0(0(1(1(2(2(2(1(2(0(0(0(0(1(2(2(0(2(x1))))))))))))))))))))))) -> 0(1(2(0(2(2(0(2(1(2(1(2(1(1(0(2(2(1(1(0(2(2(1(2(1(2(2(x1)))))))))))))))))))))))))))
   1(2(1(1(0(2(1(2(1(2(0(0(1(0(2(2(0(2(0(2(1(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(0(1(2(1(0(0(1(1(0(2(2(2(1(2(1(2(0(2(1(2(2(0(2(x1)))))))))))))))))))))))))))
   1(2(1(1(2(1(0(1(1(2(0(2(1(2(1(2(2(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 1(0(0(0(2(1(1(1(2(1(2(0(0(2(2(2(2(1(2(2(1(2(0(2(1(2(1(x1)))))))))))))))))))))))))))
   1(2(1(2(1(1(1(2(1(2(1(1(0(2(1(0(1(2(0(0(2(0(2(x1))))))))))))))))))))))) -> 1(2(1(0(1(0(0(1(0(0(1(2(0(1(2(2(2(1(2(2(2(2(1(1(2(2(2(x1)))))))))))))))))))))))))))
   1(2(2(0(0(2(2(1(0(2(0(2(2(2(1(1(1(0(2(0(0(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(2(2(1(2(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(x1)))))))))))))))))))))))))))
   1(2(2(1(0(0(1(0(2(1(0(0(2(2(0(2(1(0(2(1(2(1(2(x1))))))))))))))))))))))) -> 2(2(0(0(2(1(2(0(2(1(1(2(1(1(0(2(2(1(2(2(1(0(1(2(2(2(2(x1)))))))))))))))))))))))))))
   2(0(0(0(1(2(0(0(1(0(0(0(1(1(0(2(0(2(2(2(2(0(2(x1))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(x1)))))))))))))))))))))))))))
   2(0(0(0(2(0(1(0(0(1(0(2(1(1(1(0(2(2(0(2(1(0(2(x1))))))))))))))))))))))) -> 2(2(1(0(1(1(1(2(2(1(1(2(0(2(0(0(1(1(1(1(2(2(2(1(0(2(2(x1)))))))))))))))))))))))))))
   2(0(0(2(0(1(1(0(1(0(0(0(1(1(2(2(2(1(2(2(2(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(0(0(0(0(2(2(1(2(1(0(0(1(2(2(1(2(2(2(x1)))))))))))))))))))))))))))
   2(0(0(2(0(2(0(0(0(0(0(2(0(1(1(2(2(0(0(2(0(1(1(x1))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(x1)))))))))))))))))))))))))))
   2(0(1(0(0(0(1(1(2(1(2(1(1(2(2(2(2(1(1(2(1(1(2(x1))))))))))))))))))))))) -> 2(0(0(2(0(0(0(2(2(2(0(2(1(2(0(2(2(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))))))))))))
   2(0(1(0(0(0(2(2(2(0(0(2(0(2(0(2(2(1(0(2(1(1(2(x1))))))))))))))))))))))) -> 2(0(1(2(2(0(2(2(2(2(0(2(0(2(1(1(1(1(0(1(2(2(2(2(1(1(2(x1)))))))))))))))))))))))))))
   2(0(1(1(0(1(2(0(1(0(0(2(1(1(0(2(1(1(1(1(1(2(1(x1))))))))))))))))))))))) -> 2(1(0(2(2(1(0(2(0(2(1(1(0(0(2(0(2(1(1(1(1(1(2(2(2(2(1(x1)))))))))))))))))))))))))))
   2(0(1(1(1(1(2(1(2(0(2(0(0(2(2(1(2(1(2(1(1(0(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(x1)))))))))))))))))))))))))))
   2(0(1(2(0(1(2(1(0(0(0(0(2(2(1(0(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(x1)))))))))))))))))))))))))))
   2(0(1(2(1(0(2(2(1(0(2(2(2(1(1(1(2(1(0(1(0(2(2(x1))))))))))))))))))))))) -> 2(1(2(2(2(1(2(1(2(1(0(2(2(2(2(1(2(1(2(2(2(2(0(1(0(0(2(x1)))))))))))))))))))))))))))
   2(0(1(2(2(1(0(1(2(1(1(0(0(2(1(1(1(0(1(2(1(1(0(x1))))))))))))))))))))))) -> 2(2(1(1(0(1(0(2(2(1(1(0(0(0(2(2(2(0(1(1(2(1(2(0(2(2(2(x1)))))))))))))))))))))))))))
   2(0(1(2(2(1(2(2(1(1(0(2(0(0(0(1(0(0(2(2(1(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(x1)))))))))))))))))))))))))))
   2(0(2(0(2(1(2(0(1(2(2(1(0(1(1(0(1(2(1(0(0(0(0(x1))))))))))))))))))))))) -> 2(0(2(1(1(0(2(2(0(1(0(0(1(2(2(2(1(2(2(1(2(1(1(1(0(2(0(x1)))))))))))))))))))))))))))
   2(0(2(1(0(2(2(0(2(0(1(1(0(2(2(2(0(0(1(0(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(x1)))))))))))))))))))))))))))
   2(0(2(1(1(0(2(1(0(0(2(1(1(1(2(2(2(1(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(x1)))))))))))))))))))))))))))
   2(0(2(2(0(0(0(2(0(2(1(2(2(0(0(0(0(1(0(0(1(1(2(x1))))))))))))))))))))))) -> 2(0(0(0(0(1(2(1(0(2(2(1(2(2(0(0(2(1(0(0(2(1(2(1(1(2(2(x1)))))))))))))))))))))))))))
   2(0(2(2(1(0(2(2(0(0(2(1(0(2(1(1(0(1(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(2(1(1(0(2(1(2(2(2(2(2(0(0(0(0(0(1(1(1(2(2(x1)))))))))))))))))))))))))))
   2(0(2(2(2(1(2(2(0(0(0(1(2(1(1(2(2(1(0(2(0(1(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(1(2(0(1(0(2(0(2(2(2(1(0(0(1(2(1(2(2(2(x1)))))))))))))))))))))))))))
   2(1(0(0(1(1(0(2(1(1(0(2(0(2(2(2(0(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(x1)))))))))))))))))))))))))))
   2(1(0(1(2(2(0(0(1(1(2(2(2(1(0(2(2(0(1(2(2(2(0(x1))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
   2(1(1(0(0(0(0(2(0(1(2(0(2(0(1(2(1(2(0(2(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(x1)))))))))))))))))))))))))))
   2(1(1(2(1(2(1(1(0(2(0(0(1(0(2(2(0(2(0(0(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(0(2(2(1(0(2(2(2(0(1(2(2(2(0(0(0(1(1(2(x1)))))))))))))))))))))))))))
   2(1(2(0(0(0(1(0(2(2(0(0(1(1(1(2(0(2(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(x1)))))))))))))))))))))))))))
   2(1(2(0(0(2(1(0(1(2(2(1(1(0(1(2(1(2(0(0(0(2(1(x1))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(x1)))))))))))))))))))))))))))
   2(1(2(0(1(0(2(2(0(1(1(1(1(0(2(2(2(0(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(1(1(1(2(1(2(0(1(1(2(1(0(2(2(1(2(1(2(0(1(0(x1)))))))))))))))))))))))))))
   2(1(2(0(1(2(0(1(0(0(1(0(0(0(1(2(1(0(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(2(2(0(2(0(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(x1)))))))))))))))))))))))))))
   2(1(2(1(1(2(2(2(0(2(0(2(0(2(2(0(1(2(0(0(1(0(0(x1))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   2(1(2(1(2(1(1(1(1(0(1(0(0(2(2(1(1(2(0(0(2(0(2(x1))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(x1)))))))))))))))))))))))))))
   2(1(2(1(2(1(2(2(0(1(0(1(1(1(2(1(0(1(1(2(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(1(2(2(1(2(2(1(2(1(1(0(0(2(1(2(1(2(0(1(2(1(x1)))))))))))))))))))))))))))
   2(1(2(1(2(2(2(0(2(1(0(1(1(2(1(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(2(0(0(1(2(2(0(1(2(1(2(1(2(2(0(0(1(0(2(x1)))))))))))))))))))))))))))
   2(1(2(2(1(2(0(1(0(0(2(2(2(0(0(1(1(1(1(0(0(1(0(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(1(2(0(2(1(2(1(1(2(0(0(2(0(2(0(2(1(2(0(x1)))))))))))))))))))))))))))
   2(2(0(0(2(0(0(0(0(2(1(0(0(2(2(2(1(2(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(x1)))))))))))))))))))))))))))
   2(2(0(0(2(1(1(1(1(1(1(0(2(1(0(0(2(2(1(1(0(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(2(2(2(0(2(2(1(1(1(2(x1)))))))))))))))))))))))))))
   2(2(0(1(1(1(2(1(0(0(0(0(2(1(1(1(0(0(0(2(1(0(2(x1))))))))))))))))))))))) -> 2(1(1(1(0(1(0(0(1(1(1(0(1(0(2(0(1(2(1(2(1(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   2(2(0(2(1(1(2(1(2(1(1(1(1(2(1(1(0(1(0(1(0(0(2(x1))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(x1)))))))))))))))))))))))))))
   2(2(0(2(2(2(2(0(1(2(0(2(1(0(1(1(1(0(2(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(x1)))))))))))))))))))))))))))
   2(2(1(0(2(1(2(0(0(0(0(0(2(0(2(2(1(2(1(0(1(0(1(x1))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(x1)))))))))))))))))))))))))))
   2(2(1(1(2(0(0(0(1(0(0(0(0(2(1(0(2(2(1(2(2(1(0(x1))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(x1)))))))))))))))))))))))))))
   2(2(1(1(2(1(1(0(0(2(0(1(1(1(2(1(1(2(2(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(x1)))))))))))))))))))))))))))
   2(2(2(0(0(2(1(0(2(1(0(2(0(0(0(2(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(x1)))))))))))))))))))))))))))
   2(2(2(1(1(0(2(0(0(1(2(2(2(2(2(1(1(0(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(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))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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

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


The TRS R consists of the following rules:

   0(0(0(1(0(0(1(2(1(2(2(2(0(2(2(0(1(2(0(1(1(1(1(x1))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(1(2(0(2(0(2(2(1(2(2(1(1(1(1(2(0(1(0(1(x1)))))))))))))))))))))))))))
   0(0(0(2(1(1(2(1(2(2(0(2(0(2(2(2(1(1(1(0(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(2(0(1(2(2(1(2(1(0(2(2(0(2(2(2(0(0(2(2(0(2(1(x1)))))))))))))))))))))))))))
   0(0(1(1(1(0(2(2(2(0(2(2(1(1(2(0(0(1(2(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(x1)))))))))))))))))))))))))))
   0(0(1(1(2(0(1(2(2(1(1(0(1(1(2(2(2(0(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(1(2(0(0(2(2(0(2(1(1(1(0(2(1(0(2(2(0(x1))))))))))))))))))))))) -> 0(1(1(1(1(2(0(1(1(2(1(1(2(1(2(2(1(2(2(2(0(2(1(2(1(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(1(2(0(2(2(2(1(1(2(0(0(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 0(2(2(2(1(0(0(2(0(2(1(2(1(2(1(2(2(1(2(2(1(1(2(0(1(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(2(0(2(0(2(0(2(0(0(0(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(x1)))))))))))))))))))))))))))
   0(0(2(2(0(1(1(0(2(0(1(0(1(2(2(1(0(2(2(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(2(2(1(2(0(1(0(2(2(1(2(1(2(2(0(1(2(2(0(2(1(2(2(0(2(x1)))))))))))))))))))))))))))
   0(0(2(2(2(1(2(1(1(1(2(1(1(2(1(0(0(2(0(2(0(2(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(x1)))))))))))))))))))))))))))
   0(0(2(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(1(1(0(1(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(0(1(2(1(2(0(1(1(1(1(2(0(1(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   0(1(0(0(2(0(2(0(1(0(2(0(0(1(2(2(0(1(2(0(2(1(2(x1))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(1(0(1(2(0(0(0(2(1(1(2(2(1(1(2(0(2(1(2(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(1(2(1(2(0(0(1(0(1(0(1(2(0(1(0(1(1(2(1(2(2(x1)))))))))))))))))))))))))))
   0(1(1(1(0(2(2(1(2(2(2(2(0(0(2(0(2(2(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
   0(1(1(1(1(2(0(1(2(0(2(2(0(0(0(1(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(x1)))))))))))))))))))))))))))
   0(1(1(2(2(0(0(0(2(0(0(2(1(2(1(2(0(2(2(1(2(1(1(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(0(2(2(2(2(1(0(2(2(1(2(2(2(2(0(0(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(1(2(0(1(1(1(1(1(0(2(1(2(2(1(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(1(2(0(1(2(2(2(2(2(2(0(2(2(2(2(2(1(2(1(0(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(1(2(0(1(2(0(1(1(2(2(0(1(2(2(1(1(1(2(0(0(0(2(x1))))))))))))))))))))))) -> 2(0(0(2(2(1(1(2(2(2(0(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(x1)))))))))))))))))))))))))))
   0(1(2(0(2(1(1(2(0(1(0(2(2(0(0(2(1(0(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(2(1(0(0(2(1(0(2(2(1(1(0(2(2(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))
   0(1(2(1(0(0(0(2(2(2(2(0(2(0(0(1(0(1(0(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(x1)))))))))))))))))))))))))))
   0(1(2(1(0(2(2(2(1(2(0(0(0(2(1(1(1(1(0(2(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))))
   0(1(2(1(1(2(2(2(1(2(1(2(0(2(0(1(2(0(1(0(1(0(0(x1))))))))))))))))))))))) -> 0(1(2(0(1(1(1(2(0(1(0(1(2(2(1(2(1(2(1(1(1(2(2(2(2(1(2(x1)))))))))))))))))))))))))))
   0(1(2(2(0(0(0(0(0(2(2(1(2(2(2(2(1(1(1(2(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(x1)))))))))))))))))))))))))))
   0(2(0(0(0(2(2(1(2(1(1(2(1(1(1(1(1(1(1(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(x1)))))))))))))))))))))))))))
   0(2(0(2(1(2(2(1(1(0(0(2(2(0(1(1(0(2(0(2(0(1(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(2(0(0(1(0(2(1(1(2(0(1(2(2(1(2(2(0(2(2(0(2(2(x1)))))))))))))))))))))))))))
   0(2(1(0(0(0(0(0(0(0(2(0(0(1(2(2(2(2(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(x1)))))))))))))))))))))))))))
   0(2(1(0(2(0(0(2(1(2(1(0(2(0(0(2(1(2(1(1(2(1(1(x1))))))))))))))))))))))) -> 1(1(2(2(2(2(1(2(2(2(2(1(1(0(0(1(1(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
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   2(2(0(2(2(2(2(0(1(2(0(2(1(0(1(1(1(0(2(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(x1)))))))))))))))))))))))))))
   2(2(1(0(2(1(2(0(0(0(0(0(2(0(2(2(1(2(1(0(1(0(1(x1))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(x1)))))))))))))))))))))))))))
   2(2(1(1(2(0(0(0(1(0(0(0(0(2(1(0(2(2(1(2(2(1(0(x1))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(x1)))))))))))))))))))))))))))
   2(2(1(1(2(1(1(0(0(2(0(1(1(1(2(1(1(2(2(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(x1)))))))))))))))))))))))))))
   2(2(2(0(0(2(1(0(2(1(0(2(0(0(0(2(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(x1)))))))))))))))))))))))))))
   2(2(2(1(1(0(2(0(0(1(2(2(2(2(2(1(1(0(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(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))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   0(0(0(1(0(0(1(2(1(2(2(2(0(2(2(0(1(2(0(1(1(1(1(x1))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(1(2(0(2(0(2(2(1(2(2(1(1(1(1(2(0(1(0(1(x1)))))))))))))))))))))))))))
   0(0(0(2(1(1(2(1(2(2(0(2(0(2(2(2(1(1(1(0(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(2(0(1(2(2(1(2(1(0(2(2(0(2(2(2(0(0(2(2(0(2(1(x1)))))))))))))))))))))))))))
   0(0(1(1(1(0(2(2(2(0(2(2(1(1(2(0(0(1(2(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(x1)))))))))))))))))))))))))))
   0(0(1(1(2(0(1(2(2(1(1(0(1(1(2(2(2(0(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(1(2(0(0(2(2(0(2(1(1(1(0(2(1(0(2(2(0(x1))))))))))))))))))))))) -> 0(1(1(1(1(2(0(1(1(2(1(1(2(1(2(2(1(2(2(2(0(2(1(2(1(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(1(2(0(2(2(2(1(1(2(0(0(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 0(2(2(2(1(0(0(2(0(2(1(2(1(2(1(2(2(1(2(2(1(1(2(0(1(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(2(0(2(0(2(0(2(0(0(0(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(x1)))))))))))))))))))))))))))
   0(0(2(2(0(1(1(0(2(0(1(0(1(2(2(1(0(2(2(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(2(2(1(2(0(1(0(2(2(1(2(1(2(2(0(1(2(2(0(2(1(2(2(0(2(x1)))))))))))))))))))))))))))
   0(0(2(2(2(1(2(1(1(1(2(1(1(2(1(0(0(2(0(2(0(2(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(x1)))))))))))))))))))))))))))
   0(0(2(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(1(1(0(1(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(0(1(2(1(2(0(1(1(1(1(2(0(1(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   0(1(0(0(2(0(2(0(1(0(2(0(0(1(2(2(0(1(2(0(2(1(2(x1))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(1(0(1(2(0(0(0(2(1(1(2(2(1(1(2(0(2(1(2(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(1(2(1(2(0(0(1(0(1(0(1(2(0(1(0(1(1(2(1(2(2(x1)))))))))))))))))))))))))))
   0(1(1(1(0(2(2(1(2(2(2(2(0(0(2(0(2(2(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
   0(1(1(1(1(2(0(1(2(0(2(2(0(0(0(1(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(x1)))))))))))))))))))))))))))
   0(1(1(2(2(0(0(0(2(0(0(2(1(2(1(2(0(2(2(1(2(1(1(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(0(2(2(2(2(1(0(2(2(1(2(2(2(2(0(0(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(1(2(0(1(1(1(1(1(0(2(1(2(2(1(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(1(2(0(1(2(2(2(2(2(2(0(2(2(2(2(2(1(2(1(0(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(1(2(0(1(2(0(1(1(2(2(0(1(2(2(1(1(1(2(0(0(0(2(x1))))))))))))))))))))))) -> 2(0(0(2(2(1(1(2(2(2(0(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(x1)))))))))))))))))))))))))))
   0(1(2(0(2(1(1(2(0(1(0(2(2(0(0(2(1(0(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(2(1(0(0(2(1(0(2(2(1(1(0(2(2(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))
   0(1(2(1(0(0(0(2(2(2(2(0(2(0(0(1(0(1(0(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(x1)))))))))))))))))))))))))))
   0(1(2(1(0(2(2(2(1(2(0(0(0(2(1(1(1(1(0(2(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))))
   0(1(2(1(1(2(2(2(1(2(1(2(0(2(0(1(2(0(1(0(1(0(0(x1))))))))))))))))))))))) -> 0(1(2(0(1(1(1(2(0(1(0(1(2(2(1(2(1(2(1(1(1(2(2(2(2(1(2(x1)))))))))))))))))))))))))))
   0(1(2(2(0(0(0(0(0(2(2(1(2(2(2(2(1(1(1(2(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(x1)))))))))))))))))))))))))))
   0(2(0(0(0(2(2(1(2(1(1(2(1(1(1(1(1(1(1(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(x1)))))))))))))))))))))))))))
   0(2(0(2(1(2(2(1(1(0(0(2(2(0(1(1(0(2(0(2(0(1(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(2(0(0(1(0(2(1(1(2(0(1(2(2(1(2(2(0(2(2(0(2(2(x1)))))))))))))))))))))))))))
   0(2(1(0(0(0(0(0(0(0(2(0(0(1(2(2(2(2(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(x1)))))))))))))))))))))))))))
   0(2(1(0(2(0(0(2(1(2(1(0(2(0(0(2(1(2(1(1(2(1(1(x1))))))))))))))))))))))) -> 1(1(2(2(2(2(1(2(2(2(2(1(1(0(0(1(1(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
   0(2(1(1(0(2(2(0(1(1(0(0(2(1(0(1(2(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(2(0(2(1(2(2(0(1(0(1(2(0(0(2(1(1(0(2(x1)))))))))))))))))))))))))))
   0(2(1(1(2(2(0(0(0(2(0(0(2(1(1(2(1(2(0(0(1(2(2(x1))))))))))))))))))))))) -> 2(2(1(1(1(0(2(2(2(1(2(1(0(2(0(0(0(2(1(2(2(2(1(2(2(2(2(x1)))))))))))))))))))))))))))
   0(2(2(0(2(1(2(0(1(1(2(0(0(0(0(2(2(2(2(0(0(2(0(x1))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(x1)))))))))))))))))))))))))))
   0(2(2(1(0(0(1(2(2(0(1(2(0(2(1(0(1(2(0(2(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(2(2(1(0(1(2(1(2(1(2(2(1(2(1(2(0(0(1(0(2(0(2(2(x1)))))))))))))))))))))))))))
   0(2(2(1(2(0(1(1(2(1(1(1(0(0(0(0(2(0(1(2(0(1(1(x1))))))))))))))))))))))) -> 0(2(2(1(2(0(1(2(1(2(0(0(0(1(2(2(1(0(1(0(1(1(2(2(0(1(1(x1)))))))))))))))))))))))))))
   0(2(2(2(0(1(2(2(2(2(1(0(0(0(2(2(1(1(1(1(1(0(2(x1))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(2(2(2(1(0(1(1(0(2(2(0(2(1(0(1(0(2(2(2(2(2(2(x1))))))))))))))))))))))) -> 2(1(2(2(2(1(0(2(1(2(2(1(2(0(1(2(1(1(0(2(2(1(1(2(1(0(2(x1)))))))))))))))))))))))))))
   0(2(2(2(2(0(0(1(0(1(0(1(2(0(2(0(0(2(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(1(2(2(0(1(2(0(1(1(2(2(2(0(1(2(2(2(2(1(2(1(1(2(x1)))))))))))))))))))))))))))
   1(0(1(0(0(0(0(1(2(2(2(1(1(2(2(0(1(2(1(1(2(1(2(x1))))))))))))))))))))))) -> 2(2(2(0(2(2(2(2(0(0(0(2(2(2(2(2(0(2(1(1(1(1(2(0(1(2(2(x1)))))))))))))))))))))))))))
   1(0(1(0(2(1(0(0(1(0(1(2(2(1(1(2(2(1(2(0(1(2(2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(x1)))))))))))))))))))))))))))
   1(0(1(0(2(1(2(2(0(0(0(2(0(2(2(2(2(2(0(2(2(1(1(x1))))))))))))))))))))))) -> 1(0(2(2(2(2(1(2(1(2(0(2(2(2(1(0(2(0(1(2(2(2(1(2(0(0(2(x1)))))))))))))))))))))))))))
   1(0(1(1(2(2(1(1(2(2(1(1(2(0(2(2(0(2(2(1(2(1(2(x1))))))))))))))))))))))) -> 0(0(2(0(1(2(2(0(1(2(0(1(2(2(0(0(2(1(2(1(2(2(1(2(2(1(2(x1)))))))))))))))))))))))))))
   1(0(1(2(1(1(1(0(2(1(1(0(1(2(2(0(1(2(2(0(2(1(2(x1))))))))))))))))))))))) -> 1(1(1(1(2(1(2(1(2(2(2(2(2(0(0(2(2(2(0(0(0(0(1(2(0(1(2(x1)))))))))))))))))))))))))))
   1(0(2(0(1(0(2(1(2(2(2(1(1(2(2(2(1(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 0(2(0(2(1(2(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(x1)))))))))))))))))))))))))))
   1(0(2(1(1(0(0(2(2(0(1(2(2(1(2(0(1(1(1(0(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(1(2(2(0(2(1(2(2(0(2(2(2(1(1(2(1(1(0(0(1(2(2(1(x1)))))))))))))))))))))))))))
   1(0(2(2(1(1(0(2(0(2(2(0(0(0(1(2(2(2(0(1(0(1(2(x1))))))))))))))))))))))) -> 2(2(2(1(0(0(2(1(2(0(2(1(2(1(2(0(0(1(2(2(1(2(1(0(1(0(2(x1)))))))))))))))))))))))))))
   1(0(2(2(1(2(0(1(1(0(2(2(2(2(1(2(0(2(0(0(2(1(1(x1))))))))))))))))))))))) -> 1(0(2(1(2(1(2(2(2(2(1(1(2(2(2(2(0(2(0(2(0(2(1(2(1(1(2(x1)))))))))))))))))))))))))))
   1(0(2(2(2(0(2(2(2(1(0(1(1(0(0(1(0(1(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(0(1(2(1(2(1(2(0(1(1(0(2(2(1(2(2(1(2(2(2(x1)))))))))))))))))))))))))))
   1(2(0(0(1(2(1(1(0(0(0(1(1(0(1(2(2(0(0(0(0(2(2(x1))))))))))))))))))))))) -> 1(2(1(0(2(0(2(0(0(0(0(1(2(0(1(2(0(0(1(2(2(0(0(2(2(0(2(x1)))))))))))))))))))))))))))
   1(2(0(0(2(1(2(2(1(2(2(0(2(0(0(1(0(0(2(1(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(2(2(2(1(2(1(0(0(0(0(1(2(1(2(0(1(2(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   1(2(0(1(0(0(2(1(2(1(0(2(2(2(1(0(2(1(2(0(1(1(1(x1))))))))))))))))))))))) -> 1(2(2(2(1(2(0(2(1(2(0(0(2(0(1(2(2(1(0(0(0(2(2(1(2(1(2(x1)))))))))))))))))))))))))))
   1(2(0(1(2(2(1(1(1(0(2(1(2(0(1(1(1(0(1(1(2(2(2(x1))))))))))))))))))))))) -> 2(0(1(2(0(0(2(2(0(2(1(1(1(2(0(0(2(2(2(1(2(0(2(2(2(2(2(x1)))))))))))))))))))))))))))
   1(2(0(2(0(0(0(1(1(2(2(2(1(2(0(0(0(0(1(2(2(0(2(x1))))))))))))))))))))))) -> 0(1(2(0(2(2(0(2(1(2(1(2(1(1(0(2(2(1(1(0(2(2(1(2(1(2(2(x1)))))))))))))))))))))))))))
   1(2(1(1(0(2(1(2(1(2(0(0(1(0(2(2(0(2(0(2(1(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(0(1(2(1(0(0(1(1(0(2(2(2(1(2(1(2(0(2(1(2(2(0(2(x1)))))))))))))))))))))))))))
   1(2(1(1(2(1(0(1(1(2(0(2(1(2(1(2(2(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 1(0(0(0(2(1(1(1(2(1(2(0(0(2(2(2(2(1(2(2(1(2(0(2(1(2(1(x1)))))))))))))))))))))))))))
   1(2(1(2(1(1(1(2(1(2(1(1(0(2(1(0(1(2(0(0(2(0(2(x1))))))))))))))))))))))) -> 1(2(1(0(1(0(0(1(0(0(1(2(0(1(2(2(2(1(2(2(2(2(1(1(2(2(2(x1)))))))))))))))))))))))))))
   1(2(2(0(0(2(2(1(0(2(0(2(2(2(1(1(1(0(2(0(0(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(2(2(1(2(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(x1)))))))))))))))))))))))))))
   1(2(2(1(0(0(1(0(2(1(0(0(2(2(0(2(1(0(2(1(2(1(2(x1))))))))))))))))))))))) -> 2(2(0(0(2(1(2(0(2(1(1(2(1(1(0(2(2(1(2(2(1(0(1(2(2(2(2(x1)))))))))))))))))))))))))))
   2(0(0(0(1(2(0(0(1(0(0(0(1(1(0(2(0(2(2(2(2(0(2(x1))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(x1)))))))))))))))))))))))))))
   2(0(0(0(2(0(1(0(0(1(0(2(1(1(1(0(2(2(0(2(1(0(2(x1))))))))))))))))))))))) -> 2(2(1(0(1(1(1(2(2(1(1(2(0(2(0(0(1(1(1(1(2(2(2(1(0(2(2(x1)))))))))))))))))))))))))))
   2(0(0(2(0(1(1(0(1(0(0(0(1(1(2(2(2(1(2(2(2(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(0(0(0(0(2(2(1(2(1(0(0(1(2(2(1(2(2(2(x1)))))))))))))))))))))))))))
   2(0(0(2(0(2(0(0(0(0(0(2(0(1(1(2(2(0(0(2(0(1(1(x1))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(x1)))))))))))))))))))))))))))
   2(0(1(0(0(0(1(1(2(1(2(1(1(2(2(2(2(1(1(2(1(1(2(x1))))))))))))))))))))))) -> 2(0(0(2(0(0(0(2(2(2(0(2(1(2(0(2(2(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))))))))))))
   2(0(1(0(0(0(2(2(2(0(0(2(0(2(0(2(2(1(0(2(1(1(2(x1))))))))))))))))))))))) -> 2(0(1(2(2(0(2(2(2(2(0(2(0(2(1(1(1(1(0(1(2(2(2(2(1(1(2(x1)))))))))))))))))))))))))))
   2(0(1(1(0(1(2(0(1(0(0(2(1(1(0(2(1(1(1(1(1(2(1(x1))))))))))))))))))))))) -> 2(1(0(2(2(1(0(2(0(2(1(1(0(0(2(0(2(1(1(1(1(1(2(2(2(2(1(x1)))))))))))))))))))))))))))
   2(0(1(1(1(1(2(1(2(0(2(0(0(2(2(1(2(1(2(1(1(0(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(x1)))))))))))))))))))))))))))
   2(0(1(2(0(1(2(1(0(0(0(0(2(2(1(0(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(x1)))))))))))))))))))))))))))
   2(0(1(2(1(0(2(2(1(0(2(2(2(1(1(1(2(1(0(1(0(2(2(x1))))))))))))))))))))))) -> 2(1(2(2(2(1(2(1(2(1(0(2(2(2(2(1(2(1(2(2(2(2(0(1(0(0(2(x1)))))))))))))))))))))))))))
   2(0(1(2(2(1(0(1(2(1(1(0(0(2(1(1(1(0(1(2(1(1(0(x1))))))))))))))))))))))) -> 2(2(1(1(0(1(0(2(2(1(1(0(0(0(2(2(2(0(1(1(2(1(2(0(2(2(2(x1)))))))))))))))))))))))))))
   2(0(1(2(2(1(2(2(1(1(0(2(0(0(0(1(0(0(2(2(1(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(x1)))))))))))))))))))))))))))
   2(0(2(0(2(1(2(0(1(2(2(1(0(1(1(0(1(2(1(0(0(0(0(x1))))))))))))))))))))))) -> 2(0(2(1(1(0(2(2(0(1(0(0(1(2(2(2(1(2(2(1(2(1(1(1(0(2(0(x1)))))))))))))))))))))))))))
   2(0(2(1(0(2(2(0(2(0(1(1(0(2(2(2(0(0(1(0(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(x1)))))))))))))))))))))))))))
   2(0(2(1(1(0(2(1(0(0(2(1(1(1(2(2(2(1(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(x1)))))))))))))))))))))))))))
   2(0(2(2(0(0(0(2(0(2(1(2(2(0(0(0(0(1(0(0(1(1(2(x1))))))))))))))))))))))) -> 2(0(0(0(0(1(2(1(0(2(2(1(2(2(0(0(2(1(0(0(2(1(2(1(1(2(2(x1)))))))))))))))))))))))))))
   2(0(2(2(1(0(2(2(0(0(2(1(0(2(1(1(0(1(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(2(1(1(0(2(1(2(2(2(2(2(0(0(0(0(0(1(1(1(2(2(x1)))))))))))))))))))))))))))
   2(0(2(2(2(1(2(2(0(0(0(1(2(1(1(2(2(1(0(2(0(1(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(1(2(0(1(0(2(0(2(2(2(1(0(0(1(2(1(2(2(2(x1)))))))))))))))))))))))))))
   2(1(0(0(1(1(0(2(1(1(0(2(0(2(2(2(0(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(x1)))))))))))))))))))))))))))
   2(1(0(1(2(2(0(0(1(1(2(2(2(1(0(2(2(0(1(2(2(2(0(x1))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
   2(1(1(0(0(0(0(2(0(1(2(0(2(0(1(2(1(2(0(2(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(x1)))))))))))))))))))))))))))
   2(1(1(2(1(2(1(1(0(2(0(0(1(0(2(2(0(2(0(0(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(0(2(2(1(0(2(2(2(0(1(2(2(2(0(0(0(1(1(2(x1)))))))))))))))))))))))))))
   2(1(2(0(0(0(1(0(2(2(0(0(1(1(1(2(0(2(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(x1)))))))))))))))))))))))))))
   2(1(2(0(0(2(1(0(1(2(2(1(1(0(1(2(1(2(0(0(0(2(1(x1))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(x1)))))))))))))))))))))))))))
   2(1(2(0(1(0(2(2(0(1(1(1(1(0(2(2(2(0(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(1(1(1(2(1(2(0(1(1(2(1(0(2(2(1(2(1(2(0(1(0(x1)))))))))))))))))))))))))))
   2(1(2(0(1(2(0(1(0(0(1(0(0(0(1(2(1(0(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(2(2(0(2(0(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(x1)))))))))))))))))))))))))))
   2(1(2(1(1(2(2(2(0(2(0(2(0(2(2(0(1(2(0(0(1(0(0(x1))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   2(1(2(1(2(1(1(1(1(0(1(0(0(2(2(1(1(2(0(0(2(0(2(x1))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(x1)))))))))))))))))))))))))))
   2(1(2(1(2(1(2(2(0(1(0(1(1(1(2(1(0(1(1(2(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(1(2(2(1(2(2(1(2(1(1(0(0(2(1(2(1(2(0(1(2(1(x1)))))))))))))))))))))))))))
   2(1(2(1(2(2(2(0(2(1(0(1(1(2(1(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(2(0(0(1(2(2(0(1(2(1(2(1(2(2(0(0(1(0(2(x1)))))))))))))))))))))))))))
   2(1(2(2(1(2(0(1(0(0(2(2(2(0(0(1(1(1(1(0(0(1(0(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(1(2(0(2(1(2(1(1(2(0(0(2(0(2(0(2(1(2(0(x1)))))))))))))))))))))))))))
   2(2(0(0(2(0(0(0(0(2(1(0(0(2(2(2(1(2(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(x1)))))))))))))))))))))))))))
   2(2(0(0(2(1(1(1(1(1(1(0(2(1(0(0(2(2(1(1(0(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(2(2(2(0(2(2(1(1(1(2(x1)))))))))))))))))))))))))))
   2(2(0(1(1(1(2(1(0(0(0(0(2(1(1(1(0(0(0(2(1(0(2(x1))))))))))))))))))))))) -> 2(1(1(1(0(1(0(0(1(1(1(0(1(0(2(0(1(2(1(2(1(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   2(2(0(2(1(1(2(1(2(1(1(1(1(2(1(1(0(1(0(1(0(0(2(x1))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(x1)))))))))))))))))))))))))))
   2(2(0(2(2(2(2(0(1(2(0(2(1(0(1(1(1(0(2(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(x1)))))))))))))))))))))))))))
   2(2(1(0(2(1(2(0(0(0(0(0(2(0(2(2(1(2(1(0(1(0(1(x1))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(x1)))))))))))))))))))))))))))
   2(2(1(1(2(0(0(0(1(0(0(0(0(2(1(0(2(2(1(2(2(1(0(x1))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(x1)))))))))))))))))))))))))))
   2(2(1(1(2(1(1(0(0(2(0(1(1(1(2(1(1(2(2(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(x1)))))))))))))))))))))))))))
   2(2(2(0(0(2(1(0(2(1(0(2(0(0(0(2(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(x1)))))))))))))))))))))))))))
   2(2(2(1(1(0(2(0(0(1(2(2(2(2(2(1(1(0(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(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))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

(10)
Obligation:
TRS:
Rules:
0(0(0(1(0(0(1(2(1(2(2(2(0(2(2(0(1(2(0(1(1(1(1(x1))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(1(2(0(2(0(2(2(1(2(2(1(1(1(1(2(0(1(0(1(x1)))))))))))))))))))))))))))
0(0(0(2(1(1(2(1(2(2(0(2(0(2(2(2(1(1(1(0(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(2(0(1(2(2(1(2(1(0(2(2(0(2(2(2(0(0(2(2(0(2(1(x1)))))))))))))))))))))))))))
0(0(1(1(1(0(2(2(2(0(2(2(1(1(2(0(0(1(2(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(x1)))))))))))))))))))))))))))
0(0(1(1(2(0(1(2(2(1(1(0(1(1(2(2(2(0(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(x1)))))))))))))))))))))))))))
0(0(1(2(2(1(2(0(0(2(2(0(2(1(1(1(0(2(1(0(2(2(0(x1))))))))))))))))))))))) -> 0(1(1(1(1(2(0(1(1(2(1(1(2(1(2(2(1(2(2(2(0(2(1(2(1(2(2(x1)))))))))))))))))))))))))))
0(0(1(2(2(1(2(0(2(2(2(1(1(2(0(0(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 0(2(2(2(1(0(0(2(0(2(1(2(1(2(1(2(2(1(2(2(1(1(2(0(1(2(2(x1)))))))))))))))))))))))))))
0(0(1(2(2(2(0(2(0(2(0(2(0(0(0(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(x1)))))))))))))))))))))))))))
0(0(2(2(0(1(1(0(2(0(1(0(1(2(2(1(0(2(2(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(2(2(1(2(0(1(0(2(2(1(2(1(2(2(0(1(2(2(0(2(1(2(2(0(2(x1)))))))))))))))))))))))))))
0(0(2(2(2(1(2(1(1(1(2(1(1(2(1(0(0(2(0(2(0(2(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(x1)))))))))))))))))))))))))))
0(0(2(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(1(1(0(1(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(0(1(2(1(2(0(1(1(1(1(2(0(1(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
0(1(0(0(2(0(2(0(1(0(2(0(0(1(2(2(0(1(2(0(2(1(2(x1))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
0(1(0(1(2(0(0(0(2(1(1(2(2(1(1(2(0(2(1(2(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(1(2(1(2(0(0(1(0(1(0(1(2(0(1(0(1(1(2(1(2(2(x1)))))))))))))))))))))))))))
0(1(1(1(0(2(2(1(2(2(2(2(0(0(2(0(2(2(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
0(1(1(1(1(2(0(1(2(0(2(2(0(0(0(1(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(x1)))))))))))))))))))))))))))
0(1(1(2(2(0(0(0(2(0(0(2(1(2(1(2(0(2(2(1(2(1(1(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(0(2(2(2(2(1(0(2(2(1(2(2(2(2(0(0(2(2(2(2(0(x1)))))))))))))))))))))))))))
0(1(2(0(1(1(1(1(1(0(2(1(2(2(1(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(1(2(0(1(2(2(2(2(2(2(0(2(2(2(2(2(1(2(1(0(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
0(1(2(0(1(2(0(1(1(2(2(0(1(2(2(1(1(1(2(0(0(0(2(x1))))))))))))))))))))))) -> 2(0(0(2(2(1(1(2(2(2(0(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(x1)))))))))))))))))))))))))))
0(1(2(0(2(1(1(2(0(1(0(2(2(0(0(2(1(0(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(2(1(0(0(2(1(0(2(2(1(1(0(2(2(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))
0(1(2(1(0(0(0(2(2(2(2(0(2(0(0(1(0(1(0(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(x1)))))))))))))))))))))))))))
0(1(2(1(0(2(2(2(1(2(0(0(0(2(1(1(1(1(0(2(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))))
0(1(2(1(1(2(2(2(1(2(1(2(0(2(0(1(2(0(1(0(1(0(0(x1))))))))))))))))))))))) -> 0(1(2(0(1(1(1(2(0(1(0(1(2(2(1(2(1(2(1(1(1(2(2(2(2(1(2(x1)))))))))))))))))))))))))))
0(1(2(2(0(0(0(0(0(2(2(1(2(2(2(2(1(1(1(2(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(x1)))))))))))))))))))))))))))
0(2(0(0(0(2(2(1(2(1(1(2(1(1(1(1(1(1(1(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(x1)))))))))))))))))))))))))))
0(2(0(2(1(2(2(1(1(0(0(2(2(0(1(1(0(2(0(2(0(1(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(2(0(0(1(0(2(1(1(2(0(1(2(2(1(2(2(0(2(2(0(2(2(x1)))))))))))))))))))))))))))
0(2(1(0(0(0(0(0(0(0(2(0(0(1(2(2(2(2(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(x1)))))))))))))))))))))))))))
0(2(1(0(2(0(0(2(1(2(1(0(2(0(0(2(1(2(1(1(2(1(1(x1))))))))))))))))))))))) -> 1(1(2(2(2(2(1(2(2(2(2(1(1(0(0(1(1(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
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2(2(1(1(2(1(1(0(0(2(0(1(1(1(2(1(1(2(2(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(x1)))))))))))))))))))))))))))
2(2(2(0(0(2(1(0(2(1(0(2(0(0(0(2(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(x1)))))))))))))))))))))))))))
2(2(2(1(1(0(2(0(0(1(2(2(2(2(2(1(1(0(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(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))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
1 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
2 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
hole_1:0:2:encArg:encode_0:encode_1:encode_21_3 :: 1:0:2:encArg:encode_0:encode_1:encode_2
hole_cons_0:cons_1:cons_22_3 :: cons_0:cons_1:cons_2
gen_cons_0:cons_1:cons_23_3 :: Nat -> cons_0:cons_1:cons_2

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

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

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

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

(12)
Obligation:
TRS:
Rules:
0(0(0(1(0(0(1(2(1(2(2(2(0(2(2(0(1(2(0(1(1(1(1(x1))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(1(2(0(2(0(2(2(1(2(2(1(1(1(1(2(0(1(0(1(x1)))))))))))))))))))))))))))
0(0(0(2(1(1(2(1(2(2(0(2(0(2(2(2(1(1(1(0(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(2(0(1(2(2(1(2(1(0(2(2(0(2(2(2(0(0(2(2(0(2(1(x1)))))))))))))))))))))))))))
0(0(1(1(1(0(2(2(2(0(2(2(1(1(2(0(0(1(2(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(x1)))))))))))))))))))))))))))
0(0(1(1(2(0(1(2(2(1(1(0(1(1(2(2(2(0(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(x1)))))))))))))))))))))))))))
0(0(1(2(2(1(2(0(0(2(2(0(2(1(1(1(0(2(1(0(2(2(0(x1))))))))))))))))))))))) -> 0(1(1(1(1(2(0(1(1(2(1(1(2(1(2(2(1(2(2(2(0(2(1(2(1(2(2(x1)))))))))))))))))))))))))))
0(0(1(2(2(1(2(0(2(2(2(1(1(2(0(0(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 0(2(2(2(1(0(0(2(0(2(1(2(1(2(1(2(2(1(2(2(1(1(2(0(1(2(2(x1)))))))))))))))))))))))))))
0(0(1(2(2(2(0(2(0(2(0(2(0(0(0(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(x1)))))))))))))))))))))))))))
0(0(2(2(0(1(1(0(2(0(1(0(1(2(2(1(0(2(2(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(2(2(1(2(0(1(0(2(2(1(2(1(2(2(0(1(2(2(0(2(1(2(2(0(2(x1)))))))))))))))))))))))))))
0(0(2(2(2(1(2(1(1(1(2(1(1(2(1(0(0(2(0(2(0(2(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(x1)))))))))))))))))))))))))))
0(0(2(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(1(1(0(1(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(0(1(2(1(2(0(1(1(1(1(2(0(1(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
0(1(0(0(2(0(2(0(1(0(2(0(0(1(2(2(0(1(2(0(2(1(2(x1))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
0(1(0(1(2(0(0(0(2(1(1(2(2(1(1(2(0(2(1(2(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(1(2(1(2(0(0(1(0(1(0(1(2(0(1(0(1(1(2(1(2(2(x1)))))))))))))))))))))))))))
0(1(1(1(0(2(2(1(2(2(2(2(0(0(2(0(2(2(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
0(1(1(1(1(2(0(1(2(0(2(2(0(0(0(1(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(x1)))))))))))))))))))))))))))
0(1(1(2(2(0(0(0(2(0(0(2(1(2(1(2(0(2(2(1(2(1(1(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(0(2(2(2(2(1(0(2(2(1(2(2(2(2(0(0(2(2(2(2(0(x1)))))))))))))))))))))))))))
0(1(2(0(1(1(1(1(1(0(2(1(2(2(1(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(1(2(0(1(2(2(2(2(2(2(0(2(2(2(2(2(1(2(1(0(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
0(1(2(0(1(2(0(1(1(2(2(0(1(2(2(1(1(1(2(0(0(0(2(x1))))))))))))))))))))))) -> 2(0(0(2(2(1(1(2(2(2(0(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(x1)))))))))))))))))))))))))))
0(1(2(0(2(1(1(2(0(1(0(2(2(0(0(2(1(0(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(2(1(0(0(2(1(0(2(2(1(1(0(2(2(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))
0(1(2(1(0(0(0(2(2(2(2(0(2(0(0(1(0(1(0(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(x1)))))))))))))))))))))))))))
0(1(2(1(0(2(2(2(1(2(0(0(0(2(1(1(1(1(0(2(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))))
0(1(2(1(1(2(2(2(1(2(1(2(0(2(0(1(2(0(1(0(1(0(0(x1))))))))))))))))))))))) -> 0(1(2(0(1(1(1(2(0(1(0(1(2(2(1(2(1(2(1(1(1(2(2(2(2(1(2(x1)))))))))))))))))))))))))))
0(1(2(2(0(0(0(0(0(2(2(1(2(2(2(2(1(1(1(2(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(x1)))))))))))))))))))))))))))
0(2(0(0(0(2(2(1(2(1(1(2(1(1(1(1(1(1(1(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(x1)))))))))))))))))))))))))))
0(2(0(2(1(2(2(1(1(0(0(2(2(0(1(1(0(2(0(2(0(1(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(2(0(0(1(0(2(1(1(2(0(1(2(2(1(2(2(0(2(2(0(2(2(x1)))))))))))))))))))))))))))
0(2(1(0(0(0(0(0(0(0(2(0(0(1(2(2(2(2(0(1(2(1(2(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(x1)))))))))))))))))))))))))))
0(2(1(0(2(0(0(2(1(2(1(0(2(0(0(2(1(2(1(1(2(1(1(x1))))))))))))))))))))))) -> 1(1(2(2(2(2(1(2(2(2(2(1(1(0(0(1(1(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
0(2(1(1(0(2(2(0(1(1(0(0(2(1(0(1(2(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(2(0(2(1(2(2(0(1(0(1(2(0(0(2(1(1(0(2(x1)))))))))))))))))))))))))))
0(2(1(1(2(2(0(0(0(2(0(0(2(1(1(2(1(2(0(0(1(2(2(x1))))))))))))))))))))))) -> 2(2(1(1(1(0(2(2(2(1(2(1(0(2(0(0(0(2(1(2(2(2(1(2(2(2(2(x1)))))))))))))))))))))))))))
0(2(2(0(2(1(2(0(1(1(2(0(0(0(0(2(2(2(2(0(0(2(0(x1))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(x1)))))))))))))))))))))))))))
0(2(2(1(0(0(1(2(2(0(1(2(0(2(1(0(1(2(0(2(0(0(2(x1))))))))))))))))))))))) -> 0(2(1(1(2(2(1(0(1(2(1(2(1(2(2(1(2(1(2(0(0(1(0(2(0(2(2(x1)))))))))))))))))))))))))))
0(2(2(1(2(0(1(1(2(1(1(1(0(0(0(0(2(0(1(2(0(1(1(x1))))))))))))))))))))))) -> 0(2(2(1(2(0(1(2(1(2(0(0(0(1(2(2(1(0(1(0(1(1(2(2(0(1(1(x1)))))))))))))))))))))))))))
0(2(2(2(0(1(2(2(2(2(1(0(0(0(2(2(1(1(1(1(1(0(2(x1))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
0(2(2(2(1(0(1(1(0(2(2(0(2(1(0(1(0(2(2(2(2(2(2(x1))))))))))))))))))))))) -> 2(1(2(2(2(1(0(2(1(2(2(1(2(0(1(2(1(1(0(2(2(1(1(2(1(0(2(x1)))))))))))))))))))))))))))
0(2(2(2(2(0(0(1(0(1(0(1(2(0(2(0(0(2(1(2(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(1(2(2(0(1(2(0(1(1(2(2(2(0(1(2(2(2(2(1(2(1(1(2(x1)))))))))))))))))))))))))))
1(0(1(0(0(0(0(1(2(2(2(1(1(2(2(0(1(2(1(1(2(1(2(x1))))))))))))))))))))))) -> 2(2(2(0(2(2(2(2(0(0(0(2(2(2(2(2(0(2(1(1(1(1(2(0(1(2(2(x1)))))))))))))))))))))))))))
1(0(1(0(2(1(0(0(1(0(1(2(2(1(1(2(2(1(2(0(1(2(2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(x1)))))))))))))))))))))))))))
1(0(1(0(2(1(2(2(0(0(0(2(0(2(2(2(2(2(0(2(2(1(1(x1))))))))))))))))))))))) -> 1(0(2(2(2(2(1(2(1(2(0(2(2(2(1(0(2(0(1(2(2(2(1(2(0(0(2(x1)))))))))))))))))))))))))))
1(0(1(1(2(2(1(1(2(2(1(1(2(0(2(2(0(2(2(1(2(1(2(x1))))))))))))))))))))))) -> 0(0(2(0(1(2(2(0(1(2(0(1(2(2(0(0(2(1(2(1(2(2(1(2(2(1(2(x1)))))))))))))))))))))))))))
1(0(1(2(1(1(1(0(2(1(1(0(1(2(2(0(1(2(2(0(2(1(2(x1))))))))))))))))))))))) -> 1(1(1(1(2(1(2(1(2(2(2(2(2(0(0(2(2(2(0(0(0(0(1(2(0(1(2(x1)))))))))))))))))))))))))))
1(0(2(0(1(0(2(1(2(2(2(1(1(2(2(2(1(0(2(2(1(1(2(x1))))))))))))))))))))))) -> 0(2(0(2(1(2(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(x1)))))))))))))))))))))))))))
1(0(2(1(1(0(0(2(2(0(1(2(2(1(2(0(1(1(1(0(0(2(1(x1))))))))))))))))))))))) -> 1(2(2(0(1(2(2(0(2(1(2(2(0(2(2(2(1(1(2(1(1(0(0(1(2(2(1(x1)))))))))))))))))))))))))))
1(0(2(2(1(1(0(2(0(2(2(0(0(0(1(2(2(2(0(1(0(1(2(x1))))))))))))))))))))))) -> 2(2(2(1(0(0(2(1(2(0(2(1(2(1(2(0(0(1(2(2(1(2(1(0(1(0(2(x1)))))))))))))))))))))))))))
1(0(2(2(1(2(0(1(1(0(2(2(2(2(1(2(0(2(0(0(2(1(1(x1))))))))))))))))))))))) -> 1(0(2(1(2(1(2(2(2(2(1(1(2(2(2(2(0(2(0(2(0(2(1(2(1(1(2(x1)))))))))))))))))))))))))))
1(0(2(2(2(0(2(2(2(1(0(1(1(0(0(1(0(1(1(2(1(2(2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(0(1(2(1(2(1(2(0(1(1(0(2(2(1(2(2(1(2(2(2(x1)))))))))))))))))))))))))))
1(2(0(0(1(2(1(1(0(0(0(1(1(0(1(2(2(0(0(0(0(2(2(x1))))))))))))))))))))))) -> 1(2(1(0(2(0(2(0(0(0(0(1(2(0(1(2(0(0(1(2(2(0(0(2(2(0(2(x1)))))))))))))))))))))))))))
1(2(0(0(2(1(2(2(1(2(2(0(2(0(0(1(0(0(2(1(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(2(2(2(1(2(1(0(0(0(0(1(2(1(2(0(1(2(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
1(2(0(1(0(0(2(1(2(1(0(2(2(2(1(0(2(1(2(0(1(1(1(x1))))))))))))))))))))))) -> 1(2(2(2(1(2(0(2(1(2(0(0(2(0(1(2(2(1(0(0(0(2(2(1(2(1(2(x1)))))))))))))))))))))))))))
1(2(0(1(2(2(1(1(1(0(2(1(2(0(1(1(1(0(1(1(2(2(2(x1))))))))))))))))))))))) -> 2(0(1(2(0(0(2(2(0(2(1(1(1(2(0(0(2(2(2(1(2(0(2(2(2(2(2(x1)))))))))))))))))))))))))))
1(2(0(2(0(0(0(1(1(2(2(2(1(2(0(0(0(0(1(2(2(0(2(x1))))))))))))))))))))))) -> 0(1(2(0(2(2(0(2(1(2(1(2(1(1(0(2(2(1(1(0(2(2(1(2(1(2(2(x1)))))))))))))))))))))))))))
1(2(1(1(0(2(1(2(1(2(0(0(1(0(2(2(0(2(0(2(1(1(2(x1))))))))))))))))))))))) -> 2(0(2(2(0(1(2(1(0(0(1(1(0(2(2(2(1(2(1(2(0(2(1(2(2(0(2(x1)))))))))))))))))))))))))))
1(2(1(1(2(1(0(1(1(2(0(2(1(2(1(2(2(0(0(1(1(2(1(x1))))))))))))))))))))))) -> 1(0(0(0(2(1(1(1(2(1(2(0(0(2(2(2(2(1(2(2(1(2(0(2(1(2(1(x1)))))))))))))))))))))))))))
1(2(1(2(1(1(1(2(1(2(1(1(0(2(1(0(1(2(0(0(2(0(2(x1))))))))))))))))))))))) -> 1(2(1(0(1(0(0(1(0(0(1(2(0(1(2(2(2(1(2(2(2(2(1(1(2(2(2(x1)))))))))))))))))))))))))))
1(2(2(0(0(2(2(1(0(2(0(2(2(2(1(1(1(0(2(0(0(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(2(2(1(2(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(x1)))))))))))))))))))))))))))
1(2(2(1(0(0(1(0(2(1(0(0(2(2(0(2(1(0(2(1(2(1(2(x1))))))))))))))))))))))) -> 2(2(0(0(2(1(2(0(2(1(1(2(1(1(0(2(2(1(2(2(1(0(1(2(2(2(2(x1)))))))))))))))))))))))))))
2(0(0(0(1(2(0(0(1(0(0(0(1(1(0(2(0(2(2(2(2(0(2(x1))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(x1)))))))))))))))))))))))))))
2(0(0(0(2(0(1(0(0(1(0(2(1(1(1(0(2(2(0(2(1(0(2(x1))))))))))))))))))))))) -> 2(2(1(0(1(1(1(2(2(1(1(2(0(2(0(0(1(1(1(1(2(2(2(1(0(2(2(x1)))))))))))))))))))))))))))
2(0(0(2(0(1(1(0(1(0(0(0(1(1(2(2(2(1(2(2(2(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(0(0(0(0(2(2(1(2(1(0(0(1(2(2(1(2(2(2(x1)))))))))))))))))))))))))))
2(0(0(2(0(2(0(0(0(0(0(2(0(1(1(2(2(0(0(2(0(1(1(x1))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(x1)))))))))))))))))))))))))))
2(0(1(0(0(0(1(1(2(1(2(1(1(2(2(2(2(1(1(2(1(1(2(x1))))))))))))))))))))))) -> 2(0(0(2(0(0(0(2(2(2(0(2(1(2(0(2(2(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))))))))))))
2(0(1(0(0(0(2(2(2(0(0(2(0(2(0(2(2(1(0(2(1(1(2(x1))))))))))))))))))))))) -> 2(0(1(2(2(0(2(2(2(2(0(2(0(2(1(1(1(1(0(1(2(2(2(2(1(1(2(x1)))))))))))))))))))))))))))
2(0(1(1(0(1(2(0(1(0(0(2(1(1(0(2(1(1(1(1(1(2(1(x1))))))))))))))))))))))) -> 2(1(0(2(2(1(0(2(0(2(1(1(0(0(2(0(2(1(1(1(1(1(2(2(2(2(1(x1)))))))))))))))))))))))))))
2(0(1(1(1(1(2(1(2(0(2(0(0(2(2(1(2(1(2(1(1(0(0(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(x1)))))))))))))))))))))))))))
2(0(1(2(0(1(2(1(0(0(0(0(2(2(1(0(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(x1)))))))))))))))))))))))))))
2(0(1(2(1(0(2(2(1(0(2(2(2(1(1(1(2(1(0(1(0(2(2(x1))))))))))))))))))))))) -> 2(1(2(2(2(1(2(1(2(1(0(2(2(2(2(1(2(1(2(2(2(2(0(1(0(0(2(x1)))))))))))))))))))))))))))
2(0(1(2(2(1(0(1(2(1(1(0(0(2(1(1(1(0(1(2(1(1(0(x1))))))))))))))))))))))) -> 2(2(1(1(0(1(0(2(2(1(1(0(0(0(2(2(2(0(1(1(2(1(2(0(2(2(2(x1)))))))))))))))))))))))))))
2(0(1(2(2(1(2(2(1(1(0(2(0(0(0(1(0(0(2(2(1(0(2(x1))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(x1)))))))))))))))))))))))))))
2(0(2(0(2(1(2(0(1(2(2(1(0(1(1(0(1(2(1(0(0(0(0(x1))))))))))))))))))))))) -> 2(0(2(1(1(0(2(2(0(1(0(0(1(2(2(2(1(2(2(1(2(1(1(1(0(2(0(x1)))))))))))))))))))))))))))
2(0(2(1(0(2(2(0(2(0(1(1(0(2(2(2(0(0(1(0(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(x1)))))))))))))))))))))))))))
2(0(2(1(1(0(2(1(0(0(2(1(1(1(2(2(2(1(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(x1)))))))))))))))))))))))))))
2(0(2(2(0(0(0(2(0(2(1(2(2(0(0(0(0(1(0(0(1(1(2(x1))))))))))))))))))))))) -> 2(0(0(0(0(1(2(1(0(2(2(1(2(2(0(0(2(1(0(0(2(1(2(1(1(2(2(x1)))))))))))))))))))))))))))
2(0(2(2(1(0(2(2(0(0(2(1(0(2(1(1(0(1(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(2(1(1(0(2(1(2(2(2(2(2(0(0(0(0(0(1(1(1(2(2(x1)))))))))))))))))))))))))))
2(0(2(2(2(1(2(2(0(0(0(1(2(1(1(2(2(1(0(2(0(1(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(1(2(0(1(0(2(0(2(2(2(1(0(0(1(2(1(2(2(2(x1)))))))))))))))))))))))))))
2(1(0(0(1(1(0(2(1(1(0(2(0(2(2(2(0(1(2(2(0(1(1(x1))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(x1)))))))))))))))))))))))))))
2(1(0(1(2(2(0(0(1(1(2(2(2(1(0(2(2(0(1(2(2(2(0(x1))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
2(1(1(0(0(0(0(2(0(1(2(0(2(0(1(2(1(2(0(2(2(1(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(x1)))))))))))))))))))))))))))
2(1(1(2(1(2(1(1(0(2(0(0(1(0(2(2(0(2(0(0(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(0(2(2(1(0(2(2(2(0(1(2(2(2(0(0(0(1(1(2(x1)))))))))))))))))))))))))))
2(1(2(0(0(0(1(0(2(2(0(0(1(1(1(2(0(2(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(x1)))))))))))))))))))))))))))
2(1(2(0(0(2(1(0(1(2(2(1(1(0(1(2(1(2(0(0(0(2(1(x1))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(x1)))))))))))))))))))))))))))
2(1(2(0(1(0(2(2(0(1(1(1(1(0(2(2(2(0(0(0(0(0(1(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(1(1(1(2(1(2(0(1(1(2(1(0(2(2(1(2(1(2(0(1(0(x1)))))))))))))))))))))))))))
2(1(2(0(1(2(0(1(0(0(1(0(0(0(1(2(1(0(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(2(2(0(2(0(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(x1)))))))))))))))))))))))))))
2(1(2(1(1(2(2(2(0(2(0(2(0(2(2(0(1(2(0(0(1(0(0(x1))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
2(1(2(1(2(1(1(1(1(0(1(0(0(2(2(1(1(2(0(0(2(0(2(x1))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(x1)))))))))))))))))))))))))))
2(1(2(1(2(1(2(2(0(1(0(1(1(1(2(1(0(1(1(2(0(0(1(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(1(2(2(1(2(2(1(2(1(1(0(0(2(1(2(1(2(0(1(2(1(x1)))))))))))))))))))))))))))
2(1(2(1(2(2(2(0(2(1(0(1(1(2(1(2(0(1(2(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(2(0(0(1(2(2(0(1(2(1(2(1(2(2(0(0(1(0(2(x1)))))))))))))))))))))))))))
2(1(2(2(1(2(0(1(0(0(2(2(2(0(0(1(1(1(1(0(0(1(0(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(1(2(0(2(1(2(1(1(2(0(0(2(0(2(0(2(1(2(0(x1)))))))))))))))))))))))))))
2(2(0(0(2(0(0(0(0(2(1(0(0(2(2(2(1(2(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(x1)))))))))))))))))))))))))))
2(2(0(0(2(1(1(1(1(1(1(0(2(1(0(0(2(2(1(1(0(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(2(2(2(0(2(2(1(1(1(2(x1)))))))))))))))))))))))))))
2(2(0(1(1(1(2(1(0(0(0(0(2(1(1(1(0(0(0(2(1(0(2(x1))))))))))))))))))))))) -> 2(1(1(1(0(1(0(0(1(1(1(0(1(0(2(0(1(2(1(2(1(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
2(2(0(2(1(1(2(1(2(1(1(1(1(2(1(1(0(1(0(1(0(0(2(x1))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(x1)))))))))))))))))))))))))))
2(2(0(2(2(2(2(0(1(2(0(2(1(0(1(1(1(0(2(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(x1)))))))))))))))))))))))))))
2(2(1(0(2(1(2(0(0(0(0(0(2(0(2(2(1(2(1(0(1(0(1(x1))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(x1)))))))))))))))))))))))))))
2(2(1(1(2(0(0(0(1(0(0(0(0(2(1(0(2(2(1(2(2(1(0(x1))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(x1)))))))))))))))))))))))))))
2(2(1(1(2(1(1(0(0(2(0(1(1(1(2(1(1(2(2(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(x1)))))))))))))))))))))))))))
2(2(2(0(0(2(1(0(2(1(0(2(0(0(0(2(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(x1)))))))))))))))))))))))))))
2(2(2(1(1(0(2(0(0(1(2(2(2(2(2(1(1(0(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(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))
encode_0(x_1) -> 0(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))

Types:
0 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
1 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
2 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
hole_1:0:2:encArg:encode_0:encode_1:encode_21_3 :: 1:0:2:encArg:encode_0:encode_1:encode_2
hole_cons_0:cons_1:cons_22_3 :: cons_0:cons_1:cons_2
gen_cons_0:cons_1:cons_23_3 :: Nat -> cons_0:cons_1:cons_2


Generator Equations:
gen_cons_0:cons_1:cons_23_3(0) <=> hole_cons_0:cons_1:cons_22_3
gen_cons_0:cons_1:cons_23_3(+(x, 1)) <=> cons_0(gen_cons_0:cons_1:cons_23_3(x))


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

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

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

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

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


The TRS R consists of the following rules:

   0(0(0(1(0(0(1(2(1(2(2(2(0(2(2(0(1(2(0(1(1(1(1(x1))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(1(2(0(2(0(2(2(1(2(2(1(1(1(1(2(0(1(0(1(x1)))))))))))))))))))))))))))
   0(0(0(2(1(1(2(1(2(2(0(2(0(2(2(2(1(1(1(0(2(2(1(x1))))))))))))))))))))))) -> 2(1(2(2(0(2(0(1(2(2(1(2(1(0(2(2(0(2(2(2(0(0(2(2(0(2(1(x1)))))))))))))))))))))))))))
   0(0(1(1(1(0(2(2(2(0(2(2(1(1(2(0(0(1(2(0(1(1(0(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(x1)))))))))))))))))))))))))))
   0(0(1(1(2(0(1(2(2(1(1(0(1(1(2(2(2(0(0(0(2(2(2(x1))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(1(2(0(0(2(2(0(2(1(1(1(0(2(1(0(2(2(0(x1))))))))))))))))))))))) -> 0(1(1(1(1(2(0(1(1(2(1(1(2(1(2(2(1(2(2(2(0(2(1(2(1(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(1(2(0(2(2(2(1(1(2(0(0(0(1(0(0(2(2(0(x1))))))))))))))))))))))) -> 0(2(2(2(1(0(0(2(0(2(1(2(1(2(1(2(2(1(2(2(1(1(2(0(1(2(2(x1)))))))))))))))))))))))))))
   0(0(1(2(2(2(0(2(0(2(0(2(0(0(0(0(1(1(2(1(2(2(2(x1))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(x1)))))))))))))))))))))))))))
   0(0(2(2(0(1(1(0(2(0(1(0(1(2(2(1(0(2(2(2(0(2(2(x1))))))))))))))))))))))) -> 0(0(2(2(1(2(0(1(0(2(2(1(2(1(2(2(0(1(2(2(0(2(1(2(2(0(2(x1)))))))))))))))))))))))))))
   0(0(2(2(2(1(2(1(1(1(2(1(1(2(1(0(0(2(0(2(0(2(2(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(x1)))))))))))))))))))))))))))
   0(0(2(2(2(2(2(0(2(0(1(1(0(1(2(2(2(1(1(1(1(0(1(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(0(1(2(1(2(0(1(1(1(1(2(0(1(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   0(1(0(0(2(0(2(0(1(0(2(0(0(1(2(2(0(1(2(0(2(1(2(x1))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(1(0(1(2(0(0(0(2(1(1(2(2(1(1(2(0(2(1(2(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(1(2(1(2(0(0(1(0(1(0(1(2(0(1(0(1(1(2(1(2(2(x1)))))))))))))))))))))))))))
   0(1(1(1(0(2(2(1(2(2(2(2(0(0(2(0(2(2(0(2(0(1(0(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
   0(1(1(1(1(2(0(1(2(0(2(2(0(0(0(1(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(x1)))))))))))))))))))))))))))
   0(1(1(2(2(0(0(0(2(0(0(2(1(2(1(2(0(2(2(1(2(1(1(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(0(2(2(2(2(1(0(2(2(1(2(2(2(2(0(0(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(1(2(0(1(1(1(1(1(0(2(1(2(2(1(2(0(2(2(1(2(0(2(x1))))))))))))))))))))))) -> 1(1(2(0(1(2(2(2(2(2(2(0(2(2(2(2(2(1(2(1(0(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(1(2(0(1(2(0(1(1(2(2(0(1(2(2(1(1(1(2(0(0(0(2(x1))))))))))))))))))))))) -> 2(0(0(2(2(1(1(2(2(2(0(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(x1)))))))))))))))))))))))))))
   0(1(2(0(2(1(1(2(0(1(0(2(2(0(0(2(1(0(0(2(1(2(1(x1))))))))))))))))))))))) -> 2(2(0(1(2(2(2(1(0(0(2(1(0(2(2(1(1(0(2(2(2(2(2(2(0(2(1(x1)))))))))))))))))))))))))))
   0(1(2(1(0(0(0(2(2(2(2(0(2(0(0(1(0(1(0(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(x1)))))))))))))))))))))))))))
   0(1(2(1(0(2(2(2(1(2(0(0(0(2(1(1(1(1(0(2(1(2(2(x1))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))))
   0(1(2(1(1(2(2(2(1(2(1(2(0(2(0(1(2(0(1(0(1(0(0(x1))))))))))))))))))))))) -> 0(1(2(0(1(1(1(2(0(1(0(1(2(2(1(2(1(2(1(1(1(2(2(2(2(1(2(x1)))))))))))))))))))))))))))
   0(1(2(2(0(0(0(0(0(2(2(1(2(2(2(2(1(1(1(2(0(0(1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(x1)))))))))))))))))))))))))))
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   2(2(0(0(2(0(0(0(0(2(1(0(0(2(2(2(1(2(1(0(2(1(2(x1))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(x1)))))))))))))))))))))))))))
   2(2(0(0(2(1(1(1(1(1(1(0(2(1(0(0(2(2(1(1(0(0(2(x1))))))))))))))))))))))) -> 2(1(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(2(2(2(0(2(2(1(1(1(2(x1)))))))))))))))))))))))))))
   2(2(0(1(1(1(2(1(0(0(0(0(2(1(1(1(0(0(0(2(1(0(2(x1))))))))))))))))))))))) -> 2(1(1(1(0(1(0(0(1(1(1(0(1(0(2(0(1(2(1(2(1(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   2(2(0(2(1(1(2(1(2(1(1(1(1(2(1(1(0(1(0(1(0(0(2(x1))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(x1)))))))))))))))))))))))))))
   2(2(0(2(2(2(2(0(1(2(0(2(1(0(1(1(1(0(2(0(1(0(2(x1))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(x1)))))))))))))))))))))))))))
   2(2(1(0(2(1(2(0(0(0(0(0(2(0(2(2(1(2(1(0(1(0(1(x1))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(x1)))))))))))))))))))))))))))
   2(2(1(1(2(0(0(0(1(0(0(0(0(2(1(0(2(2(1(2(2(1(0(x1))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(x1)))))))))))))))))))))))))))
   2(2(1(1(2(1(1(0(0(2(0(1(1(1(2(1(1(2(2(2(2(1(2(x1))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(x1)))))))))))))))))))))))))))
   2(2(2(0(0(2(1(0(2(1(0(2(0(0(0(2(0(2(0(0(0(2(2(x1))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(x1)))))))))))))))))))))))))))
   2(2(2(1(1(0(2(0(0(1(2(2(2(2(2(1(1(0(2(0(0(1(1(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(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))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(1(1(1(2(1(2(0(1(1(2(1(0(2(2(1(2(1(2(0(1(0(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(x1)))))))))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0(2(0(2(1(2(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(2(2(0(2(0(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(1(2(2(1(2(2(1(2(1(1(0(0(2(1(2(1(2(0(1(2(1(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(x1)))))))))))))))))))))))))))
   1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(2(0(0(2(1(2(0(2(1(1(2(1(1(0(2(2(1(2(2(1(0(1(2(2(2(2(x1)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1(2(1(0(1(0(0(1(0(0(1(2(0(1(2(2(2(1(2(2(2(2(1(1(2(2(2(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(1(1(0(1(0(0(1(1(1(0(1(0(2(0(1(2(1(2(1(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(x1)))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(1(2(0(1(0(2(0(2(2(2(1(0(0(1(2(1(2(2(2(x1)))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(2(1(1(0(2(1(2(2(2(2(2(0(0(0(0(0(1(1(1(2(2(x1)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(x1)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1(0(2(1(2(1(2(2(2(2(1(1(2(2(2(2(0(2(0(2(0(2(1(2(1(1(2(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(x1)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(x1)))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(0(1(2(1(2(1(2(0(1(1(0(2(2(1(2(2(1(2(2(2(x1)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(2(2(2(0(2(2(1(1(1(2(x1)))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1(2(1(0(2(0(2(0(0(0(0(1(2(0(1(2(0(0(1(2(2(0(0(2(2(0(2(x1)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(x1)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(x1)))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(1(1(2(2(1(0(1(2(1(2(1(2(2(1(2(1(2(0(0(1(0(2(0(2(2(x1)))))))))))))))))))))))))))
   1(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1(0(0(0(2(1(1(1(2(1(2(0(0(2(2(2(2(1(2(2(1(2(0(2(1(2(1(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(0(2(2(1(0(2(0(2(1(1(0(0(2(0(2(1(1(1(1(1(2(2(2(2(1(x1)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(1(2(0(2(1(2(1(1(2(0(0(2(0(2(0(2(1(2(0(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(2(0(0(1(2(2(0(1(2(1(2(1(2(2(0(0(1(0(2(x1)))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(0(2(2(1(0(2(2(2(0(1(2(2(2(0(0(0(1(1(2(x1)))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(x1)))))))))))))))))))))))))))
   1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 1(2(2(2(1(2(0(2(1(2(0(0(2(0(1(2(2(1(0(0(0(2(2(1(2(1(2(x1)))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(0(1(2(1(2(0(1(1(1(1(2(0(1(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1(0(2(2(2(2(1(2(1(2(0(2(2(2(1(0(2(0(1(2(2(2(1(2(0(0(2(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2(0(0(2(0(0(0(2(2(2(0(2(1(2(0(2(2(2(0(1(2(2(0(1(2(2(2(x1)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(0(0(0(0(2(2(1(2(1(0(0(1(2(2(1(2(2(2(x1)))))))))))))))))))))))))))
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   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(x1)))))))))))))))))))))))))))
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(x1)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(2(2(0(2(0(1(2(2(1(2(1(0(2(2(0(2(2(2(0(0(2(2(0(2(1(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(x1)))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(1(1(1(0(2(2(2(1(2(1(0(2(0(0(0(2(1(2(2(2(1(2(2(2(2(x1)))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(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))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)

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

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

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

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


The TRS R consists of the following rules:

   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(1(1(1(2(1(2(0(1(1(2(1(0(2(2(1(2(1(2(0(1(0(x1)))))))))))))))))))))))))))
   1(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(x1)))))))))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0(2(0(2(1(2(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(2(2(0(2(0(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(1(2(2(1(2(2(1(2(1(1(0(0(2(1(2(1(2(0(1(2(1(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(x1)))))))))))))))))))))))))))
   1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(2(0(0(2(1(2(0(2(1(1(2(1(1(0(2(2(1(2(2(1(0(1(2(2(2(2(x1)))))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1(2(1(0(1(0(0(1(0(0(1(2(0(1(2(2(2(1(2(2(2(2(1(1(2(2(2(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(x1)))))))))))))))))))))))))))
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(1(1(0(1(0(0(1(1(1(0(1(0(2(0(1(2(1(2(1(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(x1)))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(1(2(0(1(0(2(0(2(2(2(1(0(0(1(2(1(2(2(2(x1)))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(2(1(1(0(2(1(2(2(2(2(2(0(0(0(0(0(1(1(1(2(2(x1)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(x1)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(x1)))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1(0(2(1(2(1(2(2(2(2(1(1(2(2(2(2(0(2(0(2(0(2(1(2(1(1(2(x1)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(x1)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(x1)))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(0(1(2(1(2(1(2(0(1(1(0(2(2(1(2(2(1(2(2(2(x1)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(2(2(2(0(2(2(1(1(1(2(x1)))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1(2(1(0(2(0(2(0(0(0(0(1(2(0(1(2(0(0(1(2(2(0(0(2(2(0(2(x1)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(x1)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(x1)))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(1(1(2(2(1(0(1(2(1(2(1(2(2(1(2(1(2(0(0(1(0(2(0(2(2(x1)))))))))))))))))))))))))))
   1(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1(0(0(0(2(1(1(1(2(1(2(0(0(2(2(2(2(1(2(2(1(2(0(2(1(2(1(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(0(2(2(1(0(2(0(2(1(1(0(0(2(0(2(1(1(1(1(1(2(2(2(2(1(x1)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(1(2(0(2(1(2(1(1(2(0(0(2(0(2(0(2(1(2(0(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(2(0(0(1(2(2(0(1(2(1(2(1(2(2(0(0(1(0(2(x1)))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(0(2(2(1(0(2(2(2(0(1(2(2(2(0(0(0(1(1(2(x1)))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(x1)))))))))))))))))))))))))))
   1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 1(2(2(2(1(2(0(2(1(2(0(0(2(0(1(2(2(1(0(0(0(2(2(1(2(1(2(x1)))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(0(1(2(1(2(0(1(1(1(1(2(0(1(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
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   0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0(1(1(1(1(2(0(1(1(2(1(1(2(1(2(2(1(2(2(2(0(2(1(2(1(2(2(x1)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(x1)))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(0(2(2(2(2(1(0(2(2(1(2(2(2(2(0(0(2(2(2(2(0(x1)))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2(1(2(2(2(1(0(2(1(2(2(1(2(0(1(2(1(1(0(2(2(1(1(2(1(0(2(x1)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(x1)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(x1)))))))))))))))))))))))))))
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(x1)))))))))))))))))))))))))))
   0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(2(2(0(2(0(1(2(2(1(2(1(0(2(2(0(2(2(2(0(0(2(2(0(2(1(x1)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(x1)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(x1)))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(1(1(1(0(2(2(2(1(2(1(0(2(0(0(0(2(1(2(2(2(1(2(2(2(2(x1)))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(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))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)
   2(x0) -> c_2(x0)

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

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

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


The TRS R consists of the following rules:

   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(2(1(2(1(2(1(1(1(2(1(2(0(1(1(2(1(0(2(2(1(2(1(2(0(1(0(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0(2(0(2(1(2(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(2(2(0(2(0(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(1(2(2(1(2(2(1(2(1(1(0(0(2(1(2(1(2(0(1(2(1(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(2(0(0(2(1(2(0(2(1(1(2(1(1(0(2(2(1(2(2(1(0(1(2(2(2(2(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1(2(1(0(1(0(0(1(0(0(1(2(0(1(2(2(2(1(2(2(2(2(1(1(2(2(2(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(1(1(0(1(0(0(1(1(1(0(1(0(2(0(1(2(1(2(1(2(0(1(1(2(2(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(1(2(0(1(0(2(0(2(2(2(1(0(0(1(2(1(2(2(2(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(2(2(2(2(2(1(1(0(2(1(2(2(2(2(2(0(0(0(0(0(1(1(1(2(2(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1(0(2(1(2(1(2(2(2(2(1(1(2(2(2(2(0(2(0(2(0(2(1(2(1(1(2(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(x1))))))))))))))))))))))))))) [1]
   1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1(0(0(2(0(0(1(0(1(2(1(2(1(2(0(1(1(0(2(2(1(2(2(1(2(2(2(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2(1(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(2(2(2(0(2(2(1(1(1(2(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1(2(1(0(2(0(2(0(0(0(0(1(2(0(1(2(0(0(1(2(2(0(0(2(2(0(2(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0(2(1(1(2(2(1(0(1(2(1(2(1(2(2(1(2(1(2(0(0(1(0(2(0(2(2(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1(0(0(0(2(1(1(1(2(1(2(0(0(2(2(2(2(1(2(2(1(2(0(2(1(2(1(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(0(2(2(1(0(2(0(2(1(1(0(0(2(0(2(1(1(1(1(1(2(2(2(2(1(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(1(2(0(2(1(2(1(1(2(0(0(2(0(2(0(2(1(2(0(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(2(0(0(1(2(2(0(1(2(1(2(1(2(2(0(0(1(0(2(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(0(2(2(1(0(2(2(2(0(1(2(2(2(0(0(0(1(1(2(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(x1))))))))))))))))))))))))))) [1]
   1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 1(2(2(2(1(2(0(2(1(2(0(0(2(0(1(2(2(1(0(0(0(2(2(1(2(1(2(x1))))))))))))))))))))))))))) [1]
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   2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(x1))))))))))))))))))))))))))) [1]
   2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2(0(0(2(2(1(1(2(2(2(0(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0(1(1(1(1(2(0(1(1(2(1(1(2(1(2(2(1(2(2(2(0(2(1(2(1(2(2(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(x1))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2(2(1(2(1(0(0(2(2(2(2(1(0(2(2(1(2(2(2(2(0(0(2(2(2(2(0(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2(1(2(2(2(1(0(2(1(2(2(1(2(0(1(2(1(1(0(2(2(1(1(2(1(0(2(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(x1))))))))))))))))))))))))))) [1]
   0(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2(1(2(2(0(2(0(1(2(2(1(2(1(0(2(2(0(2(2(2(0(0(2(2(0(2(1(x1))))))))))))))))))))))))))) [1]
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(x1))))))))))))))))))))))))))) [1]
   2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2(2(1(1(1(0(2(2(2(1(2(1(0(2(0(0(0(2(1(2(2(2(1(2(2(2(2(x1))))))))))))))))))))))))))) [1]
   0(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0(0(0(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(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]
   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]
   0(x0) -> c_0(x0) [0]
   1(x0) -> c_1(x0) [0]
   2(x0) -> c_2(x0) [0]

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

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

0 => 0'
2 => 2'
1 => 1'

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

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


The TRS R consists of the following rules:

   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 0'(1'(2'(1'(1'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(2'(1'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(2'(1'(2'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(2'(2'(0'(1'(2'(2'(0'(0'(1'(2'(2'(1'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(1'(2'(0'(0'(1'(2'(2'(2'(2'(1'(1'(0'(2'(2'(2'(0'(1'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(2'(0'(1'(1'(2'(0'(0'(2'(1'(2'(1'(1'(0'(1'(2'(2'(2'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(1'(1'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(2'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(0'(2'(1'(2'(0'(2'(1'(1'(2'(1'(1'(0'(2'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(1'(2'(2'(2'(1'(2'(2'(2'(2'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(1'(1'(2'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(0'(2'(2'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(0'(0'(1'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(0'(1'(1'(2'(1'(2'(1'(2'(0'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(2'(2'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(1'(0'(0'(2'(0'(2'(2'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(2'(2'(2'(1'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(2'(1'(2'(1'(2'(2'(2'(2'(1'(1'(2'(2'(2'(2'(0'(2'(0'(2'(0'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(0'(0'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0'(2'(0'(0'(2'(2'(2'(2'(2'(0'(2'(0'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(0'(1'(0'(1'(2'(1'(2'(1'(2'(0'(1'(1'(0'(2'(2'(1'(2'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(2'(2'(2'(2'(0'(2'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(2'(0'(1'(2'(0'(0'(1'(2'(2'(0'(0'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(1'(0'(1'(2'(2'(0'(1'(0'(1'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(1'(0'(2'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(1'(1'(2'(2'(1'(0'(1'(2'(1'(2'(1'(2'(2'(1'(2'(1'(2'(0'(0'(1'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(0'(2'(1'(1'(1'(2'(1'(2'(0'(0'(2'(2'(2'(2'(1'(2'(2'(1'(2'(0'(2'(1'(2'(1'(x1))))))))))))))))))))))))))) [1]
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   0'(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(0'(0'(1'(2'(1'(0'(2'(2'(2'(2'(1'(2'(1'(2'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(0'(0'(0'(1'(1'(2'(1'(2'(2'(1'(2'(2'(1'(2'(2'(1'(0'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(1'(1'(2'(0'(1'(1'(2'(1'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(2'(1'(2'(2'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(2'(1'(0'(2'(1'(2'(2'(1'(2'(0'(1'(2'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(0'(0'(0'(0'(1'(0'(2'(2'(1'(2'(0'(0'(2'(2'(1'(1'(2'(2'(1'(2'(2'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(0'(0'(2'(2'(0'(1'(1'(1'(1'(1'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(0'(1'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(0'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(2'(0'(2'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2'(0'(2'(1'(2'(2'(2'(1'(0'(2'(2'(1'(1'(2'(1'(2'(0'(2'(0'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(0'(2'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(2'(2'(0'(1'(0'(2'(0'(1'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(1'(1'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(2'(2'(2'(1'(2'(0'(2'(1'(2'(2'(2'(1'(2'(1'(1'(2'(1'(0'(2'(2'(0'(0'(2'(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]
   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]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]

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

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

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

   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 0'(1'(2'(1'(1'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(2'(1'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(2'(1'(2'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(2'(2'(0'(1'(2'(2'(0'(0'(1'(2'(2'(1'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(1'(2'(0'(0'(1'(2'(2'(2'(2'(1'(1'(0'(2'(2'(2'(0'(1'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(2'(0'(1'(1'(2'(0'(0'(2'(1'(2'(1'(1'(0'(1'(2'(2'(2'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(1'(1'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(2'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(0'(2'(1'(2'(0'(2'(1'(1'(2'(1'(1'(0'(2'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(1'(2'(2'(2'(1'(2'(2'(2'(2'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(1'(1'(2'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(0'(2'(2'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(0'(0'(1'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(0'(1'(1'(2'(1'(2'(1'(2'(0'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(2'(2'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(1'(0'(0'(2'(0'(2'(2'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(2'(2'(2'(1'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(2'(1'(2'(1'(2'(2'(2'(2'(1'(1'(2'(2'(2'(2'(0'(2'(0'(2'(0'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(0'(0'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0'(2'(0'(0'(2'(2'(2'(2'(2'(0'(2'(0'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(0'(1'(0'(1'(2'(1'(2'(1'(2'(0'(1'(1'(0'(2'(2'(1'(2'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(2'(2'(2'(2'(0'(2'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(2'(0'(1'(2'(0'(0'(1'(2'(2'(0'(0'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
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   1'(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(0'(2'(2'(0'(2'(1'(2'(0'(1'(1'(1'(1'(2'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(2'(2'(1'(2'(0'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(0'(1'(0'(2'(2'(0'(0'(2'(1'(2'(1'(2'(2'(0'(0'(2'(0'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(2'(0'(2'(1'(1'(1'(1'(2'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(1'(1'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(2'(2'(2'(0'(0'(0'(0'(1'(2'(0'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(0'(0'(1'(2'(1'(0'(2'(2'(2'(2'(1'(2'(1'(2'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(0'(0'(0'(1'(1'(2'(1'(2'(2'(1'(2'(2'(1'(2'(2'(1'(0'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(1'(1'(2'(0'(1'(1'(2'(1'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(2'(1'(2'(2'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(2'(1'(0'(2'(1'(2'(2'(1'(2'(0'(1'(2'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(0'(0'(0'(0'(1'(0'(2'(2'(1'(2'(0'(0'(2'(2'(1'(1'(2'(2'(1'(2'(2'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(0'(0'(2'(2'(0'(1'(1'(1'(1'(1'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(0'(1'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(0'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(2'(0'(2'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2'(0'(2'(1'(2'(2'(2'(1'(0'(2'(2'(1'(1'(2'(1'(2'(0'(2'(0'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(0'(2'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(2'(2'(0'(1'(0'(2'(0'(1'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(1'(1'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(2'(2'(2'(1'(2'(0'(2'(1'(2'(2'(2'(1'(2'(1'(1'(2'(1'(0'(2'(2'(0'(0'(2'(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]
   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]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]

The TRS has the following type information:
0' :: c_2:c_1:c_0 -> c_2:c_1:c_0
c_1 :: c_2:c_1:c_0 -> c_2:c_1:c_0
c_0 :: c_2:c_1:c_0 -> c_2:c_1:c_0
c_2 :: c_2:c_1:c_0 -> c_2:c_1:c_0
1' :: c_2:c_1:c_0 -> c_2:c_1:c_0
2' :: c_2:c_1:c_0 -> c_2:c_1:c_0
encArg :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0
encode_1 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0
encode_2 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_0_1
   encode_1_1
   encode_2_1
   0'_1
   1'_1
   2'_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]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]

And the following fresh constants:    const, const1

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

(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:

   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 0'(1'(2'(1'(1'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(2'(1'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(2'(1'(2'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(2'(2'(0'(1'(2'(2'(0'(0'(1'(2'(2'(1'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(1'(2'(0'(0'(1'(2'(2'(2'(2'(1'(1'(0'(2'(2'(2'(0'(1'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(2'(0'(1'(1'(2'(0'(0'(2'(1'(2'(1'(1'(0'(1'(2'(2'(2'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(1'(1'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(2'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(0'(2'(1'(2'(0'(2'(1'(1'(2'(1'(1'(0'(2'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(1'(2'(2'(2'(1'(2'(2'(2'(2'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(1'(1'(2'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(0'(2'(2'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(0'(0'(1'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(0'(1'(1'(2'(1'(2'(1'(2'(0'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(2'(2'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(1'(0'(0'(2'(0'(2'(2'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
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   2'(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(0'(1'(2'(2'(0'(2'(2'(2'(2'(0'(2'(0'(2'(1'(1'(1'(1'(0'(1'(2'(2'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(0'(1'(1'(1'(1'(1'(0'(2'(2'(0'(0'(2'(1'(1'(2'(0'(1'(2'(2'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(0'(2'(1'(1'(0'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(2'(2'(2'(1'(2'(1'(2'(0'(2'(1'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(1'(2'(0'(1'(2'(2'(1'(2'(2'(0'(2'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(1'(2'(2'(0'(2'(1'(2'(2'(0'(2'(2'(2'(1'(1'(2'(1'(1'(0'(0'(1'(2'(2'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(0'(2'(2'(0'(2'(1'(2'(0'(1'(1'(1'(1'(2'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(2'(2'(1'(2'(0'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(0'(1'(0'(2'(2'(0'(0'(2'(1'(2'(1'(2'(2'(0'(0'(2'(0'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(2'(0'(2'(1'(1'(1'(1'(2'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(1'(1'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(2'(2'(2'(0'(0'(0'(0'(1'(2'(0'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(0'(0'(1'(2'(1'(0'(2'(2'(2'(2'(1'(2'(1'(2'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(0'(0'(0'(1'(1'(2'(1'(2'(2'(1'(2'(2'(1'(2'(2'(1'(0'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(1'(1'(2'(0'(1'(1'(2'(1'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(2'(1'(2'(2'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(2'(1'(0'(2'(1'(2'(2'(1'(2'(0'(1'(2'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(0'(0'(0'(0'(1'(0'(2'(2'(1'(2'(0'(0'(2'(2'(1'(1'(2'(2'(1'(2'(2'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(0'(0'(2'(2'(0'(1'(1'(1'(1'(1'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(0'(1'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(0'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(2'(0'(2'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2'(0'(2'(1'(2'(2'(2'(1'(0'(2'(2'(1'(1'(2'(1'(2'(0'(2'(0'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(0'(2'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(2'(2'(0'(1'(0'(2'(0'(1'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(1'(1'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(2'(2'(2'(1'(2'(0'(2'(1'(2'(2'(2'(1'(2'(1'(1'(2'(1'(0'(2'(2'(0'(0'(2'(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]
   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]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]

The TRS has the following type information:
0' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_1 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_0 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_2 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
1' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
2' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
encArg :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:const
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:const
encode_1 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:const
encode_2 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:const
const :: c_2:c_1:c_0:const
const1 :: cons_0:cons_1:cons_2

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

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

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

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

   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 0'(1'(2'(1'(1'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(2'(1'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(2'(1'(2'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(2'(2'(0'(1'(2'(2'(0'(0'(1'(2'(2'(1'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(1'(2'(0'(0'(1'(2'(2'(2'(2'(1'(1'(0'(2'(2'(2'(0'(1'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(2'(0'(1'(1'(2'(0'(0'(2'(1'(2'(1'(1'(0'(1'(2'(2'(2'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(1'(1'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(2'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
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   2'(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(0'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(1'(0'(2'(1'(0'(2'(2'(0'(1'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 0'(1'(2'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(2'(1'(2'(1'(1'(1'(2'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(0'(2'(2'(0'(0'(2'(2'(2'(1'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
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   1'(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(2'(2'(2'(1'(2'(1'(2'(0'(2'(1'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(1'(2'(0'(1'(2'(2'(1'(2'(2'(0'(2'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_1(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(1'(2'(2'(0'(2'(1'(2'(2'(0'(2'(2'(2'(1'(1'(2'(1'(1'(0'(0'(1'(2'(2'(1'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(0'(2'(2'(0'(2'(1'(2'(0'(1'(1'(1'(1'(2'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 0'(2'(2'(1'(2'(0'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(0'(1'(0'(2'(2'(0'(0'(2'(1'(2'(1'(2'(2'(0'(0'(2'(0'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(2'(0'(2'(1'(1'(1'(1'(2'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(1'(1'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(2'(2'(2'(0'(0'(0'(0'(1'(2'(0'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(0'(0'(1'(2'(1'(0'(2'(2'(2'(2'(1'(2'(1'(2'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(0'(0'(0'(1'(1'(2'(1'(2'(2'(1'(2'(2'(1'(2'(2'(1'(0'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(1'(1'(2'(0'(1'(1'(2'(1'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(2'(1'(2'(2'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
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   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(0'(0'(0'(0'(1'(0'(2'(2'(1'(2'(0'(0'(2'(2'(1'(1'(2'(2'(1'(2'(2'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(0'(0'(2'(2'(0'(1'(1'(1'(1'(1'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(0'(1'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(0'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(2'(0'(2'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2'(0'(2'(1'(2'(2'(2'(1'(0'(2'(2'(1'(1'(2'(1'(2'(0'(2'(0'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(0'(2'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(2'(2'(0'(1'(0'(2'(0'(1'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(1'(1'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(2'(2'(2'(1'(2'(0'(2'(1'(2'(2'(2'(1'(2'(1'(1'(2'(1'(0'(2'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_12))) -> 1'(0'(encArg(x_12))) [0]
   encArg(cons_1(cons_1(x_13))) -> 1'(1'(encArg(x_13))) [0]
   encArg(cons_1(cons_2(x_14))) -> 1'(2'(encArg(x_14))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_15))) -> 2'(0'(encArg(x_15))) [0]
   encArg(cons_2(cons_1(x_16))) -> 2'(1'(encArg(x_16))) [0]
   encArg(cons_2(cons_2(x_17))) -> 2'(2'(encArg(x_17))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encode_0(cons_0(x_18)) -> 0'(0'(encArg(x_18))) [0]
   encode_0(cons_1(x_19)) -> 0'(1'(encArg(x_19))) [0]
   encode_0(cons_2(x_110)) -> 0'(2'(encArg(x_110))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(cons_0(x_111)) -> 1'(0'(encArg(x_111))) [0]
   encode_1(cons_1(x_112)) -> 1'(1'(encArg(x_112))) [0]
   encode_1(cons_2(x_113)) -> 1'(2'(encArg(x_113))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_2(cons_0(x_114)) -> 2'(0'(encArg(x_114))) [0]
   encode_2(cons_1(x_115)) -> 2'(1'(encArg(x_115))) [0]
   encode_2(cons_2(x_116)) -> 2'(2'(encArg(x_116))) [0]
   encode_2(x_1) -> 2'(const) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]

The TRS has the following type information:
0' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_1 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_0 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
c_2 :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
1' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
2' :: c_2:c_1:c_0:const -> c_2:c_1:c_0:const
encArg :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:const
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:const
encode_1 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:const
encode_2 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:const
const :: c_2:c_1:c_0:const
const1 :: cons_0:cons_1:cons_2

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

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

   const => 0
   const1 => 0

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

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

   0'(z) -{ 1 }-> 2'(2'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(0'(2'(1'(1'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(2'(2'(0'(2'(2'(2'(2'(1'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(2'(0'(1'(1'(0'(0'(2'(0'(2'(2'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(1'(2'(1'(0'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(1'(1'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(0'(1'(2'(2'(2'(1'(0'(0'(2'(1'(0'(2'(2'(1'(1'(0'(2'(2'(2'(2'(2'(2'(0'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(0'(1'(2'(2'(1'(2'(1'(2'(0'(0'(1'(0'(1'(0'(1'(2'(0'(1'(0'(1'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(1'(2'(0'(1'(2'(2'(1'(2'(2'(0'(2'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(1'(1'(1'(2'(0'(1'(0'(0'(0'(0'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(2'(2'(2'(1'(0'(2'(1'(2'(2'(1'(2'(0'(1'(2'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(2'(0'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(2'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(2'(0'(2'(2'(2'(0'(1'(2'(2'(2'(1'(0'(1'(2'(2'(2'(0'(0'(0'(2'(0'(0'(0'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(1'(1'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(0'(0'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(2'(1'(1'(0'(2'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(2'(0'(2'(2'(2'(1'(2'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(1'(1'(1'(1'(2'(0'(1'(0'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(2'(0'(1'(1'(2'(1'(2'(1'(2'(0'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(2'(1'(1'(0'(0'(1'(1'(2'(0'(1'(2'(1'(2'(0'(1'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(2'(0'(1'(2'(2'(2'(2'(2'(2'(0'(2'(2'(2'(2'(2'(1'(2'(1'(0'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(2'(2'(1'(0'(0'(2'(0'(2'(1'(2'(1'(2'(1'(2'(2'(1'(2'(2'(1'(1'(2'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(2'(1'(2'(0'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(1'(2'(2'(1'(0'(1'(2'(1'(2'(1'(2'(2'(1'(2'(1'(2'(0'(0'(1'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(0'(2'(2'(2'(2'(2'(0'(2'(0'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(1'(1'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(2'(1'(2'(1'(1'(1'(2'(2'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(2'(0'(1'(1'(2'(1'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(2'(1'(2'(0'(1'(0'(2'(2'(1'(2'(1'(2'(2'(0'(1'(2'(2'(0'(2'(1'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(1'(0'(1'(2'(2'(0'(1'(0'(1'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(0'(1'(2'(0'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(1'(1'(2'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(2'(2'(2'(1'(2'(0'(2'(1'(2'(2'(2'(1'(2'(1'(1'(2'(1'(0'(2'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 2'(2'(2'(2'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(2'(0'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(2'(0'(2'(1'(1'(1'(1'(2'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(0'(0'(2'(1'(2'(0'(2'(1'(1'(2'(1'(1'(0'(2'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(2'(2'(2'(1'(2'(1'(2'(0'(2'(1'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(0'(1'(2'(0'(0'(2'(2'(0'(2'(1'(1'(1'(2'(0'(0'(2'(2'(2'(1'(2'(0'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(2'(2'(1'(2'(0'(2'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(0'(0'(0'(2'(2'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(2'(0'(1'(2'(2'(0'(2'(1'(2'(2'(0'(2'(2'(2'(1'(1'(2'(1'(1'(0'(0'(1'(2'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(2'(0'(1'(2'(0'(0'(1'(2'(2'(0'(0'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(1'(2'(2'(2'(1'(2'(2'(2'(2'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(2'(2'(2'(0'(0'(0'(0'(1'(2'(0'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(2'(2'(2'(1'(2'(1'(2'(0'(2'(2'(2'(1'(0'(2'(0'(1'(2'(2'(2'(1'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(1'(2'(1'(2'(2'(2'(2'(1'(1'(2'(2'(2'(2'(0'(2'(0'(2'(0'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(2'(2'(0'(1'(2'(2'(0'(0'(1'(2'(2'(1'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(2'(0'(0'(1'(0'(1'(2'(1'(2'(1'(2'(0'(1'(1'(0'(2'(2'(1'(2'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(0'(2'(1'(1'(1'(2'(1'(2'(0'(0'(2'(2'(2'(2'(1'(2'(2'(1'(2'(0'(2'(1'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(0'(2'(1'(2'(0'(0'(1'(2'(2'(2'(2'(1'(1'(0'(2'(2'(2'(0'(1'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(2'(0'(2'(2'(0'(2'(1'(2'(1'(2'(1'(1'(0'(2'(2'(1'(1'(0'(2'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(2'(2'(0'(2'(2'(2'(0'(0'(1'(2'(2'(0'(1'(2'(1'(2'(1'(2'(2'(0'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(2'(2'(0'(2'(2'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(0'(0'(1'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(0'(1'(1'(1'(1'(2'(1'(2'(2'(0'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(0'(2'(0'(1'(1'(2'(0'(0'(2'(1'(2'(1'(1'(0'(1'(2'(2'(2'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(0'(1'(0'(0'(0'(1'(1'(2'(1'(2'(2'(1'(2'(2'(1'(2'(2'(1'(0'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(2'(1'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(2'(1'(2'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(2'(0'(0'(2'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(1'(0'(0'(0'(2'(2'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(1'(0'(1'(0'(2'(2'(1'(1'(0'(0'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(0'(1'(1'(1'(2'(2'(1'(1'(2'(0'(2'(0'(0'(1'(1'(1'(1'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(2'(2'(0'(2'(1'(2'(0'(1'(1'(1'(1'(2'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(0'(2'(2'(0'(0'(2'(2'(2'(1'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(0'(2'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(2'(2'(0'(1'(0'(2'(0'(1'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(0'(1'(1'(0'(1'(1'(1'(0'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(1'(2'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(2'(2'(2'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(2'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(2'(0'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(1'(2'(2'(0'(1'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(0'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(0'(2'(2'(2'(0'(0'(2'(2'(1'(0'(2'(2'(2'(0'(1'(2'(2'(2'(0'(0'(0'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(0'(1'(0'(2'(2'(1'(2'(0'(2'(1'(2'(1'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(0'(1'(0'(2'(2'(0'(0'(2'(1'(2'(1'(2'(2'(0'(0'(2'(0'(2'(2'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(1'(0'(2'(1'(0'(2'(2'(0'(1'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(2'(1'(1'(0'(1'(2'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(0'(0'(1'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(2'(2'(2'(2'(0'(2'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(2'(0'(1'(1'(2'(1'(2'(2'(2'(0'(1'(0'(2'(0'(0'(2'(2'(2'(1'(2'(2'(1'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(1'(1'(1'(1'(1'(2'(2'(2'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(2'(0'(1'(1'(1'(1'(1'(0'(2'(2'(0'(0'(2'(1'(1'(2'(0'(1'(2'(2'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(0'(0'(0'(0'(1'(0'(2'(2'(1'(2'(0'(0'(2'(2'(1'(1'(2'(2'(1'(2'(2'(2'(1'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(2'(1'(2'(2'(2'(1'(0'(2'(2'(1'(1'(2'(1'(2'(0'(2'(0'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(2'(1'(1'(0'(2'(2'(0'(1'(0'(0'(1'(2'(2'(2'(1'(2'(2'(1'(2'(1'(1'(1'(0'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(2'(2'(1'(0'(1'(2'(2'(0'(2'(2'(2'(1'(1'(1'(2'(1'(1'(1'(2'(1'(2'(0'(0'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(2'(2'(0'(2'(2'(2'(2'(0'(2'(0'(2'(1'(1'(1'(1'(0'(1'(2'(2'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(2'(1'(2'(2'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(1'(0'(0'(2'(2'(0'(1'(1'(1'(1'(1'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(2'(2'(0'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(1'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(1'(1'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(0'(2'(2'(2'(0'(2'(1'(2'(0'(2'(2'(2'(0'(1'(2'(2'(0'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(1'(2'(1'(1'(2'(1'(1'(2'(2'(2'(1'(0'(0'(0'(0'(2'(1'(2'(2'(1'(2'(1'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(1'(2'(1'(0'(2'(2'(2'(2'(1'(2'(1'(2'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(0'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(x_110))) :|: z = 1 + x_110, x_110 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_19))) :|: z = 1 + x_19, x_19 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_18))) :|: z = 1 + x_18, x_18 >= 0
   encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(x_113))) :|: z = 1 + x_113, x_113 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_112))) :|: z = 1 + x_112, x_112 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_111))) :|: z = 1 + x_111, x_111 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 2'(2'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_114))) :|: x_114 >= 0, z = 1 + x_114
   encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

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

   0'(z) -{ 1 }-> 2'(2'(2'(2'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(0'(2'(1'(1'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(2'(2'(2'(0'(2'(2'(2'(2'(1'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(2'(2'(0'(1'(1'(0'(0'(2'(0'(2'(2'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(2'(1'(2'(1'(0'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(2'(1'(1'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(2'(1'(2'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(2'(0'(1'(2'(2'(2'(1'(0'(0'(2'(1'(0'(2'(2'(1'(1'(0'(2'(2'(2'(2'(2'(2'(0'(2'(1'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(2'(0'(1'(2'(2'(1'(2'(1'(2'(0'(0'(1'(0'(1'(0'(1'(2'(0'(1'(0'(1'(1'(2'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(2'(0'(0'(1'(2'(0'(0'(1'(0'(2'(1'(1'(2'(0'(1'(2'(2'(1'(2'(2'(0'(2'(2'(0'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(1'(1'(1'(2'(0'(1'(0'(0'(0'(0'(2'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(1'(2'(2'(2'(1'(0'(2'(1'(2'(2'(1'(2'(0'(1'(2'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(2'(0'(2'(1'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(2'(2'(0'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(1'(2'(0'(2'(2'(2'(0'(1'(2'(2'(2'(1'(0'(1'(2'(2'(2'(0'(0'(0'(2'(0'(0'(0'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(1'(1'(1'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(0'(0'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 1'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(1'(2'(2'(2'(0'(1'(2'(2'(2'(2'(1'(2'(1'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(1'(0'(2'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(0'(2'(2'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 1'(2'(0'(2'(2'(2'(1'(2'(1'(2'(0'(2'(0'(2'(2'(1'(2'(2'(1'(1'(1'(1'(2'(0'(1'(0'(1'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 1'(2'(0'(1'(1'(2'(1'(2'(1'(2'(0'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 1'(1'(2'(2'(2'(2'(1'(2'(2'(2'(2'(1'(1'(0'(0'(1'(1'(2'(0'(1'(2'(1'(2'(0'(1'(2'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 1'(1'(2'(0'(1'(2'(2'(2'(2'(2'(2'(0'(2'(2'(2'(2'(2'(1'(2'(1'(0'(2'(0'(1'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(2'(1'(0'(0'(2'(0'(2'(1'(2'(1'(2'(1'(2'(2'(1'(2'(2'(1'(1'(2'(0'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(1'(2'(0'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(1'(0'(1'(1'(2'(2'(0'(1'(1'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(1'(2'(2'(1'(0'(1'(2'(1'(2'(1'(2'(2'(1'(2'(1'(2'(0'(0'(1'(0'(2'(0'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(2'(2'(2'(2'(2'(0'(2'(0'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(2'(2'(2'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(1'(2'(1'(1'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(2'(0'(1'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(1'(2'(0'(1'(1'(1'(2'(0'(1'(0'(1'(2'(2'(1'(2'(1'(2'(1'(1'(1'(2'(2'(2'(2'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(1'(2'(0'(1'(1'(2'(1'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(2'(1'(2'(0'(1'(0'(2'(2'(1'(2'(1'(2'(2'(0'(1'(2'(2'(0'(2'(1'(2'(2'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(1'(0'(1'(2'(2'(0'(1'(0'(1'(2'(1'(0'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(0'(1'(2'(0'(2'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(0'(1'(1'(2'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(2'(2'(2'(1'(2'(0'(2'(1'(2'(2'(2'(1'(2'(1'(1'(2'(1'(0'(2'(2'(0'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 0 }-> 0 :|: z >= 0
   0'(z) -{ 0 }-> 1 + z :|: z >= 0
   1'(z) -{ 1 }-> 2'(2'(2'(2'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(0'(0'(0'(2'(1'(1'(1'(0'(2'(0'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 2'(2'(2'(1'(0'(0'(2'(1'(2'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 2'(2'(2'(0'(2'(2'(2'(2'(0'(0'(0'(2'(2'(2'(2'(2'(0'(2'(1'(1'(1'(1'(2'(0'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 2'(2'(0'(0'(2'(1'(2'(0'(2'(1'(1'(2'(1'(1'(0'(2'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(2'(2'(2'(1'(2'(1'(2'(0'(2'(1'(2'(2'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 2'(0'(1'(2'(0'(0'(2'(2'(0'(2'(1'(1'(1'(2'(0'(0'(2'(2'(2'(1'(2'(0'(2'(2'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(2'(1'(2'(0'(2'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(0'(0'(0'(2'(2'(1'(2'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(0'(1'(2'(2'(0'(2'(1'(2'(2'(0'(2'(2'(2'(1'(1'(2'(1'(1'(0'(0'(1'(2'(2'(1'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(2'(0'(1'(2'(0'(0'(1'(2'(2'(0'(0'(2'(2'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(1'(2'(2'(2'(1'(2'(2'(2'(2'(1'(1'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(1'(2'(1'(2'(1'(2'(2'(2'(2'(2'(0'(0'(2'(2'(2'(0'(0'(0'(0'(1'(2'(0'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(2'(2'(2'(1'(2'(1'(2'(0'(2'(2'(2'(1'(0'(2'(0'(1'(2'(2'(2'(1'(2'(0'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(1'(2'(1'(2'(2'(2'(2'(1'(1'(2'(2'(2'(2'(0'(2'(0'(2'(0'(2'(1'(2'(1'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(2'(2'(0'(1'(2'(2'(0'(0'(1'(2'(2'(1'(0'(1'(2'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(2'(0'(0'(1'(0'(1'(2'(1'(2'(1'(2'(0'(1'(1'(0'(2'(2'(1'(2'(2'(1'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(0'(2'(1'(1'(1'(2'(1'(2'(0'(0'(2'(2'(2'(2'(1'(2'(2'(1'(2'(0'(2'(1'(2'(1'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 0'(2'(0'(2'(1'(2'(0'(0'(1'(2'(2'(2'(2'(1'(1'(0'(2'(2'(2'(0'(1'(2'(1'(2'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 0'(1'(2'(0'(2'(2'(0'(2'(1'(2'(1'(2'(1'(1'(0'(2'(2'(1'(1'(0'(2'(2'(1'(2'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 0'(0'(2'(0'(1'(2'(2'(0'(1'(2'(0'(1'(2'(2'(0'(0'(2'(1'(2'(1'(2'(2'(1'(2'(2'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 1 }-> 0'(0'(1'(2'(2'(2'(2'(1'(2'(1'(0'(0'(0'(0'(1'(2'(1'(2'(0'(1'(2'(0'(0'(2'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   1'(z) -{ 0 }-> 0 :|: z >= 0
   1'(z) -{ 0 }-> 1 + z :|: z >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(2'(2'(1'(2'(2'(0'(0'(0'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(2'(0'(2'(2'(2'(0'(0'(1'(2'(2'(0'(1'(2'(1'(2'(1'(2'(2'(0'(0'(1'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(2'(0'(2'(2'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(0'(0'(1'(2'(1'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(2'(0'(0'(0'(0'(1'(2'(1'(0'(1'(1'(1'(1'(2'(1'(2'(2'(0'(1'(2'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(0'(2'(0'(1'(1'(2'(0'(0'(2'(1'(2'(1'(1'(0'(1'(2'(2'(2'(1'(1'(0'(2'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(0'(1'(0'(0'(0'(1'(1'(2'(1'(2'(2'(1'(2'(2'(1'(2'(2'(1'(0'(0'(0'(0'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(2'(1'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(2'(1'(2'(1'(2'(0'(1'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(2'(0'(0'(2'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(1'(0'(0'(0'(2'(2'(0'(2'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(1'(0'(1'(0'(2'(2'(1'(1'(0'(0'(0'(2'(2'(2'(0'(1'(1'(2'(1'(2'(0'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(0'(1'(1'(1'(2'(2'(1'(1'(2'(0'(2'(0'(0'(1'(1'(1'(1'(2'(2'(2'(1'(0'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(2'(2'(0'(2'(1'(2'(0'(1'(1'(1'(1'(2'(2'(2'(0'(2'(1'(2'(0'(1'(1'(0'(1'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(1'(0'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(0'(2'(2'(0'(0'(2'(2'(2'(1'(2'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(0'(2'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(2'(2'(0'(1'(0'(2'(0'(1'(2'(0'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(0'(1'(1'(0'(1'(1'(1'(0'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(1'(2'(1'(2'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(2'(2'(2'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(2'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(2'(1'(2'(1'(2'(2'(2'(2'(0'(1'(0'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(1'(2'(2'(0'(1'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(0'(1'(0'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(0'(2'(2'(2'(0'(0'(2'(2'(1'(0'(2'(2'(2'(0'(1'(2'(2'(2'(0'(0'(0'(1'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(0'(1'(0'(2'(2'(1'(2'(0'(2'(1'(2'(1'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(2'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(0'(1'(0'(2'(2'(0'(0'(2'(1'(2'(1'(2'(2'(0'(0'(2'(0'(2'(2'(2'(1'(0'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(1'(0'(2'(1'(0'(2'(2'(0'(1'(1'(0'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(2'(1'(1'(0'(1'(2'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(0'(0'(1'(2'(2'(1'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(2'(2'(2'(2'(0'(2'(2'(1'(1'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(2'(0'(1'(1'(2'(1'(2'(2'(2'(0'(1'(0'(2'(0'(0'(2'(2'(2'(1'(2'(2'(1'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(2'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(1'(0'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(1'(1'(1'(1'(1'(2'(2'(2'(2'(1'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(2'(0'(1'(1'(1'(1'(1'(0'(2'(2'(0'(0'(2'(1'(1'(2'(0'(1'(2'(2'(2'(0'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(0'(0'(0'(0'(1'(0'(2'(2'(1'(2'(0'(0'(2'(2'(1'(1'(2'(2'(1'(2'(2'(2'(1'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(1'(2'(2'(2'(1'(0'(2'(2'(1'(1'(2'(1'(2'(0'(2'(0'(1'(2'(2'(0'(1'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(1'(1'(0'(2'(2'(0'(1'(0'(0'(1'(2'(2'(2'(1'(2'(2'(1'(2'(1'(1'(1'(0'(2'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(2'(2'(1'(0'(1'(2'(2'(0'(2'(2'(2'(1'(1'(1'(2'(1'(1'(1'(2'(1'(2'(0'(0'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(2'(2'(0'(2'(2'(2'(2'(0'(2'(0'(2'(1'(1'(1'(1'(0'(1'(2'(2'(2'(2'(1'(1'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(2'(1'(2'(2'(2'(0'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(1'(0'(0'(2'(2'(0'(1'(1'(1'(1'(1'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(2'(2'(0'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(1'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(1'(1'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(2'(0'(0'(0'(2'(2'(2'(0'(2'(1'(2'(0'(2'(2'(2'(0'(1'(2'(2'(0'(1'(2'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(1'(2'(1'(1'(2'(1'(1'(2'(2'(2'(1'(0'(0'(0'(0'(2'(1'(2'(2'(1'(2'(1'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(1'(2'(1'(0'(2'(2'(2'(2'(1'(2'(1'(2'(1'(2'(2'(2'(0'(1'(2'(0'(0'(2'(0'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(2'(0'(0'(2'(1'(0'(0'(2'(1'(2'(1'(1'(2'(2'(z - 22))))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 0 }-> 0 :|: z >= 0
   2'(z) -{ 0 }-> 1 + z :|: z >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 2'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 1'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encode_0(z) -{ 0 }-> 0'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0) :|: z >= 0
   encode_0(z) -{ 0 }-> 0 :|: z >= 0
   encode_1(z) -{ 0 }-> 1'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: z >= 0
   encode_1(z) -{ 0 }-> 0 :|: z >= 0
   encode_2(z) -{ 0 }-> 2'(2'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_2(z) -{ 0 }-> 2'(0) :|: z >= 0
   encode_2(z) -{ 0 }-> 0 :|: z >= 0


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

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

   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]

And the following fresh constants:    null_encArg, null_encode_0, null_encode_1, null_encode_2, null_0', null_1', null_2', const

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

(34)
Obligation:
Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is:

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

   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 0'(1'(2'(1'(1'(1'(2'(1'(2'(1'(2'(1'(0'(2'(2'(2'(2'(1'(0'(2'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(2'(1'(1'(1'(2'(1'(2'(0'(1'(1'(2'(1'(0'(2'(2'(1'(2'(1'(2'(0'(1'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(2'(2'(0'(1'(2'(2'(0'(0'(1'(2'(2'(1'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_2(x1))))))))))))))))))))))) -> 0'(2'(0'(2'(1'(2'(0'(0'(1'(2'(2'(2'(2'(1'(1'(0'(2'(2'(2'(0'(1'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(2'(0'(1'(1'(2'(0'(0'(2'(1'(2'(1'(1'(0'(1'(2'(2'(2'(1'(1'(0'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(0'(0'(1'(2'(2'(1'(2'(2'(1'(2'(1'(1'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(1'(2'(1'(0'(2'(1'(2'(1'(2'(0'(0'(1'(2'(2'(1'(2'(2'(2'(0'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(0'(2'(1'(2'(0'(2'(1'(1'(2'(1'(1'(0'(2'(2'(1'(2'(2'(1'(0'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(0'(1'(0'(0'(1'(0'(0'(1'(2'(0'(1'(2'(2'(2'(1'(2'(2'(2'(2'(1'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(1'(1'(2'(2'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(0'(2'(0'(2'(2'(1'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(0'(1'(0'(0'(1'(1'(1'(0'(1'(0'(2'(0'(1'(2'(1'(2'(1'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(0'(2'(2'(1'(2'(0'(1'(0'(2'(0'(2'(2'(2'(1'(0'(0'(1'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 1'(2'(0'(1'(1'(2'(1'(2'(1'(2'(0'(2'(2'(0'(1'(2'(0'(2'(2'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(2'(2'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(2'(0'(0'(0'(0'(0'(1'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(0'(1'(1'(0'(0'(2'(0'(2'(2'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(0'(2'(2'(2'(2'(1'(0'(0'(0'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(2'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(2'(1'(2'(1'(2'(2'(2'(2'(1'(1'(2'(2'(2'(2'(0'(2'(0'(2'(0'(2'(1'(2'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(2'(1'(2'(2'(2'(0'(1'(1'(2'(1'(2'(2'(1'(0'(2'(1'(2'(2'(0'(0'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(x1))))))))))))))))))))))) -> 0'(2'(0'(0'(2'(2'(2'(2'(2'(0'(2'(0'(1'(1'(1'(2'(2'(2'(1'(2'(0'(0'(0'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(0'(1'(0'(1'(2'(1'(2'(1'(2'(0'(1'(1'(0'(2'(2'(1'(2'(2'(1'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(1'(1'(2'(0'(2'(0'(0'(0'(0'(0'(0'(0'(0'(0'(0'(2'(2'(2'(2'(0'(2'(2'(1'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(0'(2'(0'(2'(0'(0'(0'(0'(1'(2'(0'(1'(2'(0'(0'(1'(2'(2'(0'(0'(2'(2'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(1'(1'(2'(2'(2'(2'(0'(1'(1'(0'(1'(2'(2'(0'(1'(0'(1'(2'(1'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 1'(2'(1'(1'(0'(2'(0'(2'(1'(2'(1'(2'(0'(1'(1'(2'(2'(2'(1'(1'(2'(0'(2'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 0'(2'(1'(1'(2'(2'(1'(0'(1'(2'(1'(2'(1'(2'(2'(1'(2'(1'(2'(0'(0'(1'(0'(2'(0'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 1'(0'(0'(0'(2'(1'(1'(1'(2'(1'(2'(0'(0'(2'(2'(2'(2'(1'(2'(2'(1'(2'(0'(2'(1'(2'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(2'(1'(0'(2'(0'(2'(1'(1'(0'(0'(2'(0'(2'(1'(1'(1'(1'(1'(2'(2'(2'(2'(1'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(0'(1'(2'(0'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(x1))))))))))))))))))))))) -> 2'(1'(2'(0'(1'(0'(2'(2'(1'(2'(0'(2'(1'(2'(1'(1'(2'(0'(0'(2'(0'(2'(0'(2'(1'(2'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))) -> 2'(2'(2'(2'(2'(0'(2'(2'(2'(0'(0'(1'(2'(2'(0'(1'(2'(1'(2'(1'(2'(2'(0'(0'(1'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(0'(2'(2'(2'(0'(0'(2'(2'(1'(0'(2'(2'(2'(0'(1'(2'(2'(2'(0'(0'(0'(1'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(0'(2'(2'(2'(0'(1'(2'(2'(2'(1'(0'(1'(2'(2'(2'(0'(0'(0'(2'(0'(0'(0'(1'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))) -> 1'(2'(2'(2'(1'(2'(0'(2'(1'(2'(0'(0'(2'(0'(1'(2'(2'(1'(0'(0'(0'(2'(2'(1'(2'(1'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(2'(2'(0'(1'(2'(1'(2'(0'(1'(1'(1'(1'(2'(0'(1'(0'(0'(0'(0'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 1'(0'(2'(2'(2'(2'(1'(2'(1'(2'(0'(2'(2'(2'(1'(0'(2'(0'(1'(2'(2'(2'(1'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
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   2'(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(x1))))))))))))))))))))))) -> 2'(2'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(2'(1'(2'(2'(2'(0'(1'(0'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_2(x1))))))))))))))))))))))) -> 2'(0'(0'(2'(2'(1'(1'(2'(2'(2'(0'(1'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 0'(1'(1'(1'(1'(2'(0'(1'(1'(2'(1'(1'(2'(1'(2'(2'(1'(2'(2'(2'(0'(2'(1'(2'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(x1))))))))))))))))))))))) -> 2'(0'(1'(2'(0'(0'(2'(0'(1'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(2'(1'(2'(2'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(2'(2'(2'(2'(0'(0'(2'(2'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_2(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(2'(1'(0'(2'(1'(2'(2'(1'(2'(0'(1'(2'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(0'(0'(0'(0'(0'(1'(0'(2'(2'(1'(2'(0'(0'(2'(2'(1'(1'(2'(2'(1'(2'(2'(2'(1'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))) -> 2'(0'(1'(1'(0'(0'(2'(2'(0'(1'(1'(1'(1'(1'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(2'(2'(0'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(2'(0'(1'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(0'(1'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))) -> 2'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(2'(0'(0'(2'(2'(0'(2'(1'(x1))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(x1))))))))))))))))))))))) -> 2'(0'(2'(1'(2'(2'(2'(1'(0'(2'(2'(1'(1'(2'(1'(2'(0'(2'(0'(1'(2'(2'(0'(1'(1'(2'(2'(x1))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(0'(0'(2'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(2'(2'(0'(1'(0'(2'(0'(1'(2'(0'(0'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))) -> 2'(2'(1'(1'(1'(0'(2'(2'(2'(1'(2'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(2'(1'(2'(2'(2'(2'(x1))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_2(x1))))))))))))))))))))))) -> 0'(0'(0'(1'(2'(2'(2'(1'(2'(0'(2'(1'(2'(2'(2'(1'(2'(1'(1'(2'(1'(0'(2'(2'(0'(0'(2'(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]
   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]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   2'(x0) -> c_2(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]

The TRS has the following type information:
0' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_1 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_0 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_2 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
1' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
2' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encArg :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encode_1 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encode_2 :: cons_0:cons_1:cons_2 -> c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encArg :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_0 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_1 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_2 :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_0' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_1' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_2' :: c_2:c_1:c_0:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
const :: cons_0:cons_1:cons_2

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

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

   null_encArg => 0
   null_encode_0 => 0
   null_encode_1 => 0
   null_encode_2 => 0
   null_0' => 0
   null_1' => 0
   null_2' => 0
   const => 0

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

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

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

Only complete derivations are relevant for the runtime complexity.

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

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(2(2(1(0(1(2(1(2(1(2(2(1(2(1(2(0(0(1(0(2(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(2(2(0(1(2(1(2(0(1(1(1(1(2(0(1(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(1(2(2(2(2(1(2(2(2(2(1(1(0(0(1(1(2(0(1(2(1(2(0(1(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(1(2(2(1(2(1(2(0(0(1(0(1(0(1(2(0(1(0(1(1(2(1(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(2(2(1(0(0(2(0(2(1(2(1(2(1(2(2(1(2(2(1(1(2(0(1(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(2(0(1(2(2(2(1(0(0(2(1(0(2(2(1(1(0(2(2(2(2(2(2(0(2(1(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(2(2(1(2(0(1(0(2(2(1(2(1(2(2(0(1(2(2(0(2(1(2(2(0(2(z0)))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_1(z0))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(1(2(0(2(0(2(2(1(2(2(1(1(1(1(2(0(1(0(1(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 1(1(2(0(1(2(2(2(2(2(2(0(2(2(2(2(2(1(2(1(0(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(2(0(1(1(1(2(0(1(0(1(2(2(1(2(1(2(1(1(1(2(2(2(2(1(2(z0)))))))))))))))))))))))))))
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   2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(1(0(2(2(0(1(0(0(1(2(2(2(1(2(2(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(1(0(1(1(1(2(2(1(1(2(0(2(0(0(1(1(1(1(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(2(0(2(2(2(2(0(2(0(2(1(1(1(1(0(1(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c6
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> c7(0'(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(z0))))))))))), 1'(0(2(2(2(0(1(1(2(2(z0)))))))))), 0'(2(2(2(0(1(1(2(2(z0))))))))), 2'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   0'(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c9(0'(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0))))))))))))))))))))))))))), 0'(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))), 1'(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0))))))))))))))))))))))))), 1'(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))), 2'(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0))))))))))))))))))))))), 2'(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))), 1'(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0))))))))))))))))))))), 2'(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0))))))))))))))))))), 1'(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))), 2'(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0))))))))))))))))), 1'(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))), 0'(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0))))))))))))))), 2'(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))), 2'(2(0(2(0(2(2(1(2(1(0(1(2(z0))))))))))))), 2'(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))), 0'(2(0(2(2(1(2(1(0(1(2(z0))))))))))), 2'(0(2(2(1(2(1(0(1(2(z0)))))))))), 0'(2(2(1(2(1(0(1(2(z0))))))))), 2'(2(1(2(1(0(1(2(z0)))))))), 2'(1(2(1(0(1(2(z0))))))), 1'(2(1(0(1(2(z0)))))), 2'(1(0(1(2(z0))))), 1'(0(1(2(z0)))), 0'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   0'(c_2(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c40(0'(0(0(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0))))))))))))))))))))))))))), 0'(0(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0)))))))))))))))))))))))))), 0'(1(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0)))))))))))))))))))))))), 2'(2(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0))))))))))))))))))))))), 2'(2(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0)))))))))))))))))))))), 2'(1(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0))))))))))))))))))))), 1'(2(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0)))))))))))))))))))), 2'(0(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0))))))))))))))))))), 0'(2(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0)))))))))))))))))), 2'(1(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0))))))))))))))))), 1'(2(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0)))))))))))))))), 2'(2(2(1(2(1(1(2(1(0(2(2(0(0(2(z0))))))))))))))), 2'(2(1(2(1(1(2(1(0(2(2(0(0(2(z0)))))))))))))), 2'(1(2(1(1(2(1(0(2(2(0(0(2(z0))))))))))))), 1'(2(1(1(2(1(0(2(2(0(0(2(z0)))))))))))), 2'(1(1(2(1(0(2(2(0(0(2(z0))))))))))), 1'(1(2(1(0(2(2(0(0(2(z0)))))))))), 1'(2(1(0(2(2(0(0(2(z0))))))))), 2'(1(0(2(2(0(0(2(z0)))))))), 1'(0(2(2(0(0(2(z0))))))), 0'(2(2(0(0(2(z0)))))), 2'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   1'(z0) -> c41
   1'(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))) -> c42(1'(0(0(2(0(0(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0))))))))))))))))))))))))))), 0'(0(2(0(0(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0)))))))))))))))))))))))))), 0'(2(0(0(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0))))))))))))))))))))))))), 2'(0(0(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0)))))))))))))))))))))))), 0'(0(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0))))))))))))))))))))))), 0'(1(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0)))))))))))))))))))))), 1'(1(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0))))))))))))))))))))), 1'(2(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0)))))))))))))))))))), 2'(2(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0))))))))))))))))))), 2'(2(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0)))))))))))))))))), 2'(2(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0))))))))))))))))), 2'(0(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0)))))))))))))))), 0'(1(2(2(0(0(1(2(2(1(0(1(2(1(2(z0))))))))))))))), 1'(2(2(0(0(1(2(2(1(0(1(2(1(2(z0)))))))))))))), 2'(2(0(0(1(2(2(1(0(1(2(1(2(z0))))))))))))), 2'(0(0(1(2(2(1(0(1(2(1(2(z0)))))))))))), 0'(0(1(2(2(1(0(1(2(1(2(z0))))))))))), 0'(1(2(2(1(0(1(2(1(2(z0)))))))))), 1'(2(2(1(0(1(2(1(2(z0))))))))), 2'(2(1(0(1(2(1(2(z0)))))))), 2'(1(0(1(2(1(2(z0))))))), 1'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> c43(0'(2(0(2(1(2(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0))))))))))))))))))))))))))), 2'(0(2(1(2(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0)))))))))))))))))))))))))), 0'(2(1(2(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0))))))))))))))))))))))))), 2'(1(2(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0)))))))))))))))))))))))), 1'(2(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0))))))))))))))))))))))), 2'(0(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0)))))))))))))))))))))), 0'(0(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0))))))))))))))))))))), 0'(1(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0)))))))))))))))))))), 1'(2(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0))))))))))))))))))), 2'(2(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0)))))))))))))))))), 2'(2(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0))))))))))))))))), 2'(2(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(0(1(2(1(2(2(2(2(z0))))))))))))))), 1'(1(0(2(2(2(0(1(2(1(2(2(2(2(z0)))))))))))))), 1'(0(2(2(2(0(1(2(1(2(2(2(2(z0))))))))))))), 0'(2(2(2(0(1(2(1(2(2(2(2(z0)))))))))))), 2'(2(2(0(1(2(1(2(2(2(2(z0))))))))))), 2'(2(0(1(2(1(2(2(2(2(z0)))))))))), 2'(0(1(2(1(2(2(2(2(z0))))))))), 0'(1(2(1(2(2(2(2(z0)))))))), 1'(2(1(2(2(2(2(z0))))))), 2'(1(2(2(2(2(z0)))))), 1'(2(2(2(2(z0))))), 2'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   1'(c_2(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_2(z0))))))))))))))))))))))) -> c61(2'(2(2(2(2(2(2(1(2(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0))))))))))))))))))))))))))), 2'(2(2(2(2(2(1(2(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0)))))))))))))))))))))))))), 2'(2(2(2(2(1(2(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0))))))))))))))))))))))))), 2'(2(2(2(1(2(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(2(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0))))))))))))))))))))))), 2'(2(1(2(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0)))))))))))))))))))))), 2'(1(2(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0))))))))))))))))))))), 1'(2(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0)))))))))))))))))))), 2'(2(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0))))))))))))))))))), 2'(0(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0)))))))))))))))))), 0'(2(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0))))))))))))))))), 2'(2(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0)))))))))))))))), 2'(1(0(0(0(2(1(1(1(0(2(0(2(2(2(z0))))))))))))))), 1'(0(0(0(2(1(1(1(0(2(0(2(2(2(z0)))))))))))))), 0'(0(0(2(1(1(1(0(2(0(2(2(2(z0))))))))))))), 0'(0(2(1(1(1(0(2(0(2(2(2(z0)))))))))))), 0'(2(1(1(1(0(2(0(2(2(2(z0))))))))))), 2'(1(1(1(0(2(0(2(2(2(z0)))))))))), 1'(1(1(0(2(0(2(2(2(z0))))))))), 1'(1(0(2(0(2(2(2(z0)))))))), 1'(0(2(0(2(2(2(z0))))))), 0'(2(0(2(2(2(z0)))))), 2'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(z0) -> c62
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   2'(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> c64(2'(2(2(0(2(0(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0))))))))))))))))))))))))))), 2'(2(0(2(0(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0)))))))))))))))))))))))))), 2'(0(2(0(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0))))))))))))))))))))))), 0'(1(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0)))))))))))))))))))))), 1'(1(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0))))))))))))))))))))), 1'(2(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0)))))))))))))))))))), 2'(0(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0))))))))))))))))))), 0'(0(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0)))))))))))))))))), 0'(2(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0))))))))))))))))), 2'(1(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0)))))))))))))))), 1'(2(1(1(0(1(2(2(2(1(1(0(2(1(2(z0))))))))))))))), 2'(1(1(0(1(2(2(2(1(1(0(2(1(2(z0)))))))))))))), 1'(1(0(1(2(2(2(1(1(0(2(1(2(z0))))))))))))), 1'(0(1(2(2(2(1(1(0(2(1(2(z0)))))))))))), 0'(1(2(2(2(1(1(0(2(1(2(z0))))))))))), 1'(2(2(2(1(1(0(2(1(2(z0)))))))))), 2'(2(2(1(1(0(2(1(2(z0))))))))), 2'(2(1(1(0(2(1(2(z0)))))))), 2'(1(1(0(2(1(2(z0))))))), 1'(1(0(2(1(2(z0)))))), 1'(0(2(1(2(z0))))), 0'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
S tuples:
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   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c100(2'(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))))), 0'(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))), 1'(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))), 0'(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))), 2'(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))), 2'(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))), 0'(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))), 1'(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))), 1'(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))), 1'(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))), 1'(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))), 1'(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))), 2'(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))), 2'(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))), 1'(2(1(2(1(0(0(0(2(2(0(z0))))))))))), 2'(1(2(1(0(0(0(2(2(0(z0)))))))))), 1'(2(1(0(0(0(2(2(0(z0))))))))), 2'(1(0(0(0(2(2(0(z0)))))))), 1'(0(0(0(2(2(0(z0))))))), 0'(0(0(2(2(0(z0)))))), 0'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
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   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, 0'_1, 1'_1, 2'_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c41, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c59_27, c60_27, c61_27, c62, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c79_27, c80_27, c81_27, c82_27, c83_27, c84_27, c85_27, c86_27, c87_27, c88_27, c89_27, c90_27, c91_27, c92_27, c93_27, c94_27, c95_27, c96_27, c97_27, c98_27, c99_27, c100_27, c101_27, c102_27, c103_27


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   2'(z0) -> c62
   0'(z0) -> c6
   1'(z0) -> c41

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 0(2(1(1(2(2(1(0(1(2(1(2(1(2(2(1(2(1(2(0(0(1(0(2(0(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 0(0(1(2(2(0(1(1(1(2(2(0(2(1(2(2(0(2(1(0(1(2(0(2(1(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(1(2(2(2(1(0(1(2(2(2(0(0(0(2(0(0(0(1(2(z0)))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(2(2(2(0(1(2(1(2(0(1(1(1(1(2(0(1(0(0(0(0(2(2(2(2(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 1(1(2(2(2(2(1(2(2(2(2(1(1(0(0(1(1(2(0(1(2(1(2(0(1(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(1(2(2(1(2(1(2(0(0(1(0(1(0(1(2(0(1(0(1(1(2(1(2(2(z0)))))))))))))))))))))))))))
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   2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(0(0(0(0(2(2(1(2(1(0(0(1(2(2(1(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(2(1(0(2(2(1(2(2(0(0(2(1(0(0(2(1(2(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(1(0(1(0(2(2(1(1(0(0(0(2(2(2(0(1(1(2(1(2(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(2(2(2(1(2(1(2(1(0(2(2(2(2(1(2(1(2(2(2(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(1(0(2(2(0(1(0(0(1(2(2(2(1(2(2(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(1(0(1(1(1(2(2(1(1(2(0(2(0(0(1(1(1(1(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(2(0(2(2(2(2(0(2(0(2(1(1(1(1(0(1(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0))
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   0'(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))) -> c8(2'(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0))))))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))))))), 2'(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0))))))))))))))))))))))))), 1'(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))))), 2'(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0))))))))))))))))))))))), 1'(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))), 2'(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0))))))))))))))))))))), 1'(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))), 0'(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0))))))))))))))))))), 2'(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))), 1'(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0))))))))))))))))), 2'(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))), 1'(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0))))))))))))))), 2'(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))), 0'(0(1(2(2(1(2(2(2(0(2(2(2(z0))))))))))))), 0'(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))), 1'(2(2(1(2(2(2(0(2(2(2(z0))))))))))), 2'(2(1(2(2(2(0(2(2(2(z0)))))))))), 2'(1(2(2(2(0(2(2(2(z0))))))))), 1'(2(2(2(0(2(2(2(z0)))))))), 2'(2(2(0(2(2(2(z0))))))), 2'(2(0(2(2(2(z0)))))), 2'(0(2(2(2(z0))))), 0'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
S tuples:
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   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> c99(2'(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))), 0'(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))), 0'(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))), 0'(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))), 1'(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))), 0'(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))), 2'(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))), 2'(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))), 1'(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))), 2'(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))), 0'(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))), 0'(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))), 2'(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))), 2'(1(1(2(2(1(2(2(2(1(0(z0))))))))))), 1'(1(2(2(1(2(2(2(1(0(z0)))))))))), 1'(2(2(1(2(2(2(1(0(z0))))))))), 2'(2(1(2(2(2(1(0(z0)))))))), 2'(1(2(2(2(1(0(z0))))))), 1'(2(2(2(1(0(z0)))))), 2'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c100(2'(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))))), 0'(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))), 1'(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))), 0'(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))), 2'(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))), 2'(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))), 0'(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))), 1'(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))), 1'(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))), 1'(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))), 1'(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))), 1'(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))), 2'(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))), 2'(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))), 1'(2(1(2(1(0(0(0(2(2(0(z0))))))))))), 2'(1(2(1(0(0(0(2(2(0(z0)))))))))), 1'(2(1(0(0(0(2(2(0(z0))))))))), 2'(1(0(0(0(2(2(0(z0)))))))), 1'(0(0(0(2(2(0(z0))))))), 0'(0(0(2(2(0(z0)))))), 0'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, 0'_1, 1'_1, 2'_1

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c59_27, c60_27, c61_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c79_27, c80_27, c81_27, c82_27, c83_27, c84_27, c85_27, c86_27, c87_27, c88_27, c89_27, c90_27, c91_27, c92_27, c93_27, c94_27, c95_27, c96_27, c97_27, c98_27, c99_27, c100_27, c101_27, c102_27, c103_27


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))
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   2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(2(2(2(0(2(2(1(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(1(0(2(0(2(1(1(0(0(2(0(2(1(1(1(1(1(2(2(2(2(1(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(1(2(0(2(1(2(1(1(2(0(0(2(0(2(0(2(1(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(2(0(0(1(2(2(0(1(2(1(2(1(2(2(0(0(1(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(0(2(2(1(0(2(2(2(0(1(2(2(2(0(0(0(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(0(0(0(2(2(2(0(2(1(2(0(2(2(2(0(1(2(2(0(1(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(0(0(0(0(2(2(1(2(1(0(0(1(2(2(1(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(2(1(0(2(2(1(2(2(0(0(2(1(0(0(2(1(2(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(1(0(1(0(2(2(1(1(0(0(0(2(2(2(0(1(1(2(1(2(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(2(2(2(1(2(1(2(1(0(2(2(2(2(1(2(1(2(2(2(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(1(0(2(2(0(1(0(0(1(2(2(2(1(2(2(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(1(0(1(1(1(2(2(1(1(2(0(2(0(0(1(1(1(1(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(2(0(2(2(2(2(0(2(0(2(1(1(1(1(0(1(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> c7(0'(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(z0))))))))))), 1'(0(2(2(2(0(1(1(2(2(z0)))))))))), 0'(2(2(2(0(1(1(2(2(z0))))))))), 2'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c100(2'(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))))), 0'(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))), 1'(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))), 0'(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))), 2'(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))), 2'(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))), 0'(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))), 1'(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))), 1'(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))), 1'(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))), 1'(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))), 1'(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))), 2'(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))), 2'(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))), 1'(2(1(2(1(0(0(0(2(2(0(z0))))))))))), 2'(1(2(1(0(0(0(2(2(0(z0)))))))))), 1'(2(1(0(0(0(2(2(0(z0))))))))), 2'(1(0(0(0(2(2(0(z0)))))))), 1'(0(0(0(2(2(0(z0))))))), 0'(0(0(2(2(0(z0)))))), 0'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_0(z0) -> c6(ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_1(z0) -> c6(ENCARG(z0))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCODE_2(z0) -> c6(ENCARG(z0))
S tuples:
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   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> c99(2'(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))), 0'(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))), 0'(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))), 0'(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))), 1'(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))), 0'(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))), 2'(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))), 2'(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))), 1'(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))), 2'(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))), 0'(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))), 0'(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))), 2'(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))), 2'(1(1(2(2(1(2(2(2(1(0(z0))))))))))), 1'(1(2(2(1(2(2(2(1(0(z0)))))))))), 1'(2(2(1(2(2(2(1(0(z0))))))))), 2'(2(1(2(2(2(1(0(z0)))))))), 2'(1(2(2(2(1(0(z0))))))), 1'(2(2(2(1(0(z0)))))), 2'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c100(2'(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))))), 0'(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))), 1'(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))), 0'(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))), 2'(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))), 2'(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))), 0'(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))), 1'(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))), 1'(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))), 1'(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))), 1'(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))), 1'(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))), 2'(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))), 2'(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))), 1'(2(1(2(1(0(0(0(2(2(0(z0))))))))))), 2'(1(2(1(0(0(0(2(2(0(z0)))))))))), 1'(2(1(0(0(0(2(2(0(z0))))))))), 2'(1(0(0(0(2(2(0(z0)))))))), 1'(0(0(0(2(2(0(z0))))))), 0'(0(0(2(2(0(z0)))))), 0'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c_2, c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c59_27, c60_27, c61_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c79_27, c80_27, c81_27, c82_27, c83_27, c84_27, c85_27, c86_27, c87_27, c88_27, c89_27, c90_27, c91_27, c92_27, c93_27, c94_27, c95_27, c96_27, c97_27, c98_27, c99_27, c100_27, c101_27, c102_27, c103_27, c6_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 3 leading nodes:
   ENCODE_0(z0) -> c6(ENCARG(z0))
   ENCODE_1(z0) -> c6(ENCARG(z0))
   ENCODE_2(z0) -> c6(ENCARG(z0))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))
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   2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(2(2(2(0(2(2(1(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(1(0(2(0(2(1(1(0(0(2(0(2(1(1(1(1(1(2(2(2(2(1(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(1(2(0(2(1(2(1(1(2(0(0(2(0(2(0(2(1(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(2(0(0(1(2(2(0(1(2(1(2(1(2(2(0(0(1(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(0(2(2(1(0(2(2(2(0(1(2(2(2(0(0(0(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(0(0(0(2(2(2(0(2(1(2(0(2(2(2(0(1(2(2(0(1(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(0(0(0(0(2(2(1(2(1(0(0(1(2(2(1(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(2(1(0(2(2(1(2(2(0(0(2(1(0(0(2(1(2(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(1(0(1(0(2(2(1(1(0(0(0(2(2(2(0(1(1(2(1(2(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(2(2(2(1(2(1(2(1(0(2(2(2(2(1(2(1(2(2(2(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(1(0(2(2(0(1(0(0(1(2(2(2(1(2(2(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(1(0(1(1(1(2(2(1(1(2(0(2(0(0(1(1(1(1(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(2(0(2(2(2(2(0(2(0(2(1(1(1(1(0(1(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> c7(0'(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(z0))))))))))), 1'(0(2(2(2(0(1(1(2(2(z0)))))))))), 0'(2(2(2(0(1(1(2(2(z0))))))))), 2'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c100(2'(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))))), 0'(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))), 1'(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))), 0'(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))), 2'(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))), 2'(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))), 0'(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))), 1'(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))), 1'(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))), 1'(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))), 1'(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))), 1'(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))), 2'(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))), 2'(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))), 1'(2(1(2(1(0(0(0(2(2(0(z0))))))))))), 2'(1(2(1(0(0(0(2(2(0(z0)))))))))), 1'(2(1(0(0(0(2(2(0(z0))))))))), 2'(1(0(0(0(2(2(0(z0)))))))), 1'(0(0(0(2(2(0(z0))))))), 0'(0(0(2(2(0(z0)))))), 0'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
S tuples:
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   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> c99(2'(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))), 0'(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))), 0'(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))), 0'(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))), 1'(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))), 0'(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))), 2'(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))), 2'(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))), 1'(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))), 2'(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))), 0'(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))), 0'(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))), 2'(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))), 2'(1(1(2(2(1(2(2(2(1(0(z0))))))))))), 1'(1(2(2(1(2(2(2(1(0(z0)))))))))), 1'(2(2(1(2(2(2(1(0(z0))))))))), 2'(2(1(2(2(2(1(0(z0)))))))), 2'(1(2(2(2(1(0(z0))))))), 1'(2(2(2(1(0(z0)))))), 2'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   0_1, 2_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c_2, c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c59_27, c60_27, c61_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c79_27, c80_27, c81_27, c82_27, c83_27, c84_27, c85_27, c86_27, c87_27, c88_27, c89_27, c90_27, c91_27, c92_27, c93_27, c94_27, c95_27, c96_27, c97_27, c98_27, c99_27, c100_27, c101_27, c102_27, c103_27, c6_1


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

(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))
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   2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(2(2(2(0(2(2(1(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(1(0(2(0(2(1(1(0(0(2(0(2(1(1(1(1(1(2(2(2(2(1(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(1(2(0(2(1(2(1(1(2(0(0(2(0(2(0(2(1(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(2(0(0(1(2(2(0(1(2(1(2(1(2(2(0(0(1(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(0(2(2(1(0(2(2(2(0(1(2(2(2(0(0(0(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(0(0(0(2(2(2(0(2(1(2(0(2(2(2(0(1(2(2(0(1(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(0(0(0(0(2(2(1(2(1(0(0(1(2(2(1(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(2(1(0(2(2(1(2(2(0(0(2(1(0(0(2(1(2(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(1(0(1(0(2(2(1(1(0(0(0(2(2(2(0(1(1(2(1(2(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(2(2(2(1(2(1(2(1(0(2(2(2(2(1(2(1(2(2(2(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(1(0(2(2(0(1(0(0(1(2(2(2(1(2(2(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(1(0(1(1(1(2(2(1(1(2(0(2(0(0(1(1(1(1(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(2(0(2(2(2(2(0(2(0(2(1(1(1(1(0(1(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> c7(0'(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(z0))))))))))), 1'(0(2(2(2(0(1(1(2(2(z0)))))))))), 0'(2(2(2(0(1(1(2(2(z0))))))))), 2'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c100(2'(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))))), 0'(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))), 1'(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))), 0'(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))), 2'(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))), 2'(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))), 0'(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))), 1'(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))), 1'(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))), 1'(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))), 1'(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))), 1'(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))), 2'(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))), 2'(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))), 1'(2(1(2(1(0(0(0(2(2(0(z0))))))))))), 2'(1(2(1(0(0(0(2(2(0(z0)))))))))), 1'(2(1(0(0(0(2(2(0(z0))))))))), 2'(1(0(0(0(2(2(0(z0)))))))), 1'(0(0(0(2(2(0(z0))))))), 0'(0(0(2(2(0(z0)))))), 0'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
S tuples:
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   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> c99(2'(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))), 0'(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))), 0'(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))), 0'(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))), 1'(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))), 0'(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))), 2'(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))), 2'(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))), 1'(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))), 2'(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))), 0'(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))), 0'(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))), 2'(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))), 2'(1(1(2(2(1(2(2(2(1(0(z0))))))))))), 1'(1(2(2(1(2(2(2(1(0(z0)))))))))), 1'(2(2(1(2(2(2(1(0(z0))))))))), 2'(2(1(2(2(2(1(0(z0)))))))), 2'(1(2(2(2(1(0(z0))))))), 1'(2(2(2(1(0(z0)))))), 2'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c100(2'(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))))), 0'(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))), 1'(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))), 0'(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))), 2'(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))), 2'(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))), 0'(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))), 1'(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))), 1'(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))), 1'(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))), 1'(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))), 1'(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))), 2'(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))), 2'(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))), 1'(2(1(2(1(0(0(0(2(2(0(z0))))))))))), 2'(1(2(1(0(0(0(2(2(0(z0)))))))))), 1'(2(1(0(0(0(2(2(0(z0))))))))), 2'(1(0(0(0(2(2(0(z0)))))))), 1'(0(0(0(2(2(0(z0))))))), 0'(0(0(2(2(0(z0)))))), 0'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c_2, c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c59_27, c60_27, c61_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c79_27, c80_27, c81_27, c82_27, c83_27, c84_27, c85_27, c86_27, c87_27, c88_27, c89_27, c90_27, c91_27, c92_27, c93_27, c94_27, c95_27, c96_27, c97_27, c98_27, c99_27, c100_27, c101_27, c102_27, c103_27, c6_1


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

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))
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   2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(1(0(2(0(2(1(1(0(0(2(0(2(1(1(1(1(1(2(2(2(2(1(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(1(2(0(2(1(2(1(1(2(0(0(2(0(2(0(2(1(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(2(0(0(1(2(2(0(1(2(1(2(1(2(2(0(0(1(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(0(2(2(1(0(2(2(2(0(1(2(2(2(0(0(0(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(0(0(0(2(2(2(0(2(1(2(0(2(2(2(0(1(2(2(0(1(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(0(0(0(0(2(2(1(2(1(0(0(1(2(2(1(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(2(1(0(2(2(1(2(2(0(0(2(1(0(0(2(1(2(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(1(0(1(0(2(2(1(1(0(0(0(2(2(2(0(1(1(2(1(2(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(2(2(2(1(2(1(2(1(0(2(2(2(2(1(2(1(2(2(2(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(1(0(2(2(0(1(0(0(1(2(2(2(1(2(2(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(1(0(1(1(1(2(2(1(1(2(0(2(0(0(1(1(1(1(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(2(0(2(2(2(2(0(2(0(2(1(1(1(1(0(1(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> c7(0'(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(z0))))))))))), 1'(0(2(2(2(0(1(1(2(2(z0)))))))))), 0'(2(2(2(0(1(1(2(2(z0))))))))), 2'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
S tuples:
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   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> c99(2'(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))), 0'(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))), 0'(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))), 0'(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))), 1'(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))), 0'(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))), 2'(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))), 2'(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))), 1'(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))), 2'(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))), 0'(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))), 0'(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))), 2'(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))), 2'(1(1(2(2(1(2(2(2(1(0(z0))))))))))), 1'(1(2(2(1(2(2(2(1(0(z0)))))))))), 1'(2(2(1(2(2(2(1(0(z0))))))))), 2'(2(1(2(2(2(1(0(z0)))))))), 2'(1(2(2(2(1(0(z0))))))), 1'(2(2(2(1(0(z0)))))), 2'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c100(2'(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))))), 0'(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))), 1'(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))), 0'(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))), 2'(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))), 2'(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))), 0'(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))), 1'(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))), 1'(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))), 1'(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))), 1'(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))), 1'(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))), 2'(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))), 2'(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))), 1'(2(1(2(1(0(0(0(2(2(0(z0))))))))))), 2'(1(2(1(0(0(0(2(2(0(z0)))))))))), 1'(2(1(0(0(0(2(2(0(z0))))))))), 2'(1(0(0(0(2(2(0(z0)))))))), 1'(0(0(0(2(2(0(z0))))))), 0'(0(0(2(2(0(z0)))))), 0'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c1_2, c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c59_27, c60_27, c61_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c79_27, c80_27, c81_27, c82_27, c83_27, c84_27, c85_27, c86_27, c87_27, c88_27, c89_27, c90_27, c91_27, c92_27, c93_27, c94_27, c95_27, c96_27, c97_27, c98_27, c99_27, c100_27, c101_27, c102_27, c103_27, c6_1, c_2


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))
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   2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(2(0(0(0(0(0(0(0(0(0(0(2(2(2(2(0(2(2(1(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_1(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(1(0(2(0(2(1(1(0(0(2(0(2(1(1(1(1(1(2(2(2(2(1(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(1(2(0(2(1(2(1(1(2(0(0(2(0(2(0(2(1(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(2(2(2(0(0(1(2(2(0(1(2(1(2(1(2(2(0(0(1(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(2(2(2(0(0(2(2(1(0(2(2(2(0(1(2(2(2(0(0(0(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(2(0(0(0(2(2(2(0(2(1(2(0(2(2(2(0(1(2(2(0(1(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(2(1(2(2(0(0(0(0(2(2(1(2(1(0(0(1(2(2(1(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(0(0(1(2(1(0(2(2(1(2(2(0(0(2(1(0(0(2(1(2(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(1(0(1(0(2(2(1(1(0(0(0(2(2(2(0(1(1(2(1(2(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(2(2(2(1(2(1(2(1(0(2(2(2(2(1(2(1(2(2(2(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(1(0(2(2(0(1(0(0(1(2(2(2(1(2(2(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(1(0(1(1(1(2(2(1(1(2(0(2(0(0(1(1(1(1(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(2(0(2(2(2(2(0(2(0(2(1(1(1(1(0(1(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> c7(0'(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(z0))))))))))), 1'(0(2(2(2(0(1(1(2(2(z0)))))))))), 0'(2(2(2(0(1(1(2(2(z0))))))))), 2'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
S tuples:
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   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> c99(2'(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))), 0'(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))), 0'(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))), 0'(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))), 1'(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))), 0'(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))), 2'(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))), 2'(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))), 1'(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))), 2'(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))), 0'(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))), 0'(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))), 2'(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))), 2'(1(1(2(2(1(2(2(2(1(0(z0))))))))))), 1'(1(2(2(1(2(2(2(1(0(z0)))))))))), 1'(2(2(1(2(2(2(1(0(z0))))))))), 2'(2(1(2(2(2(1(0(z0)))))))), 2'(1(2(2(2(1(0(z0))))))), 1'(2(2(2(1(0(z0)))))), 2'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1

Compound Symbols:   c2_2, c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c59_27, c60_27, c61_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c79_27, c80_27, c81_27, c82_27, c83_27, c84_27, c85_27, c86_27, c87_27, c88_27, c89_27, c90_27, c91_27, c92_27, c93_27, c94_27, c95_27, c96_27, c97_27, c98_27, c99_27, c100_27, c101_27, c102_27, c103_27, c6_1, c_2, c1_2


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 1(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(0(2(2(2(2(1(0(0(0(1(2(2(2(2(0(1(2(1(2(0(1(2(0(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(1(2(2(1(2(2(2(0(1(1(2(1(2(2(1(0(2(1(2(2(0(0(1(2(z0)))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))) -> 0(2(0(0(2(2(2(2(2(0(2(0(1(1(1(2(2(2(1(2(0(0(0(2(2(2(0(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 0(0(1(2(2(1(1(2(2(2(2(0(1(1(0(1(2(2(0(1(0(1(2(1(0(2(2(z0)))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 1(2(1(1(0(2(0(2(1(2(1(2(0(1(1(2(2(2(1(1(2(0(2(2(1(2(2(z0)))))))))))))))))))))))))))
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   2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(1(1(0(1(0(2(2(1(1(0(0(0(2(2(2(0(1(1(2(1(2(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(2(2(2(1(2(1(2(1(0(2(2(2(2(1(2(1(2(2(2(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(1(0(2(2(0(1(0(0(1(2(2(2(1(2(2(1(2(1(1(1(0(2(0(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(1(0(1(1(1(2(2(1(1(2(0(2(0(0(1(1(1(1(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
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   2(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))))
Tuples:
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   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
S tuples:
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   2'(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> c99(2'(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))))), 1'(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))), 0'(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))))), 0'(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))), 0'(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))))), 1'(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))), 0'(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))))), 2'(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))), 2'(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))))), 1'(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))), 2'(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))))), 0'(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))), 0'(2(2(1(1(2(2(1(2(2(2(1(0(z0))))))))))))), 2'(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))), 2'(1(1(2(2(1(2(2(2(1(0(z0))))))))))), 1'(1(2(2(1(2(2(2(1(0(z0)))))))))), 1'(2(2(1(2(2(2(1(0(z0))))))))), 2'(2(1(2(2(2(1(0(z0)))))))), 2'(1(2(2(2(1(0(z0))))))), 1'(2(2(2(1(0(z0)))))), 2'(2(2(1(0(z0))))), 2'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
   2'(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> c100(2'(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))))), 0'(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))), 1'(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))))), 1'(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))), 0'(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))))), 0'(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))), 2'(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))))), 2'(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))), 0'(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))))), 1'(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))), 1'(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))))), 1'(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))), 1'(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))))), 1'(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))), 2'(2(1(2(1(2(1(0(0(0(2(2(0(z0))))))))))))), 2'(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))), 1'(2(1(2(1(0(0(0(2(2(0(z0))))))))))), 2'(1(2(1(0(0(0(2(2(0(z0)))))))))), 1'(2(1(0(0(0(2(2(0(z0))))))))), 2'(1(0(0(0(2(2(0(z0)))))))), 1'(0(0(0(2(2(0(z0))))))), 0'(0(0(2(2(0(z0)))))), 0'(0(2(2(0(z0))))), 0'(2(2(0(z0)))), 2'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> c101(2'(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))))), 1'(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))), 2'(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))))), 2'(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))), 0'(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))))), 0'(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))), 2'(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))))), 1'(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))), 2'(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))))), 1'(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))), 1'(0(2(2(2(2(0(2(0(1(0(0(2(z0))))))))))))), 0'(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))), 2'(2(2(2(0(2(0(1(0(0(2(z0))))))))))), 2'(2(2(0(2(0(1(0(0(2(z0)))))))))), 2'(2(0(2(0(1(0(0(2(z0))))))))), 2'(0(2(0(1(0(0(2(z0)))))))), 0'(2(0(1(0(0(2(z0))))))), 2'(0(1(0(0(2(z0)))))), 0'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1

Compound Symbols:   c7_27, c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c59_27, c60_27, c61_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c79_27, c80_27, c81_27, c82_27, c83_27, c84_27, c85_27, c86_27, c87_27, c88_27, c89_27, c90_27, c91_27, c92_27, c93_27, c94_27, c95_27, c96_27, c97_27, c98_27, c99_27, c100_27, c101_27, c102_27, c103_27, c6_1, c_2, c1_2, c2_2


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> c7(0'(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(z0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(z0))))))))))), 1'(0(2(2(2(0(1(1(2(2(z0)))))))))), 0'(2(2(2(0(1(1(2(2(z0))))))))), 2'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) by 
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x0))))))))))))))))))))))) -> c7(0'(c_1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(x0))))))))))), 1'(0(2(2(2(0(1(1(2(2(x0)))))))))), 0'(2(2(2(0(1(1(2(2(x0))))))))), 2'(2(2(0(1(1(2(2(x0)))))))), 2'(2(0(1(1(2(2(x0))))))), 2'(0(1(1(2(2(x0)))))), 0'(1(1(2(2(x0))))), 1'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0))
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x0))))))))))))))))))))))) -> c7(0'(1(c_2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(x0))))))))))), 1'(0(2(2(2(0(1(1(2(2(x0)))))))))), 0'(2(2(2(0(1(1(2(2(x0))))))))), 2'(2(2(0(1(1(2(2(x0)))))))), 2'(2(0(1(1(2(2(x0))))))), 2'(0(1(1(2(2(x0)))))), 0'(1(1(2(2(x0))))), 1'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0))
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x0))))))))))))))))))))))) -> c7(0'(1(2(c_1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(x0))))))))))), 1'(0(2(2(2(0(1(1(2(2(x0)))))))))), 0'(2(2(2(0(1(1(2(2(x0))))))))), 2'(2(2(0(1(1(2(2(x0)))))))), 2'(2(0(1(1(2(2(x0))))))), 2'(0(1(1(2(2(x0)))))), 0'(1(1(2(2(x0))))), 1'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0))
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x0))))))))))))))))))))))) -> c7(0'(1(2(1(c_1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(x0))))))))))), 1'(0(2(2(2(0(1(1(2(2(x0)))))))))), 0'(2(2(2(0(1(1(2(2(x0))))))))), 2'(2(2(0(1(1(2(2(x0)))))))), 2'(2(0(1(1(2(2(x0))))))), 2'(0(1(1(2(2(x0)))))), 0'(1(1(2(2(x0))))), 1'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0))
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   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x0))))))))))))))))))))))) -> c7(0'(1(2(1(1(1(c_2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(x0))))))))))), 1'(0(2(2(2(0(1(1(2(2(x0)))))))))), 0'(2(2(2(0(1(1(2(2(x0))))))))), 2'(2(2(0(1(1(2(2(x0)))))))), 2'(2(0(1(1(2(2(x0))))))), 2'(0(1(1(2(2(x0)))))), 0'(1(1(2(2(x0))))), 1'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0))
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   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))), 0'(2(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))))))), 2'(2(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))), 2'(2(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))))), 2'(0(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))), 0'(1(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))))), 1'(1(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))), 1'(2(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))), 2'(2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))), 2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 0(1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(1(2(1(0(2(1(2(1(2(0(0(1(2(2(1(2(2(2(0(2(2(2(z0)))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))) -> 0(0(1(1(2(2(1(2(2(1(2(1(0(2(2(2(0(2(0(2(2(1(2(1(0(1(2(z0)))))))))))))))))))))))))))
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   2(z0) -> c_2(z0)
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   2(c_2(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(2(1(2(0(0(2(2(1(2(2(2(1(2(1(2(2(1(0(0(0(2(2(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(1(1(0(1(2(1(2(1(2(1(2(1(0(2(2(0(0(1(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(1(2(1(1(2(2(2(1(0(0(0(0(2(1(2(2(1(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))) -> 2(1(1(2(0(1(1(2(1(2(2(2(0(1(0(2(0(0(2(2(2(1(2(2(1(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(2(2(0(2(2(2(1(1(1(2(1(1(1(2(1(2(0(0(0(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(0(0(1(1(0(1(1(1(0(2(1(2(1(0(2(2(0(2(2(1(2(1(2(1(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(2(2(2(2(0(0(0(0(1(2(1(0(1(1(1(1(2(1(2(2(0(1(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(2(0(0(2(0(2(2(2(2(1(2(2(1(0(2(1(0(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> 2(2(0(1(0(1(1(2(2(2(1(1(2(0(0(0(2(2(0(0(2(2(2(1(2(0(2(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(2(0(2(2(2(2(0(2(0(2(1(1(1(1(0(1(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))
   2(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_2(z0))))))))))))))))))))))) -> 2(1(0(2(0(1(1(1(1(1(0(2(2(0(0(2(1(1(2(0(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_2(c_1(c_0(z0))))))))))))))))))))))) -> 2(2(0(2(2(0(2(1(2(0(1(1(1(1(2(2(2(0(2(1(2(0(1(1(0(1(0(z0)))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(0(1(0(2(2(0(0(2(1(2(1(2(2(0(0(2(0(2(2(2(1(0(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(0(1(2(1(0(2(2(2(2(1(2(1(2(1(2(2(2(0(1(2(0(0(2(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))) -> 2(1(0(2(2(2(1(2(2(0(2(2(1(2(1(2(0(0(0(1(2(2(1(0(2(2(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(2(2(0(1(0(0(0(1(1(2(1(2(2(1(2(2(1(2(2(1(0(0(0(0(0(2(z0)))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(z0))))))))))))))))))))))) -> 2(2(2(1(1(0(0(2(2(0(2(1(2(2(0(2(1(2(2(2(0(1(0(2(1(2(2(z0)))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))))))))) -> 2(0(1(2(0(0(2(0(1(2(0(1(2(0(2(1(1(0(2(2(1(2(2(2(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(0(0(0(0(0(1(0(2(2(1(2(0(0(2(2(1(1(2(2(1(2(2(2(1(0(z0)))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))) -> 2(0(1(1(0(0(2(2(0(1(1(1(1(1(2(2(1(2(1(2(1(0(0(0(2(2(0(z0)))))))))))))))))))))))))))
   2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_1(z0))))))))))))))))))))))) -> 2(1(2(1(2(2(0(1(1(0(2(1(2(1(1(0(2(2(2(2(0(2(0(1(0(0(2(z0)))))))))))))))))))))))))))
   2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> 2(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))))
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Tuples:
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   0'(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))) -> c10(1'(2(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0))))))))))))))))))))))))))), 2'(1(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))))))))), 1'(2(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0))))))))))))))))))))))))), 2'(1(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))))))), 1'(2(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0))))))))))))))))))))))), 2'(1(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))))), 1'(2(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0))))))))))))))))))))), 2'(1(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))))), 1'(1(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0))))))))))))))))))), 1'(2(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))))), 2'(1(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0))))))))))))))))), 1'(2(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))))), 2'(0(0(2(1(2(2(0(2(0(2(1(0(0(2(z0))))))))))))))), 0'(0(2(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))))), 0'(2(1(2(2(0(2(0(2(1(0(0(2(z0))))))))))))), 2'(1(2(2(0(2(0(2(1(0(0(2(z0)))))))))))), 1'(2(2(0(2(0(2(1(0(0(2(z0))))))))))), 2'(2(0(2(0(2(1(0(0(2(z0)))))))))), 2'(0(2(0(2(1(0(0(2(z0))))))))), 0'(2(0(2(1(0(0(2(z0)))))))), 2'(0(2(1(0(0(2(z0))))))), 0'(2(1(0(0(2(z0)))))), 2'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   0'(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_1(c_0(c_2(z0))))))))))))))))))))))) -> c11(1'(2(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 2'(0(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 0'(1(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(1(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 1'(2(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(1(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 1'(2(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 2'(1(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 1'(2(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(0(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 0'(2(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))))), 2'(2(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))))), 2'(0(1(2(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))))), 0'(1(2(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(2(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(2(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(2(1(2(2(0(1(1(2(2(z0))))))))))), 2'(2(1(2(2(0(1(1(2(2(z0)))))))))), 2'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_2(c_2(z0))))))))))))))))))))))) -> c12(2'(2(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0))))))))))))))))))))))))))), 2'(2(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))))))))), 2'(0(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0))))))))))))))))))))))))), 0'(1(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))))))), 1'(1(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0))))))))))))))))))))))), 1'(0(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))))), 0'(0(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0))))))))))))))))))))), 0'(2(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))))), 2'(0(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0))))))))))))))))))), 0'(2(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))))), 2'(2(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0))))))))))))))))), 2'(0(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))))), 0'(0(0(1(2(1(0(2(2(1(2(2(2(2(2(z0))))))))))))))), 0'(0(1(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))))), 0'(1(2(1(0(2(2(1(2(2(2(2(2(z0))))))))))))), 1'(2(1(0(2(2(1(2(2(2(2(2(z0)))))))))))), 2'(1(0(2(2(1(2(2(2(2(2(z0))))))))))), 1'(0(2(2(1(2(2(2(2(2(z0)))))))))), 0'(2(2(1(2(2(2(2(2(z0))))))))), 2'(2(1(2(2(2(2(2(z0)))))))), 2'(1(2(2(2(2(2(z0))))))), 1'(2(2(2(2(2(z0)))))), 2'(2(2(2(2(z0))))), 2'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   2'(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))) -> c102(2'(0(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))))), 0'(2(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))))), 2'(1(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))))), 1'(2(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))))), 2'(2(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))))), 2'(1(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))))), 1'(0(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))))), 2'(2(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))))), 2'(1(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))))), 1'(1(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))))), 1'(2(1(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))))), 2'(1(2(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))))), 1'(2(0(2(0(1(2(2(0(1(1(2(2(z0))))))))))))), 2'(0(2(0(1(2(2(0(1(1(2(2(z0)))))))))))), 0'(2(0(1(2(2(0(1(1(2(2(z0))))))))))), 2'(0(1(2(2(0(1(1(2(2(z0)))))))))), 0'(1(2(2(0(1(1(2(2(z0))))))))), 1'(2(2(0(1(1(2(2(z0)))))))), 2'(2(0(1(1(2(2(z0))))))), 2'(0(1(1(2(2(z0)))))), 0'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   2'(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))) -> c103(2'(2(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))))), 2'(0(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))))), 0'(0(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))))), 0'(2(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))))), 0'(1(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))))), 1'(1(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))))), 1'(2(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))))), 2'(2(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))))), 2'(0(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))))), 0'(1(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))))), 1'(2(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))))), 2'(2(0(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))))), 2'(0(2(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))))), 0'(2(2(0(1(0(2(0(1(2(0(0(2(z0))))))))))))), 2'(2(0(1(0(2(0(1(2(0(0(2(z0)))))))))))), 2'(0(1(0(2(0(1(2(0(0(2(z0))))))))))), 0'(1(0(2(0(1(2(0(0(2(z0)))))))))), 1'(0(2(0(1(2(0(0(2(z0))))))))), 0'(2(0(1(2(0(0(2(z0)))))))), 2'(0(1(2(0(0(2(z0))))))), 0'(1(2(0(0(2(z0)))))), 1'(2(0(0(2(z0))))), 2'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c1(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c1(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c1(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c2(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c2(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c2(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   0'(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_2(x0))))))))))))))))))))))) -> c7(0'(c_1(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))))), 1'(2(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))))), 2'(1(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))))), 1'(1(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))))), 1'(1(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))))), 1'(2(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))))), 2'(1(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))))), 1'(2(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))))), 2'(1(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))))), 1'(2(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))))), 2'(1(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))))), 1'(0(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))))), 0'(2(2(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))))), 2'(2(2(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))))), 2'(2(2(1(0(2(2(2(0(1(1(2(2(x0))))))))))))), 2'(2(1(0(2(2(2(0(1(1(2(2(x0)))))))))))), 2'(1(0(2(2(2(0(1(1(2(2(x0))))))))))), 1'(0(2(2(2(0(1(1(2(2(x0)))))))))), 0'(2(2(2(0(1(1(2(2(x0))))))))), 2'(2(2(0(1(1(2(2(x0)))))))), 2'(2(0(1(1(2(2(x0))))))), 2'(0(1(1(2(2(x0)))))), 0'(1(1(2(2(x0))))), 1'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0))
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S tuples:
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

Defined Pair Symbols:   0'_1, 1'_1, 2'_1, ENCODE_0_1, ENCODE_1_1, ENCODE_2_1, ENCARG_1

Compound Symbols:   c8_27, c9_27, c10_27, c11_27, c12_27, c13_27, c14_27, c15_27, c16_27, c17_27, c18_27, c19_27, c20_27, c21_27, c22_27, c23_27, c24_27, c25_27, c26_27, c27_27, c28_27, c29_27, c30_27, c31_27, c32_27, c33_27, c34_27, c35_27, c36_27, c37_27, c38_27, c39_27, c40_27, c42_27, c43_27, c44_27, c45_27, c46_27, c47_27, c48_27, c49_27, c50_27, c51_27, c52_27, c53_27, c54_27, c55_27, c56_27, c57_27, c58_27, c59_27, c60_27, c61_27, c63_27, c64_27, c65_27, c66_27, c67_27, c68_27, c69_27, c70_27, c71_27, c72_27, c73_27, c74_27, c75_27, c76_27, c77_27, c78_27, c79_27, c80_27, c81_27, c82_27, c83_27, c84_27, c85_27, c86_27, c87_27, c88_27, c89_27, c90_27, c91_27, c92_27, c93_27, c94_27, c95_27, c96_27, c97_27, c98_27, c99_27, c100_27, c101_27, c102_27, c103_27, c6_1, c_2, c1_2, c2_2, c7_27